固体火箭发动机药柱三维粘弹性随机有限元分析及概率贮存寿命预估
|
摘要
固体火箭发动机药柱结构完整性分析及贮存寿命预估是设计、生产和使用部门非常关注的关键问题。固体推进剂具有粘弹性和近似不可压缩性,其材料性能和载荷环境参数通常不能精确给出。因此,进行含随机参数固体火箭发动机药柱结构完整性分析及贮存寿命预估研究具有重要的理论意义和应用价值。本文以固体火箭发动机药柱为对象,深入系统地研究了三维粘弹性随机有限元法,分析了多种载荷作用下结构的随机响应和可靠度,提出了基于粘弹性随机有限元法和老化试验的概率贮存寿命预估模型。主要研究内容如下:
发展了不可压和近似不可压三维粘弹性增量有限元法。由Herrmann变分原理和对应原理出发得到了不可压和近似不可压粘弹性材料的积分型本构关系,然后利用增量法处理遗传积分,根据虚功原理给出了三维粘弹性有限元列式,推导过程中考虑了材料性能对温度的依赖关系。该方法可用于分析泊松比接近甚至等于0.5的粘弹性问题,为药柱的粘弹性随机有限元分析奠定了基础。
研究和改进了三维粘弹性Monte Carlo随机有限元法。针对简单随机抽样计算量大的缺点,引入Latin超立方抽样技术以提高计算效率。采用该方法详细研究了药柱结构随机响应的正态性、随机参数与响应之间的函数关系以及随机参数的概率灵敏度,为发展其它形式的粘弹性随机有限元法奠定了基础。
研究了三维粘弹性摄动随机有限元法。基于不可压和近似不可压三维粘弹性有限元法,采用一阶摄动技术处理随机参数,推导了三维粘弹性摄动随机有限元法的递推方程组,并给出了结构响应统计特征的求解方法,推导过程中同时考虑了固体推进剂力学性能和载荷环境的随机性。研究结果表明三维粘弹性摄动随机有限元法计算效率较高,且精度能够满足工程需要。
提出了三维粘弹性谱随机有限元法。基于不可压和近似不可压三维粘弹性有限元法和正交展开理论,考虑固体推进剂泊松比的随机性,推导了三维粘弹性谱随机有限元法的扩阶方程。研究结果显示,粘弹性谱随机有限元法能够考虑参数随机性对结构响应均值的影响,其计算精度高于粘弹性一阶摄动随机有限元法。
研究了三维粘弹性响应面随机有限元法,实现了具体型号固体火箭发动机药柱的随机结构分析。基于中心复合设计技术获得了输入、输出随机参数的多组试验值,由最小二乘法估计响应面函数的各项系数,结合Monte Carlo方法分析了某型固体火箭发动机药柱结构在不同发射条件下的随机响应。
研究了结构可靠度算法,实现了具体型号固体火箭发动机药柱的结构可靠度分析。根据所选择的固体推进剂破坏判据,运用应力—强度干涉理论建立了药柱结构可靠度模型,针对不同类型粘弹性随机有限元法的特点,给出了相应的可靠度算法,研究了可靠指标与安全系数之间的对应关系,分析了某型号发动机药柱在不同发射条件下的结构可靠度。
提出了基于粘弹性随机有限元法和固体推进剂高温加速老化试验的固体火箭发动机药柱概率贮存寿命预估模型。通过对老化试验数据进行统计分析得到了固体推进剂性能参数数字特征随贮存时间的变化规律,采用三维粘弹性响应面随机有限元法计算了药柱响应的均值和标准差,最后分析了某型固体火箭发动机药柱在不同贮存期的结构可靠度,并预估了其概率贮存寿命。
本文的研究成果对含随机参数固体火箭发动机药柱的结构完整性分析及贮存寿命预估具有重要的指导作用,所提出的方法及分析结论可为固体火箭发动机设计、制造和使用部门参考。
Structural integrity analysis and storage life prediction of grain is a critical problem for the designers, manufacturers and users of Solid Rocket Motor (SRM).As solid propellant is a kind of viscoelastic and nearly incompressible material, its property parameters and load/environment parameters can't be given accurately in general. Therefore, it is of important value both on theory and application to research structural integrity analysis and storage life prediction of SRM grain with random parameters. Taking SRM grain as the object, a deep investigation is conducted about 3D viscoelastic Stochastic Finite Element Method (SFEM) systematically, random response and structural reliability of grain under different loads are analyzed, and a probabilistic storage life prediction model based on viscoelastic SFEM and aging test is proposed in this dissertation. The main work and achievements are summarized as follows:
Incompressible and nearly incompressible 3D viscoelastic incremental Finite Element Method (FEM) is developed. Based on Herrmann variational prinple and correspondence principle, integral constitutive relation of incompressible and nearly incompressible viscoelastic material is derived, incremental arithmetic is applied to solve the hereditary integral and 3D viscoelastic finite element formulations are obtained in terms of the principle of virtual work. During the derivation, the dependence relation between material properties and temperature is considered. This method is suitable for viscoelastic problems whose Poisson's ratio is close even equal to 0.5 and it provides the basis for viscoelastic stochastic finite element analysis of grain.
3D Viscoelastic Monte Carlo SFEM (VMCSFEM) is researched and developed. Latin Hypercube Sampling (LHS) technique is introduced to enhance computing efficiency because of the deficiency of simple random sampling. Normality of response, functional relations between parameters and response, and probabilistic sensitivity of random parameters are all investigated in detail based on VMCSFEM. This research provides the basis for developing other viscoelastic SFEMs.
3D Viscoelastic Perturbation SFEM (VPSFEM) is researched. Based on incompressible and nearly incompressible viscoelastic FEM, first order perturbation technique is applied to deal with random parameters. Recursive formulations of 3D VPSFEM are derived and the solution method for evaluating statistical characters of structural response is also presented. The randomicity of solid propellant mechanical properties and load/environment parameters is taken into account in the derivation process. The results show that 3D VPSFEM is efficient, and its accuracy can meet practical engineering requirements.
3D Viscoelastic Spectral SFEM (VSSFEM) is proposed. Considering the randomicity of solid propellant Poisson's ratio, 3D viscoelastic spectral stochastic finite element formulations are derived based on incompressible and nearly incompressible viscoelastic FEM and orthogonal expansion theory. The results show that VSSFEM can consider the influence of random parameter on structural response mean value, so its accuracy is higher than viscoelastic first order perturbation SFEM.
3D Viscoelastic Response Surface SFEM (VRSSFEM) is researched and stochastic structural analysis of a practical SRM grain is achieved. Multiple experimental points of input-output parameters are obtained by central composite design technique. The coefficients of the response surface function are acquired by the least square method. Under different ignition conditions, stochastic response analysis of a certain SRM grain is completed based on the response surface function and Monte Carlo method.
Structural reliability arithmetics are investigated and structural reliability of a practical SRM grain is analyzed. Stress-strength interference theory is applied to establish structural reliability model of SRM grain based on the selected failure criterion of solid propellant, and corresponding reliability analysis arithmetics are presented in account with different viscoelastic SFEMs. The relation between reliability index and safety factor is investigated, and structural reliability of a certain SRM grain under different ignition conditions is evaluated.
A probabilistic storage life prediction model of SRM grain is proposed based on viscoelastic SFEM and temperature accelerated aging test of solid propellant. Variation tendency along with storage time of digital characteristics of solid propellant property parameters is obtained by statistical analysis of aging test data, and the mean value and standard deviation of grain response is calculated by 3D VRSSFEM. Structural reliability of a certain SRM grain at different storage time is analyzed and probabilistic storage life of this grain is predicted.
The achievements obtained in this dissertation provide an important guidance to the structural integrity analysis and storage life prediction of SRM grain with random parameters. The methods and conclusions would be available for the designers, manufacturers and users of SRM.
发展了不可压和近似不可压三维粘弹性增量有限元法。由Herrmann变分原理和对应原理出发得到了不可压和近似不可压粘弹性材料的积分型本构关系,然后利用增量法处理遗传积分,根据虚功原理给出了三维粘弹性有限元列式,推导过程中考虑了材料性能对温度的依赖关系。该方法可用于分析泊松比接近甚至等于0.5的粘弹性问题,为药柱的粘弹性随机有限元分析奠定了基础。
研究和改进了三维粘弹性Monte Carlo随机有限元法。针对简单随机抽样计算量大的缺点,引入Latin超立方抽样技术以提高计算效率。采用该方法详细研究了药柱结构随机响应的正态性、随机参数与响应之间的函数关系以及随机参数的概率灵敏度,为发展其它形式的粘弹性随机有限元法奠定了基础。
研究了三维粘弹性摄动随机有限元法。基于不可压和近似不可压三维粘弹性有限元法,采用一阶摄动技术处理随机参数,推导了三维粘弹性摄动随机有限元法的递推方程组,并给出了结构响应统计特征的求解方法,推导过程中同时考虑了固体推进剂力学性能和载荷环境的随机性。研究结果表明三维粘弹性摄动随机有限元法计算效率较高,且精度能够满足工程需要。
提出了三维粘弹性谱随机有限元法。基于不可压和近似不可压三维粘弹性有限元法和正交展开理论,考虑固体推进剂泊松比的随机性,推导了三维粘弹性谱随机有限元法的扩阶方程。研究结果显示,粘弹性谱随机有限元法能够考虑参数随机性对结构响应均值的影响,其计算精度高于粘弹性一阶摄动随机有限元法。
研究了三维粘弹性响应面随机有限元法,实现了具体型号固体火箭发动机药柱的随机结构分析。基于中心复合设计技术获得了输入、输出随机参数的多组试验值,由最小二乘法估计响应面函数的各项系数,结合Monte Carlo方法分析了某型固体火箭发动机药柱结构在不同发射条件下的随机响应。
研究了结构可靠度算法,实现了具体型号固体火箭发动机药柱的结构可靠度分析。根据所选择的固体推进剂破坏判据,运用应力—强度干涉理论建立了药柱结构可靠度模型,针对不同类型粘弹性随机有限元法的特点,给出了相应的可靠度算法,研究了可靠指标与安全系数之间的对应关系,分析了某型号发动机药柱在不同发射条件下的结构可靠度。
提出了基于粘弹性随机有限元法和固体推进剂高温加速老化试验的固体火箭发动机药柱概率贮存寿命预估模型。通过对老化试验数据进行统计分析得到了固体推进剂性能参数数字特征随贮存时间的变化规律,采用三维粘弹性响应面随机有限元法计算了药柱响应的均值和标准差,最后分析了某型固体火箭发动机药柱在不同贮存期的结构可靠度,并预估了其概率贮存寿命。
本文的研究成果对含随机参数固体火箭发动机药柱的结构完整性分析及贮存寿命预估具有重要的指导作用,所提出的方法及分析结论可为固体火箭发动机设计、制造和使用部门参考。
Structural integrity analysis and storage life prediction of grain is a critical problem for the designers, manufacturers and users of Solid Rocket Motor (SRM).As solid propellant is a kind of viscoelastic and nearly incompressible material, its property parameters and load/environment parameters can't be given accurately in general. Therefore, it is of important value both on theory and application to research structural integrity analysis and storage life prediction of SRM grain with random parameters. Taking SRM grain as the object, a deep investigation is conducted about 3D viscoelastic Stochastic Finite Element Method (SFEM) systematically, random response and structural reliability of grain under different loads are analyzed, and a probabilistic storage life prediction model based on viscoelastic SFEM and aging test is proposed in this dissertation. The main work and achievements are summarized as follows:
Incompressible and nearly incompressible 3D viscoelastic incremental Finite Element Method (FEM) is developed. Based on Herrmann variational prinple and correspondence principle, integral constitutive relation of incompressible and nearly incompressible viscoelastic material is derived, incremental arithmetic is applied to solve the hereditary integral and 3D viscoelastic finite element formulations are obtained in terms of the principle of virtual work. During the derivation, the dependence relation between material properties and temperature is considered. This method is suitable for viscoelastic problems whose Poisson's ratio is close even equal to 0.5 and it provides the basis for viscoelastic stochastic finite element analysis of grain.
3D Viscoelastic Monte Carlo SFEM (VMCSFEM) is researched and developed. Latin Hypercube Sampling (LHS) technique is introduced to enhance computing efficiency because of the deficiency of simple random sampling. Normality of response, functional relations between parameters and response, and probabilistic sensitivity of random parameters are all investigated in detail based on VMCSFEM. This research provides the basis for developing other viscoelastic SFEMs.
3D Viscoelastic Perturbation SFEM (VPSFEM) is researched. Based on incompressible and nearly incompressible viscoelastic FEM, first order perturbation technique is applied to deal with random parameters. Recursive formulations of 3D VPSFEM are derived and the solution method for evaluating statistical characters of structural response is also presented. The randomicity of solid propellant mechanical properties and load/environment parameters is taken into account in the derivation process. The results show that 3D VPSFEM is efficient, and its accuracy can meet practical engineering requirements.
3D Viscoelastic Spectral SFEM (VSSFEM) is proposed. Considering the randomicity of solid propellant Poisson's ratio, 3D viscoelastic spectral stochastic finite element formulations are derived based on incompressible and nearly incompressible viscoelastic FEM and orthogonal expansion theory. The results show that VSSFEM can consider the influence of random parameter on structural response mean value, so its accuracy is higher than viscoelastic first order perturbation SFEM.
3D Viscoelastic Response Surface SFEM (VRSSFEM) is researched and stochastic structural analysis of a practical SRM grain is achieved. Multiple experimental points of input-output parameters are obtained by central composite design technique. The coefficients of the response surface function are acquired by the least square method. Under different ignition conditions, stochastic response analysis of a certain SRM grain is completed based on the response surface function and Monte Carlo method.
Structural reliability arithmetics are investigated and structural reliability of a practical SRM grain is analyzed. Stress-strength interference theory is applied to establish structural reliability model of SRM grain based on the selected failure criterion of solid propellant, and corresponding reliability analysis arithmetics are presented in account with different viscoelastic SFEMs. The relation between reliability index and safety factor is investigated, and structural reliability of a certain SRM grain under different ignition conditions is evaluated.
A probabilistic storage life prediction model of SRM grain is proposed based on viscoelastic SFEM and temperature accelerated aging test of solid propellant. Variation tendency along with storage time of digital characteristics of solid propellant property parameters is obtained by statistical analysis of aging test data, and the mean value and standard deviation of grain response is calculated by 3D VRSSFEM. Structural reliability of a certain SRM grain at different storage time is analyzed and probabilistic storage life of this grain is predicted.
The achievements obtained in this dissertation provide an important guidance to the structural integrity analysis and storage life prediction of SRM grain with random parameters. The methods and conclusions would be available for the designers, manufacturers and users of SRM.
引文
[1]潘吉星.中国火箭技术史稿-古代火箭技术的起源和发展[M].北京:科学出版社,1987
[2]潘吉星.中国古代四大发明-源流、外传及世界影响[M].合肥:中国科学技术大学出版社,2002
[3]陈汝训.固体火箭发动机设计与研究[M].北京:宇航出版社,1992
[4]王铮,胡永强.固体火箭发动机[M].北京:宇航出版社,1993
[5]Anon.Solid propellant grain structural integrity analysis[R].NASA Space Vehicle Design Criteria Monograph,NASA SP-8073,1973
[6]阿兰.达维纳著,张德雄,姚润森译.固体火箭推进剂技术[M].北京:宇航出版社,1997
[7]王春华.HTPB推进剂老化性能与贮存寿命预估的研究[D].长沙:国防科学技术大学,1998
[8]Jenaro G,Rey F,de la Cruz E.Aging behavior of composite propellant[R].AD-330303,1997
[9]朱美娴.防空导弹武器系统可靠性工程设计[M].北京:宇航出版社,1994
[10]Elishakoff I,Raton B.Three facets of uncertainty[J].Computers & Structures,1998,67(1):1-2
[11]秦权,林道锦,梅刚.结构可靠度随机有限元:理论及工程应用[M].北京:清华大学出版社,2006
[12]Ghanem R G,Spanos P D.Stochastic finite elements:a spectral approach[M].New York:Springer,1990
[13]Kleiber M,Hien T D.The stochastic finite element method:basic perturbation technique and computer implementation[M].New York:John Wiley & Sons,1992
[14]陈虬,刘先斌.随机有限元法及其工程应用[M].成都:西南交通大学出版社,1993
[15]李杰.随机结构系统[M].北京:科学出版社,1996
[16]Shinozuka M,Wen Y K.Monte-Carlo solution of nonlinear vibrations[J].AIAA Journal,1972,10(1):37-40
[17]Shinozuka M,Lenoe E.A probabilistic model for spatial destribution of material properties[J].Engineering Fracture Mechanics,1976,8(1):217-227
[18]Mckay M D,Beckman R J,Conover W J.A comparison of three methods for selecting values of input variables in the analysis of output from a computer code[J].Technometrics,1979,21(2):239-245
[19]Olsson A,Sandberg G,Dahlblom O.On Latin hypercube sampling of structural reliability analysis[J].Structural Safety,2003,25(1):47-68
[20]张书俊,任钧国,吴志桥.固体推进剂药柱的近似不可压缩粘弹性随机有限元[J].强度与环境,2006,33(2):33-38
[21]Papadrakakis M,Kotsopulos A.Parallel solution for stochastic finite element analysis using Monte Carlo simulation[J].Computer Methods in Applied Mechanics and Engineering,1999,168(1-4):305-320
[22]杨杰.非线性结构随机分析数值模拟的方法研究[D].成都:西南交通大学,2004
[23]朱卫兵.固体火箭发动机药柱结构完整性及可靠性分析[D].哈尔滨:哈尔滨工程大学,2005
[24]孙金云.固体推进剂类粘弹性材料结构可靠性分析[D].哈尔滨:哈尔滨工程大学,2006
[25]Hart G C,Collins J D.The treatment of randomness in finite element modeling[A].In National Aeronautic and Space Engineering and Manufacturing Meeting[C].Los Angeles,1970,1-12
[26]Hasselman T K,Hart G C.Model analysis of random structural systems[J].Probabilistic Engineering Mechanics,1972,98(2):561-586
[27]Chen P C,Soroka W W.Impulse response of a dynamic system with statistical properties[J].Journal of Sound and Vibration,1973,31(3):309-314
[28]Dendrou B A,Houstis E N.An inference-finite element model for field problems[J].Applied Mathematical Modeling,1978,2(2):109-114
[29]Chakraborty S,Bhattacharyya B.An efficient 3D stochastic finite element method[J].International Journal of Solids and Structures,2002,39(9):2465-2475
[30]Vanmarke E.Random field:analysis and synthesis[M].Cambridge:MIT Press,1983
[31]朱位秋,任永坚.随机场的局部平均与随机有限元[J].航空学报,1986,7(6):604-612
[32]Zhu W Q,Ren Y J,Wu W Q.Stochastic FEM based on local averages of random vector fields[J].Journal of Engineering Mechanics,1992,118(3):496-511
[33]Lawrence M A.Basic random variables in finite element analysis[J].International Journal for Numerical Methods in Engineering,1987,24(10):1849-1863
[34]Liu W K,Belytschko T,Mani A.A random field finite elements[J].International Journal for Numerical Methods in Engineering,1988,23(10):1831-1845
[35]Der Kiureghian A,Ke J B.The stochastic finite element method in structure reliability[J].Probabilistic Engineering Mechanics,1988,3(2):83-91
[36]Takada T.Weighted integral method in stochastic finite element analysis[J].Probabilistic Engineering Mechanics,1990,5(3):146-156
[37]Deodatis G.Bounds on response variability of stochastic finite element systems[J].Engineering Mechanics,1990,116(3):565-586
[38]Takada T.Weighted integral method in multi-dimensional stochastic finite element analysis[J].Probabilistic Engineering Mechanics,1990,5(4):158-166
[39]陈虬,李贤兴,戴志敏.等参局部平均随机场的随机有限元分析[J].西南交通大学学报,1991,26(3):67-72
[40]Li C-C,Der Kiureghian A.Optimal discretization of random fields[J].Engineering Mechanics,1993,119(6):1136-1154
[41]Liu W K,Belytschko T,Mani A.Probabilistic finite element methods for nonlinear structural dynamics[J].Computer Methods in Applied Mechanics and Engineering,1986,56(1):61-81
[42]Liu W K,Besterfield G H,Belytschko T.Transient probabilistic systems[J].Computer Methods in Applied Mechanics and Engineering,1988,67(1):27-54
[43]Liu P L,Der Kiureghian A.Reliability of geometrically nonlinear uncertain structures[J].Journal of Engineering Mechanics,1991,117(8):1806-1825
[44]Haldar A,Zhou Y.Reliability of geometrically nonlinear PR frames[J].Journal of Engineering Mechanics,1992,118(10):2148-2155
[45]赵雷.随机参数结构动力分析方法及地震可靠度研究[D].成都:西南交通大学,1996
[46]Teigen J G,Frangopol D M,Sture S.Probabilistic FEM for nonlinear concrete structures:theory[J].Jounal of Engineering Mechanics,1991,117(9):2674-2689
[47]Teigen J G,Frangopol D M,Sture S.Probabilistic FEM for nonlinear concret structures:Application[J].Journal of Engineering Mechanics,1991,117(9):2690-2707
[48]刘宁.可靠度随机有限元法及其工程应用[M].北京:中国水利水电出版社,2001
[49]Haldar A,Mahadevan S.Reliability assessment using stochastic finite element analysis[M].Chichester:John Wiley & Sons,2000
[50]张海联.固体火箭发动机药柱的粘弹性不确定结构分析[D].长沙:国防科 学技术大学,2002
[51]张海联,周建平.含随机参数的非线性粘弹性有限元计算[J].力学学报,2004,36(3):296-304
[52]Liu W K,Besterfield G H,Belytschko T.Variational approach to probabilistic finite elements[J].Journal of Engineering Mechanics,1988,114(12):2115-2133
[53]Hien T D,Kleiber M.Finite element analysis based on stochastic hamilton variational principle[J].Computers & Structures,1990,37(6):893-902
[54]张汝清,高行山.随机变量的变分原理及有限元法[J].应用数学和力学,1992,13(5):383-388
[55]张汝清,高行山.有限变形弹性理论随机变量变分原理及有限元法[J].应用数学和力学,1994,15(10):855-862
[56]赵雷,陈虬.结构动力分析的随机变分原理及随机有限元法[J].计算力学学报,1998,15(3):263-274
[57]刘宁,刘光廷.大体积混凝土结构温度场的随机有限元方法[J].清华大学学报,1996,36(1):41-47
[58]张海联,周建平.粘弹性随机分析的虚功原理及随机有限元[J].计算力学学报,2003,20(2):133-139
[59]杨绿峰,高兑现,李桂青.随机结构在随机激励下的二阶摄动随机势能泛函及其应用[J].应用力学学报,1999,16(4):35-39
[60]Jensen H,Iwan W D.Response variability in structural dynamics[J].Earthquake Engineering and Structural Dynamics,1991,20(10):949-959
[61]林家浩,夏杰,张亚辉.非平稳随机摄动分析中的久期项效应[J].振动工程学报,2003,16(1):124-127
[62]Yamazaki F,Shinozuka M,Desgupta G.Neumann expansion for stochastic finite element analysis[J].Journal of Engineering Mechanics,1988,114(8):1335-1353
[63]Adomian G.Stochastic systems[M].New Yok:Academic Press,1983
[64]Lei Zhao,Qiu Chen.Neumann Dynamic stochastic finite element method of vibration for strucutures with stochastic parameters to random excitation[J].Computers & Structures,2000,77(6):651-657
[65]郝志明.随机有限元法及可靠性研究[D].成都:西南交通大学,2001
[66]Babuska I,Chleboum J.Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions[J].Mathmatics of Computation,2002,71(240):1339-1370
[67]Babuska I,Chatzipantelidis P.On solving elliptic stochastic partial differential equations[J].Computer Methods in Applied Mechanics and Engineering,2002,191(37-38):4093-4122
[68]Babuska I,Liu K M.On solving stochastic initial-value differential equations[J].Mathmatical Models & Methods in Applied Sciences,2003,13(5):715-745
[69]Vanmarke E,Shinozuka M,Nakagiri S,et al.Stochastic fields and stochastic finite elements[J].Structural Safety,1986,3(3):143-166
[70]朱位秋.随机振动[M].北京:科学出版社,1998
[71]Sun T C.A finite element method for random differential equations with random coefficients[J].SIAM Journal on Numerical Analysis,1979,16(6):1019-1035
[72]Ghanem R G,Spanos P D.Polynomial chaos in stochastic finite elements[J].Journal of Applied Mechanics,1990,57(1):197-202
[73]Ghanem R G,Spanos P D.Spectral stochastic finite element formulation for reliability analysis[J].Journal of Engineering Mechanics,1991,117(10):2351-2372
[74]Jensen H,Iwan W D.Response of systems with uncertain parameters to stochastic excitation[J].Jounal of Engineering Mechanics,1992,118(11):1012-1025
[75]Iwan W D,Jensen H.On the dynamic response of continuous systems including model uncertainty[J].Journal of Applied Mechanics,1993,60(2):484-490
[76]李杰,魏星.随机结构动力分析的递归聚缩算法[J].固体力学学报,1996,17(3):263-267
[77]Anders M,Hori M.Stochastic finite element method for elasto-plastic body[J].International Journal for Numerical Methods in Engineering,1999,46(11):1897-1916
[78]Iwan W D,Huang C H.On the dynamic response of non-linear systems with parameter uncertainties[J].International Journal of Non-Linear Mechanics,1996,31(5):631-645
[79]Ostoja-Starjewski M,Woods A.Spectral finite elements for vibration rods and beam with random field properties[J].Journal of Sound and Vibration,2003,268(4):779-797
[80]Ngah M F,Young A.Application of the spectral stochastic finite element method for performance prediction of composite structures[J].Composite Structures,2007,78(3):447-456
[8l]Yu Y,Keese A,Matthies H G.Coupling a stochastic finite element solver with ANSYS and visualization of the results[A].In Proceedings of the 21st CADFEM User's Meeting,International Congress on FEM Technology[C].Potsdam,2003,
[82]Montgomery D C 著,汪仁宫译.试验设计与分析[M].北京:中国统计出版社,1998
[83]Wong F C.Slope reliability and response surface method[J].Journal of Geotechnical Engineering,1985,111(1):32-53
[84]Wong F S.Uncertainties in dynamics soil-structure interaction[J].Journal of Engineering Mechanics,1984,110(2):308-324
[85]熊铁华.基于响应面的随机有限元法及其工程应用[D].武汉:武汉大学,2004
[86]吕震宙,赵洁,岳珠峰。机械可靠性分析的高精度响应面法[J].应用数学和力学,2007,28(1):17-24
[87]张书俊,任钧国,吴志桥.固体火箭发动机药柱点火过程结构可靠性的响应面法[J].固体火箭技术,2006,29(6):404-406
[88]Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7(1):57-66
[89]桂劲松,康海贵.结构可靠度分析的改进BP神经网络响应面法[J].应力力学学报,2005,22(1):127-131
[90]Rajashekhar M R,Ellingwood B R.A new look at the response surface approach for reliability analysis[J].Structural Safety,1993,10(12):205-220
[91]Faravelli L.A response surface approach for reliability analysis[J].Journal of Engineering Mechanics,1989,115(12):2763-2781
[92]吴翊,李永乐,胡庆军.应用数理统计[M].长沙:国防科技大学出版社,1995
[93]Shinozuka M.Structural response variability[J].Journal of Engineering Mechanics,1987,113(6):825-842
[94]Shinozuka M,Deodatis G.Response variability of stochastic finite element systems[J].Journal of Engineering Mechanics,1988,114(3):499-519
[95]Elishakoff I,Ren Y J.Improved finite element method for stochastic problems[J].Chaos,Solution & Fractals,1995,5(5):833-846
[96]Elishakoff I,Ren Y J,Shinozuka M.Variational principles developed for and applied to analysis of stochastic beams[J].Journal of Engineering Mechanics,1996,122(6):559-565
[97]Elishakoff I,Ren Y J.Some exact solutions for the bending of beams with spatially stochastic stiffness[J].International Journal of Solids and Structures,1995,32(16):2315-2327
[98]Ren Y J,Elishakoff I,Shinozuka M.Finite element method for stochastic beams based on variational principles[J].Journal of Applied Mechanics,1997,64(3):664-669
[99]Elishakoff I,Impollonia N,Ren Y J.New exact solutions for randomly loaded beams with stochastic flexibility[J].International Journal of Solids and Structures,1999,36(16):2325-2340
[100]李杰,陈建兵.随机结构反应的概率密度演化分析[J].同济大学学报,2003,31(12):1387-1391
[101]李杰,陈建兵.随机结构动力反应分析的概率密度演化方法[J].力学学报,2003,35(4):437-442
[102]Ditlevsen O,Madsen H O著,何军译.结构可靠度方法[M].上海:同济大学出版社,2005
[103]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000
[104]GB 50158-1992,港口工程结构可靠度设计统一标准[S],1992
[105]GB 50199-1994,水利水电工程结构可靠度设计统一标准[S],1994
[106]GB 50216-1994,铁路工程结构可靠度设计统一标准[S],1994
[107]GB/T 50283-1999,公路工程结构可靠度设计统一标准[S],1999
[108]GB 50068-2001,建筑结构可靠度设计统一标准[S],200l
[109]Freudenthal A M.The safety of structures[J].Transactions of ASCE,1947,102:125-129
[110]Freudenthal A M.Safety and the probability of structure failure[J].Transactions of ASCE,1956,121:1337-1397
[111]Nowak A S,Collins K R.Reliability of structures[M].重庆:重庆大学出版社,2005
[112]董聪.现代结构系统可靠性理论及其应用[M].北京:科学出版社,2001
[113]Hasofer A M,Lind N C.Exact and invariant second-moment code forms[J].Journal of Engineering Mechanics Division,1974,100(1):111-121
[114]Fiessler B,Neumann H J,Rackwitz R.Quadratic limit states in structural reliability[J].Journal of Engineering Mechanics Division,1979,105(4):661-676
[115]Tvedt L.Distritution of quadratic forms in normal space application to structural reliability[J].Journal of Engineering Mechanics,1990,116(6):1186-1197
[116]Breitung K,Hohenbichler M.Asymptotic approximations for multivariate integrals with an application to multinormal probabilities[J].Journal of Multivariate Analysis,1989,30(1):80-97
[117]Ang A H S,Tang W H.Probability concepts in engineering planing and design[M].New York:John Wiley & Sons,1984
[118]Moses F.System reliability development in structural engineering[J].Structural Safety,1982,1(1):3-13
[119]Thoft-Christensen P,Sorensen J D.Reliability of structural systems with correlated elements[J].Applied Mathematical Modeling,1982,6(3):171-178
[120]Murotsu Y,Okada H,Yonezawa M.Automatic generation of stochastically dominant modes of structural failure in frame structure[J].Structural Safety,1984,2(1):17-25
[121]Melchers R E,Tang L K.Dominant failure modes in stochastic structural systems[J].Structural Safety,1984,2(2):127-143
[122]Feng Y S.Enumerating significant failure modes of a structural system by using criterion methods[J].Computers & Structures,1988,30(5):1153-1157
[123]董聪.赘余桁架结构可靠性的计算方法[J].航空学报,1989,10(2):76-78
[124]冯元生,董聪.枚举结构主要失效模式的一种方法[J].航空学报,1991,12(9):537-541
[125]Cornell C A.Bounds on the reliability of structural systems[J].Journal of Structures Division,1967,93(ST1):171-200
[126]Ang A H S,Admin M.Reliability of structures and structural systems[J].Journal of Engineering Mechanics Division,1968,94(EM2):671-691
[127]Ang A H S,Abdelnour J,Chaker A A.Analysis of activity networks under uncertainy[J].Journal of Engineering Mechanics Division,1975,101(EM4):373-387
[128]Ditlevsen O.Narrow reliability bounds for structural systems[J].Journal of Structural Mechnics,1979,7(4):453-472
[129]Vanmarke E H.Matrix formulation of reliability analysis and reliability-based design[J].Computers & Structures,1973,3(4):757-770
[130]Hohenbichler M,Rackwitz R.First order concepts in system reliability[J].Structural Safety,1983,1(3):177-188
[131]Caflisch R E.Monte Carlo and quasi-Monte Carlo methods[J].Acta Numerica,1998,7:1-49
[132]Melchers R E.Importance sampling in structural systems[J].Structural Safety,1989,6(1):3-10
[133]Ziha K.Descriptive sampling in structural safety[J].Structural Safety,1995,17(1):33-41
[134]Ditlevsen O,Olesen R,Molar G.Solution of a class of load combination problems by directional simulation[J].Structural Safety,1986,4(2):95-109
[135]Ditlevsen O,Melchers R E,Gluver H.General multi-dimensional probability integration by directional simulation[J].Computers & Structures,1990,36(2):355-368
[136]Ditlevsen O,Bjerager P.Plastic reliability analysis by directional simulation[J].Journal of Engineering Mechanics,1988,115(6):1347-1362
[137]Bjerager P.Probability integration by directional simulation[J].Journal of Engineering Mechanics,1989,114(8):1285-1303
[138]Bucher C G.adaptive sampling-an iterative fast Monte Carlo procedure[J].Structural Safety,1988,5(2):119-126
[139]Melchers R E.Search-based importance sampling[J].Structural Safety,1990,9(2):117-128
[140]梅刚.基于非线性随机有限元的结构可靠度问题研究[D].北京:清华大学,2005
[141]Huntington D E,Lyrintzis C S.Improvements to and limitations of Latin Hypercube sampling[J].Probabilistic Engineering Mechanics,1998,13(4):245-253
[142]Ding Keqing,Zhou Zegong,Liu Chuntu.Latin Hypercube sampling used in the calculation of the fracture probability[J].Reliability Engineering and System Safety,1998,59(2):239-242
[143]Williams M L,Blatz P J,Schapery R A.Fundamental studies relating to systems analysis of solid propellant[R].AD-256905,1961
[144]Anon.Engineering methods for grain structural integrity analysis[R].AD-408799,1963
[145]杨挺青,罗文波,许平,等.粘弹性理论与应用[M].北京:科学出版社,2004
[146]魏培君,张双寅,吴永礼.粘弹性力学的对应原理及其数值反演方法[J].力学进展,1999,29(3):317-330
[147]White J I.Finite elements in linear viscoelasticity[A].In Proceedings 2rid Conference Matrix Methods in Structural Mechanics[C].AFF DL-TR-68-150,1968
[148]Zienkiewicz O C,Waston M,King I P.A numerical method of visco-elastic stress analysis[J].International Journal of Mechanics Science,1968,10(10):807-827
[149]Strinatha H R,Lewis R W.A finite element method for thermoviscoelastic analysis of plane problems[J].Computer Methods in Applied Mechanics and Engineering,1981,25(1):21-23
[150]王本华.固体推进剂的热粘弹性有限元分析[J].推进技术,1985,6(4):18-26
[151]尚世英.固体推进剂线粘弹性有限元分析[J].推进技术,1987,8(4):19-28
[152]冯志刚,周建平.长期贮存固体火箭发动机的温度应力分析[J].推进技术.1994,15(6):42-49
[153]冯志刚,周建平.固体火箭发动机药柱的长期老化效应分析[J].航空学报.1994,15(12):1507-1511
[154]唐国金,周建平.自由装填药柱的结构完整性分析[J].固体火箭技术,1994,17(2):13-19
[155]李录贤,叶天麒,沈亚鹏,等.三维药柱的热粘弹性有限元分析[J].推进技术,1997,18(3):45-50
[156]朱智春,蔡峨.固体火箭发动机药柱三维温度场应力场有限元分析[J].推进技术,1997,18(2):21-26
[157]徐新琦,于胜春.固化降温过程中推进剂药柱的瞬态响应分析[J].固体火箭技术,2004,27(3]:180-183
[158]Chyuan S W.Study of loading history effect for thermoviscoelastic solid propellant grains[J].Computers & Structures,2000,77(6):735-745
[159]Chyuan S W.Studies of Poisson's ratio variation for solid propellant grains under ignition pressure loading[J].International.Journal of Pressure Vessels and Piping,2003,80(12):871-877
[160]Martin J.A nonlinear constitutive relationship for composite propellants[R].AD-056465,1978
[161]Swanson S R,Christensen L W.A constitutive formulation for high-elongation propellants[J].Journal of Spacecraft and Rockets,1983,20(6):559-566
[162]Burke M A.Nonlinear viscoelastic constitutive model for solid propellant[J].Journal of Propulsion and Power,1992,8(3):586-591
[163]Lai J,Bakker A.3-D Schapery representation for nonlinear viscoelasticity and finite element implementation[J].Computational Mechanics,1996,18(3):182-191
[164]Chyuand S W.Nonlinear thermoviscoelastic analysis of solid propellant grains subjected to temperature loading[J].Finite Elements in Analysis and Design,2002,38(7):613-630
[165]Jana M K,Renganathan K,Venkateswara R G.Effect of geometric and material nonlinearities on the propellant grains stress analysis[J].Journal of Spacecraft and Rockets,1988,25(4):317-320
[166]Schapery R A.A micromechanical model for non-linear viscoelastic behavior of particle-reinforced rubber with distributed damage[J].Engineering Fracture Mechanics,1986,25(5):845-867
[167]Wong F C,Ait-Kadi A.Mechanical behavior of particulate composites:experiments and micromechanical predictions[J].Journal of Applied Polymer Science,1995,55(2):263-278
[168]沈怀荣.固体推进剂的粘弹性损伤分析及相关理论探讨[D].长沙:国防科学技术大学,1985
[169]周建平.化学不稳定的工程材料的粘弹性损伤本构模型[D].长沙:国防科 技大学,1989
[170]彭威.复合固体推进剂粘弹性损伤本构模型的细观力学研究[D].长沙:国防科技大学,2001
[171]阳建红,王芳文,覃世勇.HTPB复合固体推进剂的声发射特性及损伤模型的实验和理论研究[J].固体火箭技术,2000,23(3):37-40
[172]阳建红,俞茂宏,候根良.HTPB复合固体推进剂含损伤和老化本构研究[J].推进技术,2002,23(6):509-512
[173]沈亚鹏,殷家驹,陈书婵.基于Updated Lagrangian法的三维粘弹性大变形问题的有限元分析[J].计算结构力学及其应用,1987,4(4):43-54
[174]沈亚鹏,陈宜亨,彭亚非.以Kirchhoff应力张量-Green应变张量表示本构关系的粘弹性大变形平面问题的有限元法[J].固体力学学报,1987,8(4):310-320
[175]沈亚鹏,王晓明,梁汉梁.用Total Lagrangian增量有限元法分析固体火箭发动机的应力和变形[J].航空学报,1989,10(7):387-392
[176]强洪夫,汪亮,俞茂宏.固体火箭发动机药柱大变形数值分析[J].宇航学报(增刊),2000,21:77-83
[177]杜建科,朱祖念,张善祁.固体火箭发动机药柱损伤粘弹性有限元分析[J].固体火箭技术,200l,24(1):1-6
[178]Herrmann L R,Toms R M.A reformulation of the elastic field equations,in terms of displacements,valid for all admissible values of Poisson's ratio[J].Journal of Applied Mechanics,1964,31:140-141
[179]Herrmann L R.Elasticity equations for incompressible and nearly incompressible materials by variational theorem[J].AIAA Journal,1965,3(10):1896-1900
[180]Shariff M An extension of Herrmann's principle to nonlinear elasticity[J].Applied Mathematical Modeling,1997,21(2):97-107
[181]Yadagiri S,Reddy C P.Viscoelastic analysis of nearly incompressible solids[J].Computers & Structures,1985,20(5):817-825
[182]Shen Y P,Hasebe N,Lee L X.The finite element method of three-dimensional nonlinear viscoelastic large deformation problems[J].Computers & Structures,1995,55(4):659-666
[183]王元有,王新华,胡亚非.适用于固体推进剂药柱应力分析的一种粘弹性有限元法[J].宇航学报,1994,15(1):48-54
[184]张海联,周建平.固体推进剂药柱的近似不可压缩粘弹性增量有限元法[J].固体火箭技术,2001,24(2):36-40
[185]张建伟,孙冰.固体火箭发动机药柱大变形数值分析[J].固体火箭技术,2004,27(4):284-288
[186]张建伟,孙冰.固体火箭发动机药柱三维非线性结构分析[J].宇航学报,2006,27(5):871-875
[187]Achenbach J D.Dynamic response of a viscoelastic cylinder with ablating inner surface[J].Journal of Applied Mechanics,1966,33(6):275-281
[188]Chyuan S W.Dynamic analysis of solid propellant grains subjected to ignition pressurization loading[J].Journal of Sound and Vibration,2003,268(3):465-483
[189]Jacobs H R.An experimental study of the pressure distribution in burning flaws in a solid propellant grains[R].AFR-PL-TR-72-108,1972
[190]Kumar M,Kuo K K.Ignition of solid propellant crack tip under rapid pressurization[J].AIAA Journal,1980,18(7):825-833
[191]Kumar M,Kovacic S M,Kuo K K.Gas penetration flame pripegation and combustion process in solid propellant cracks[R].AIAA-20-1206,1980
[192]Kumar M,Kuo K K.Effect of deformation on flame spreading and combustion in propellant cracks[J].AIAA Journal,1981,19(12):1580-1589
[193]Kuo K K,Moreci J,Mantzaras J.Diffevent modes of crack pripagation in burning solid propellants[J].Journal of Propulsion and Power,1987,3(1):19-25
[194]韩小云.固体推进剂燃烧断裂研究和固体火箭发动机结构完整性分析[D].长沙:国防科技大学,1999
[195]何国强,蔡体敏,李江,等.含缺陷固体装药燃烧异常实验分析[J].1999,20(3):30-35
[196]邢耀国,熊华,董可海,等.聚硫推进剂燃烧条件下裂纹扩展过程的研究[J].推进技术,2000,21(3):71-74
[197]邢耀国,王立波,董可海,等.燃烧条件下影响推进剂脱粘面扩展的因素[J].推进技术,2001,22(1):77-80
[198]Masuero J R,Creus G J.Finite element analysis of viscoelastic fracture[J].International Journal of Fracture,1993,60(3):267-282
[199]Schapery R A.A theory of crack initiation and growth in viscoelastic media Ⅰ:Theoretical development[J].International Journal of Fracture,1975,11(1):141-159
[200]邢耀国,李亚飞,董可海,等.某端燃固体火前发动机脱粘面临尺寸的研究[J].推进技术,2003,26(4):48-51
[201]蒙上阳,唐国金,雷勇军.固体发动机药柱的裂纹稳定性分析[J].推进技术,2002,23(4):335-338
[202]Abdelaziz M N,Neviere R,Pluvinge G.Experimental investigation of fracture surface energy of a solid propellant under different loading rates[J].Engineering Fracture Mechanics,1988,31(6):1009-1026
[203]Frederick R A.Prediction and analyzing X-Rays to measure propellant crack propagation speed[J].Journal of Propulsion and Power,1996,12(2):310-314
[204]Abdelaziz M N,Neviere R,Pluvinge G.Experimental method for J_(IC)computation on fracture of solid propellants under dynamic loading conditions[J].Engineering Fracture Mechanics,1987,28(4):425-434
[205]Liu C T,Bellin J L,Holsinger R W.Effect of load history on the cumulative damage in a composite solid propellant[R].AIAA-86-1015,1986
[206]Liu C T.Effects of cyclic loading sequence on cumulative damage and constitutive behavior of a composite solid propellant[R].AIAA-87-0776,1987
[207]Bozkaya K,Sumer B,Kuran B,et al.Reliability analysis of a solid rocket motor based on response surface method and Monte Carlo Simulation[R].AIAA-2005-3598,2005
[208]Akpan U O,Dunbar T E.Probabilistic risk assessment of solid-propellant rocket motors[J].Journal of Spacecraft and Rockets,2003,40(3):426-432
[209]Chappell R N,Jensen F R,Burton R W.Statistical service life prediction:Minuteman Third-stage propellant grain[J].Journal of Spacecraft and Rockets,1968,5(1):42-46
[210]Heller R A,Kamat M P,Singh M P.Probability of solid-propellant motor failure due to environment temperatures[J].Journal of Spacecraft and Rockets,1979,16(3):140-146
[211]Heller R A,Singh M P,Zibdeh H S.Environmental effects on cumulative damage in rocket motors[J].Journal of Spacecraft and Rockets,1985,22(2):149-155
[212]Heller R A,Thangjitham S,Janajreh I M.Probabilistic service life prediction for solid propellant motors subjected to environmental thermal loads[R].AD-330303,1997
[213]Cost T L.Probabilistic service life prediction of missile structures subjected to random thermal loads[R].AIAA- 1980-406,1980
[214]Akpan U O,Wong F C.The role of probabilistic sensitivity analysis in assessing the service life of solid rocket motors[R].AIAA-2002-1714,2002
[215]Bozkaya K,Kuran B,Hasanoglu M S,et al.Effects of production variations on the reliability of a solid rocket motor[R].AIAA-2006-5123,2006
[216]刘兵吉.固体推进剂延伸率可靠寿命计算[J].推进技术,1990,11(4):46-50
[217]刘兵吉.固体推进剂贮存可靠寿命的Monte-Carlo仿真计算[J].推进技术,1992,13(2):68-71
[218]刘兵吉.随机载荷作用下药柱强度累积损伤可靠性计算[J].推进技术,1993,14(3):42-46
[219]王铮.药柱结构完整性的可靠性分析[J].固体火箭技术,2001,24(1):16-18
[220]张海联,周建平.固体推进剂药柱泊松比随机粘弹性有限元分析[J].推进技术,2001,22(3):245-249
[22I]张书俊,任钧国,田四朋.固体火箭发动机粘弹性药柱结构可靠度分析[J].固体火箭技术,2006,29(3):183-185
[222]Larson E L.A review of the Minuteman propulsion surveillance program for assign rocket motor service life[R].AD-467048,1965
[223]Loyd D K.Long Range Service Life Analysis(LRSLA) system trend analysis life estimating procedure[R].AIAA-76-746,1976
[224]Kelley F N,Trout J L.Elements of solid rocket service life prediction[R].AIAA-72-1085,1972
[225]Bills K W,Depreu D O.The chemical kinetic approach to service life prediction of propellant systems[R].AIAA-79-243,1979
[226]Holl G.Former and modem method for determination of the service life of rocket propellant[R].AD-330303,1997
[227]Bennett S J.Carton/motor sample correlation[R].AD-771808,1973
[228]Faulkner G S,Buswell H J.The penetrometer:non-destructive testing of composite propellant rocket motor grains to determine ageing characteristics[R].AD-330303,1997
[229]Pearson L H,Doyle T E,Hamilton R S,et al.The role of NDE in service life prediction of solid rocket propellant[R].AD-330303,1997
[230]George D,Blair M.Overview of the Integrated High Payoff Rocket Propulsion Technology(IHPRPT) Program[R].AD-411290,2003
[231]Fillerup J,Pritchard R.Service Life Prediction Technology Program[R].AD-397950,2002
[232]Liu C T.Fracture Mechanics and Service Life Prediction Research[R].AD-410141,2003
[233]唐国金,周建平.某装填式固体发动机药柱的寿命预估[A].国防科技大学校庆40周年论文集[C].长沙:国防科技大学,1993,
[234]袁端才,唐国金,李海阳,等.基于加速老化与三维粘弹性有限元分析的固体导弹发动机寿命预估[J].兵工学报,2006,27(4):685-689
[235]邢耀国,董可海.固体火箭发动机寿命预估研究的发展和展望[J].固体火箭技术,2001,24(3):30-33
[236]邢耀国,金广文,许学春,等.某型固体火箭发动机综合性能试验与寿命评 估[J].推进技术,2004,25(2):176-179
[237]赵伯华,高鸣.火箭装药贮存寿命失效临界点的研究[J].推进技术,1996,17(3):68-71
[238]沈庭芳.固体高聚物空穴损伤模型与使用寿命预测[J].科学通报,2001,46(11):965-968
[239]Gao Ming,Cai Timin.Heat ageing experiment on initial void contentrate and its application a new method for predicting storage life of solid propellant grain[J].Journal of Propulsion Technology(Chinese),1999,20(5):99-103
[240]高鸣,蔡体敏,何国强.改性双基推进剂热老化燃烧性能试验研究与寿命预估[J].西北工业大学学报,2000,18(1):41-43
[241]鲁国林,罗怀德.定应变下丁羟推进剂贮存寿命预估[J].推进技术,2000,21(1):79-81
[242]李彦丽,赵海泉.发动机药柱和推进剂方坯老化性能相关性研究[J].固体火箭技术,2003,26(3):49～52
[243]张昊,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅰ):老化特征参数监测法[J].固体火箭技术,2005,28(4):271-275
[244]张昊,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅱ):动态力学性能主曲线监测法[J].固体火箭技术,2006,29(3):190-194
[245]张臭,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅲ):预测残留寿命延寿法[J].固体火箭技术,2006,29(4):279-282
[246]Heller R A,Singh M P.Thermal storage life of solid-propellant motors[J].Journal of Spacecraft and Rockets,1983,20(2):144-149
[247]Zibdeh H S,Heller R A.Rocket motor service life calculations based on the first-passage method[J].Journal of Spacecraft and Rockets,1989,26(4):279-284
[248]Margetson J,Wong F C.Service life prediction of solid rocket propellant motors stored in a random thermal environment[R].AD-330303,1997
[249]郝仲樟,刘子如,谢俊杰,等.预估FH-94固体推进剂使用寿命置信下限的研究[J].兵工学报,1994,15(2):20-23
[250]刘子如,郝仲璋,谢俊杰,等.FH-94固体推进剂的可靠度评估和可靠贮存寿命预测研究[J].兵工学报,1994,15(2):24-27
[251]刘德辉,贺南昌.复合推进剂贮存寿命及其可靠性研究[J].推进技术,1993,14(6):63-67
[252]何铁山,蒲远远,王志强,等.圆管发动机法测定固体推进剂的泊松比[J].推进技术,2001,22(2):171-173
[253]Zak A R.Structural analysis of realistic solid-propellant materials[J].Journal of Spacecraft and Rockets,1968,5(3):270-275
[254]张义同.热粘弹性理论[M].天津:天津大学出版社,2002
[255]冯志刚,周建平.粘弹性有限元法研究[J].上海力学,1995,16(1):20-26
[256]吴长春.偏量有限元混合变分原理及可压缩与不可压缩材料分析的杂交方法[J].合肥工业大学学报,1983,6(2):29-37
[257]钟万勰,李锡夔.不可压缩材料有限元分析中的广义位移方法[J].大连工学院学报,1981,20(4):1-10
[258]Wu Changchun,Yuan Lei,Tomonari F.Deviatoric hybrid model and multivariable elimination at element level for incompressible medium[J].International Journal for Numerical Methods in Engineering,1999,46(5):729-745
[259]阳建红,刘朝丰,徐景龙,等.复合固体推进剂松弛模量与蠕变柔量转换关系[J].推进技术,2004,25(2):159-161
[260]王元有.推进剂药柱在内压力载荷下的应力、应变的粘弹性分析[J].兵工学报,1983,4(3):20-33
[261]蒙上阳.基于粘弹性有限元方法的固体火箭发动机结构完整性分析[D].长沙:国防科学技术大学,2005
[262]胡全星,姜豫东,李健,等.推进剂松弛模量主曲线及W.L.F方程参数的拟和处理[J].固体火箭技术,2003,26(2):46-48
[263]王元有.固体火箭发动机设计[M].北京:国防工业出版社,1984
[264]斐鹿成.蒙特卡罗方法及其在粒子输运问题中的应用[M].北京:科学出版社,1980
[265]金伟娅,张康达.可靠性工程[M].北京:化学工业出版社,2005
[266]GB 4882-85.数据的统计处理和解释-正态性检验[S],1985
[267]金治明,李永乐.概率论与数理统计[M].长沙:国防科技大学出版社,1997
[268]张传林,林立东.伪.随机数发生器及其应用[J].数值计算与计算机应用,2002,3(3):188-208
[269]蔡坤宝,冯明志,杨泽林,等.均匀分布随机数的一种综合评估法[J].重庆大学学报,1997,20(4):70-75
[270]高惠璇.统计计算[M].北京:北京大学出版社,1995
[271]Manteufel R D.Evaluting the cnovergence of Latin Hypercube Sampling[R].AIAA-2000-1636,2000
[272]Manteufel R D.Estimating the error in LHS predictions[R].AIAA-2005-1820,2005
[273]张海联,周建平.固体推进剂药柱松弛模量随机粘弹性有限元分析[J].推进 技术,2001,22(4):332-336
[274]Elishakoff I,Ren Y J.The bird's eye view on finite element methods for structures with large stochastic variations[J].Computer Methods in Applied Mechanics and Engineering,1999,168(1):51-61
[275]李杰.随机结构分析的扩阶系统方法(Ⅰ)扩阶系统方程[J].地震工程与工程振动,1995,15(3):111-118
[276]李杰.随机结构分析的扩阶系统方法(Ⅱ)结构动力学分析[J].地震工程与工程振动,1995,15(4):27-35
[277]Ghanem R G,Kruger R M.Numerical solution of spectral stochastic finite element systems[J].Computer Methods in Applied Mechanics and Engineering,1996,129(3):289-303
[278]张森文,曹开彬,陈奎孚.精细积分时域平均法和随机扩阶系统法[J].力学学报,2000,32(2):191-197
[279]黄斌.一种新的谱随机有限元方法[J].武汉理工大学学报,2004,26(5):42-44
[280]Kaymaz I,Mcmahon C A.A response surface method based on weighted regression for structural reliability analysis[J].Probabilistic Engineering Mechanics,2005,20(1):11-17
[281]Gupta S,Manohar C S.An improved response surface method for the determination of failure probability and importance measures[J].Structural Safety,2004,26(2):123-139
[282]GB 50153-1992,工程结构可靠度设计统一标准[S],1992
[283]张俊华.导弹和运载火箭结构强度可靠性设计指南[M].北京:宇航出版社,1994
[284]Wang Zheng.Structural reliability design on solid rocket motor case[R].AIAA-93-2465,1993
[285]王善,何键.导弹结构可靠性[M].哈尔滨:哈尔滨工业大学出版社,2002
[286]Heller R A,Kamat M P.Service life prediction for solid propellant motors[R].AIAA-1978-486,1978
[287]Humble S,Margetson J.Failure probability estimation of solid rocket propellant due to storage in a random thermal environment[R].AIAA-81-1542,1981
[288]张海联,周建平.基于粘弹性随机有限元的固体推进剂药柱可靠性分析[J].固体火箭技术,2003,26(3):21-24
[289]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995
[290]何水清,王善.结构可靠性分析与设计[M].北京:国防工业出版社,1993
[291]Imai K,Frangopol D M.Geometrically nonlinear finite element reliability analysis of structure systems,Ⅰ:theory[J].Computers & Structures,2000,77(6):677-691
[292]武清玺.结构可靠性分析及随机有限元法[M].北京:机械工业出版社,2005
[293]陈建兵,李杰.随机结构分析中的均值参数反应与反应均值[J]。力学季刊,2002,23(3):412-416
[294]QJ 2328A-2005,复合固体推进剂高温加速老化试验方法[S],2005
[295]GB 4889-85,数据的统计处理和解释-正态分布均值和方差的估计与检验方法[S],1985
[296]GJB 770B-2005,火药试验方法[S],2005
[297]QJ 3228-2005,复合固体推进剂泊松比试验方法[S],2005
[298]Hilton H H,Hsu J,Kirby J S.Linear viscoelastic analysis with random material properties[A].In 2nd International Conference on Stochastic Structural Dynamics,Stochastic Structural Dynamics Ⅰ:New Theoretical Developments[C].Boca Raton Florida,1990,83-109
[2]潘吉星.中国古代四大发明-源流、外传及世界影响[M].合肥:中国科学技术大学出版社,2002
[3]陈汝训.固体火箭发动机设计与研究[M].北京:宇航出版社,1992
[4]王铮,胡永强.固体火箭发动机[M].北京:宇航出版社,1993
[5]Anon.Solid propellant grain structural integrity analysis[R].NASA Space Vehicle Design Criteria Monograph,NASA SP-8073,1973
[6]阿兰.达维纳著,张德雄,姚润森译.固体火箭推进剂技术[M].北京:宇航出版社,1997
[7]王春华.HTPB推进剂老化性能与贮存寿命预估的研究[D].长沙:国防科学技术大学,1998
[8]Jenaro G,Rey F,de la Cruz E.Aging behavior of composite propellant[R].AD-330303,1997
[9]朱美娴.防空导弹武器系统可靠性工程设计[M].北京:宇航出版社,1994
[10]Elishakoff I,Raton B.Three facets of uncertainty[J].Computers & Structures,1998,67(1):1-2
[11]秦权,林道锦,梅刚.结构可靠度随机有限元:理论及工程应用[M].北京:清华大学出版社,2006
[12]Ghanem R G,Spanos P D.Stochastic finite elements:a spectral approach[M].New York:Springer,1990
[13]Kleiber M,Hien T D.The stochastic finite element method:basic perturbation technique and computer implementation[M].New York:John Wiley & Sons,1992
[14]陈虬,刘先斌.随机有限元法及其工程应用[M].成都:西南交通大学出版社,1993
[15]李杰.随机结构系统[M].北京:科学出版社,1996
[16]Shinozuka M,Wen Y K.Monte-Carlo solution of nonlinear vibrations[J].AIAA Journal,1972,10(1):37-40
[17]Shinozuka M,Lenoe E.A probabilistic model for spatial destribution of material properties[J].Engineering Fracture Mechanics,1976,8(1):217-227
[18]Mckay M D,Beckman R J,Conover W J.A comparison of three methods for selecting values of input variables in the analysis of output from a computer code[J].Technometrics,1979,21(2):239-245
[19]Olsson A,Sandberg G,Dahlblom O.On Latin hypercube sampling of structural reliability analysis[J].Structural Safety,2003,25(1):47-68
[20]张书俊,任钧国,吴志桥.固体推进剂药柱的近似不可压缩粘弹性随机有限元[J].强度与环境,2006,33(2):33-38
[21]Papadrakakis M,Kotsopulos A.Parallel solution for stochastic finite element analysis using Monte Carlo simulation[J].Computer Methods in Applied Mechanics and Engineering,1999,168(1-4):305-320
[22]杨杰.非线性结构随机分析数值模拟的方法研究[D].成都:西南交通大学,2004
[23]朱卫兵.固体火箭发动机药柱结构完整性及可靠性分析[D].哈尔滨:哈尔滨工程大学,2005
[24]孙金云.固体推进剂类粘弹性材料结构可靠性分析[D].哈尔滨:哈尔滨工程大学,2006
[25]Hart G C,Collins J D.The treatment of randomness in finite element modeling[A].In National Aeronautic and Space Engineering and Manufacturing Meeting[C].Los Angeles,1970,1-12
[26]Hasselman T K,Hart G C.Model analysis of random structural systems[J].Probabilistic Engineering Mechanics,1972,98(2):561-586
[27]Chen P C,Soroka W W.Impulse response of a dynamic system with statistical properties[J].Journal of Sound and Vibration,1973,31(3):309-314
[28]Dendrou B A,Houstis E N.An inference-finite element model for field problems[J].Applied Mathematical Modeling,1978,2(2):109-114
[29]Chakraborty S,Bhattacharyya B.An efficient 3D stochastic finite element method[J].International Journal of Solids and Structures,2002,39(9):2465-2475
[30]Vanmarke E.Random field:analysis and synthesis[M].Cambridge:MIT Press,1983
[31]朱位秋,任永坚.随机场的局部平均与随机有限元[J].航空学报,1986,7(6):604-612
[32]Zhu W Q,Ren Y J,Wu W Q.Stochastic FEM based on local averages of random vector fields[J].Journal of Engineering Mechanics,1992,118(3):496-511
[33]Lawrence M A.Basic random variables in finite element analysis[J].International Journal for Numerical Methods in Engineering,1987,24(10):1849-1863
[34]Liu W K,Belytschko T,Mani A.A random field finite elements[J].International Journal for Numerical Methods in Engineering,1988,23(10):1831-1845
[35]Der Kiureghian A,Ke J B.The stochastic finite element method in structure reliability[J].Probabilistic Engineering Mechanics,1988,3(2):83-91
[36]Takada T.Weighted integral method in stochastic finite element analysis[J].Probabilistic Engineering Mechanics,1990,5(3):146-156
[37]Deodatis G.Bounds on response variability of stochastic finite element systems[J].Engineering Mechanics,1990,116(3):565-586
[38]Takada T.Weighted integral method in multi-dimensional stochastic finite element analysis[J].Probabilistic Engineering Mechanics,1990,5(4):158-166
[39]陈虬,李贤兴,戴志敏.等参局部平均随机场的随机有限元分析[J].西南交通大学学报,1991,26(3):67-72
[40]Li C-C,Der Kiureghian A.Optimal discretization of random fields[J].Engineering Mechanics,1993,119(6):1136-1154
[41]Liu W K,Belytschko T,Mani A.Probabilistic finite element methods for nonlinear structural dynamics[J].Computer Methods in Applied Mechanics and Engineering,1986,56(1):61-81
[42]Liu W K,Besterfield G H,Belytschko T.Transient probabilistic systems[J].Computer Methods in Applied Mechanics and Engineering,1988,67(1):27-54
[43]Liu P L,Der Kiureghian A.Reliability of geometrically nonlinear uncertain structures[J].Journal of Engineering Mechanics,1991,117(8):1806-1825
[44]Haldar A,Zhou Y.Reliability of geometrically nonlinear PR frames[J].Journal of Engineering Mechanics,1992,118(10):2148-2155
[45]赵雷.随机参数结构动力分析方法及地震可靠度研究[D].成都:西南交通大学,1996
[46]Teigen J G,Frangopol D M,Sture S.Probabilistic FEM for nonlinear concrete structures:theory[J].Jounal of Engineering Mechanics,1991,117(9):2674-2689
[47]Teigen J G,Frangopol D M,Sture S.Probabilistic FEM for nonlinear concret structures:Application[J].Journal of Engineering Mechanics,1991,117(9):2690-2707
[48]刘宁.可靠度随机有限元法及其工程应用[M].北京:中国水利水电出版社,2001
[49]Haldar A,Mahadevan S.Reliability assessment using stochastic finite element analysis[M].Chichester:John Wiley & Sons,2000
[50]张海联.固体火箭发动机药柱的粘弹性不确定结构分析[D].长沙:国防科 学技术大学,2002
[51]张海联,周建平.含随机参数的非线性粘弹性有限元计算[J].力学学报,2004,36(3):296-304
[52]Liu W K,Besterfield G H,Belytschko T.Variational approach to probabilistic finite elements[J].Journal of Engineering Mechanics,1988,114(12):2115-2133
[53]Hien T D,Kleiber M.Finite element analysis based on stochastic hamilton variational principle[J].Computers & Structures,1990,37(6):893-902
[54]张汝清,高行山.随机变量的变分原理及有限元法[J].应用数学和力学,1992,13(5):383-388
[55]张汝清,高行山.有限变形弹性理论随机变量变分原理及有限元法[J].应用数学和力学,1994,15(10):855-862
[56]赵雷,陈虬.结构动力分析的随机变分原理及随机有限元法[J].计算力学学报,1998,15(3):263-274
[57]刘宁,刘光廷.大体积混凝土结构温度场的随机有限元方法[J].清华大学学报,1996,36(1):41-47
[58]张海联,周建平.粘弹性随机分析的虚功原理及随机有限元[J].计算力学学报,2003,20(2):133-139
[59]杨绿峰,高兑现,李桂青.随机结构在随机激励下的二阶摄动随机势能泛函及其应用[J].应用力学学报,1999,16(4):35-39
[60]Jensen H,Iwan W D.Response variability in structural dynamics[J].Earthquake Engineering and Structural Dynamics,1991,20(10):949-959
[61]林家浩,夏杰,张亚辉.非平稳随机摄动分析中的久期项效应[J].振动工程学报,2003,16(1):124-127
[62]Yamazaki F,Shinozuka M,Desgupta G.Neumann expansion for stochastic finite element analysis[J].Journal of Engineering Mechanics,1988,114(8):1335-1353
[63]Adomian G.Stochastic systems[M].New Yok:Academic Press,1983
[64]Lei Zhao,Qiu Chen.Neumann Dynamic stochastic finite element method of vibration for strucutures with stochastic parameters to random excitation[J].Computers & Structures,2000,77(6):651-657
[65]郝志明.随机有限元法及可靠性研究[D].成都:西南交通大学,2001
[66]Babuska I,Chleboum J.Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions[J].Mathmatics of Computation,2002,71(240):1339-1370
[67]Babuska I,Chatzipantelidis P.On solving elliptic stochastic partial differential equations[J].Computer Methods in Applied Mechanics and Engineering,2002,191(37-38):4093-4122
[68]Babuska I,Liu K M.On solving stochastic initial-value differential equations[J].Mathmatical Models & Methods in Applied Sciences,2003,13(5):715-745
[69]Vanmarke E,Shinozuka M,Nakagiri S,et al.Stochastic fields and stochastic finite elements[J].Structural Safety,1986,3(3):143-166
[70]朱位秋.随机振动[M].北京:科学出版社,1998
[71]Sun T C.A finite element method for random differential equations with random coefficients[J].SIAM Journal on Numerical Analysis,1979,16(6):1019-1035
[72]Ghanem R G,Spanos P D.Polynomial chaos in stochastic finite elements[J].Journal of Applied Mechanics,1990,57(1):197-202
[73]Ghanem R G,Spanos P D.Spectral stochastic finite element formulation for reliability analysis[J].Journal of Engineering Mechanics,1991,117(10):2351-2372
[74]Jensen H,Iwan W D.Response of systems with uncertain parameters to stochastic excitation[J].Jounal of Engineering Mechanics,1992,118(11):1012-1025
[75]Iwan W D,Jensen H.On the dynamic response of continuous systems including model uncertainty[J].Journal of Applied Mechanics,1993,60(2):484-490
[76]李杰,魏星.随机结构动力分析的递归聚缩算法[J].固体力学学报,1996,17(3):263-267
[77]Anders M,Hori M.Stochastic finite element method for elasto-plastic body[J].International Journal for Numerical Methods in Engineering,1999,46(11):1897-1916
[78]Iwan W D,Huang C H.On the dynamic response of non-linear systems with parameter uncertainties[J].International Journal of Non-Linear Mechanics,1996,31(5):631-645
[79]Ostoja-Starjewski M,Woods A.Spectral finite elements for vibration rods and beam with random field properties[J].Journal of Sound and Vibration,2003,268(4):779-797
[80]Ngah M F,Young A.Application of the spectral stochastic finite element method for performance prediction of composite structures[J].Composite Structures,2007,78(3):447-456
[8l]Yu Y,Keese A,Matthies H G.Coupling a stochastic finite element solver with ANSYS and visualization of the results[A].In Proceedings of the 21st CADFEM User's Meeting,International Congress on FEM Technology[C].Potsdam,2003,
[82]Montgomery D C 著,汪仁宫译.试验设计与分析[M].北京:中国统计出版社,1998
[83]Wong F C.Slope reliability and response surface method[J].Journal of Geotechnical Engineering,1985,111(1):32-53
[84]Wong F S.Uncertainties in dynamics soil-structure interaction[J].Journal of Engineering Mechanics,1984,110(2):308-324
[85]熊铁华.基于响应面的随机有限元法及其工程应用[D].武汉:武汉大学,2004
[86]吕震宙,赵洁,岳珠峰。机械可靠性分析的高精度响应面法[J].应用数学和力学,2007,28(1):17-24
[87]张书俊,任钧国,吴志桥.固体火箭发动机药柱点火过程结构可靠性的响应面法[J].固体火箭技术,2006,29(6):404-406
[88]Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7(1):57-66
[89]桂劲松,康海贵.结构可靠度分析的改进BP神经网络响应面法[J].应力力学学报,2005,22(1):127-131
[90]Rajashekhar M R,Ellingwood B R.A new look at the response surface approach for reliability analysis[J].Structural Safety,1993,10(12):205-220
[91]Faravelli L.A response surface approach for reliability analysis[J].Journal of Engineering Mechanics,1989,115(12):2763-2781
[92]吴翊,李永乐,胡庆军.应用数理统计[M].长沙:国防科技大学出版社,1995
[93]Shinozuka M.Structural response variability[J].Journal of Engineering Mechanics,1987,113(6):825-842
[94]Shinozuka M,Deodatis G.Response variability of stochastic finite element systems[J].Journal of Engineering Mechanics,1988,114(3):499-519
[95]Elishakoff I,Ren Y J.Improved finite element method for stochastic problems[J].Chaos,Solution & Fractals,1995,5(5):833-846
[96]Elishakoff I,Ren Y J,Shinozuka M.Variational principles developed for and applied to analysis of stochastic beams[J].Journal of Engineering Mechanics,1996,122(6):559-565
[97]Elishakoff I,Ren Y J.Some exact solutions for the bending of beams with spatially stochastic stiffness[J].International Journal of Solids and Structures,1995,32(16):2315-2327
[98]Ren Y J,Elishakoff I,Shinozuka M.Finite element method for stochastic beams based on variational principles[J].Journal of Applied Mechanics,1997,64(3):664-669
[99]Elishakoff I,Impollonia N,Ren Y J.New exact solutions for randomly loaded beams with stochastic flexibility[J].International Journal of Solids and Structures,1999,36(16):2325-2340
[100]李杰,陈建兵.随机结构反应的概率密度演化分析[J].同济大学学报,2003,31(12):1387-1391
[101]李杰,陈建兵.随机结构动力反应分析的概率密度演化方法[J].力学学报,2003,35(4):437-442
[102]Ditlevsen O,Madsen H O著,何军译.结构可靠度方法[M].上海:同济大学出版社,2005
[103]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000
[104]GB 50158-1992,港口工程结构可靠度设计统一标准[S],1992
[105]GB 50199-1994,水利水电工程结构可靠度设计统一标准[S],1994
[106]GB 50216-1994,铁路工程结构可靠度设计统一标准[S],1994
[107]GB/T 50283-1999,公路工程结构可靠度设计统一标准[S],1999
[108]GB 50068-2001,建筑结构可靠度设计统一标准[S],200l
[109]Freudenthal A M.The safety of structures[J].Transactions of ASCE,1947,102:125-129
[110]Freudenthal A M.Safety and the probability of structure failure[J].Transactions of ASCE,1956,121:1337-1397
[111]Nowak A S,Collins K R.Reliability of structures[M].重庆:重庆大学出版社,2005
[112]董聪.现代结构系统可靠性理论及其应用[M].北京:科学出版社,2001
[113]Hasofer A M,Lind N C.Exact and invariant second-moment code forms[J].Journal of Engineering Mechanics Division,1974,100(1):111-121
[114]Fiessler B,Neumann H J,Rackwitz R.Quadratic limit states in structural reliability[J].Journal of Engineering Mechanics Division,1979,105(4):661-676
[115]Tvedt L.Distritution of quadratic forms in normal space application to structural reliability[J].Journal of Engineering Mechanics,1990,116(6):1186-1197
[116]Breitung K,Hohenbichler M.Asymptotic approximations for multivariate integrals with an application to multinormal probabilities[J].Journal of Multivariate Analysis,1989,30(1):80-97
[117]Ang A H S,Tang W H.Probability concepts in engineering planing and design[M].New York:John Wiley & Sons,1984
[118]Moses F.System reliability development in structural engineering[J].Structural Safety,1982,1(1):3-13
[119]Thoft-Christensen P,Sorensen J D.Reliability of structural systems with correlated elements[J].Applied Mathematical Modeling,1982,6(3):171-178
[120]Murotsu Y,Okada H,Yonezawa M.Automatic generation of stochastically dominant modes of structural failure in frame structure[J].Structural Safety,1984,2(1):17-25
[121]Melchers R E,Tang L K.Dominant failure modes in stochastic structural systems[J].Structural Safety,1984,2(2):127-143
[122]Feng Y S.Enumerating significant failure modes of a structural system by using criterion methods[J].Computers & Structures,1988,30(5):1153-1157
[123]董聪.赘余桁架结构可靠性的计算方法[J].航空学报,1989,10(2):76-78
[124]冯元生,董聪.枚举结构主要失效模式的一种方法[J].航空学报,1991,12(9):537-541
[125]Cornell C A.Bounds on the reliability of structural systems[J].Journal of Structures Division,1967,93(ST1):171-200
[126]Ang A H S,Admin M.Reliability of structures and structural systems[J].Journal of Engineering Mechanics Division,1968,94(EM2):671-691
[127]Ang A H S,Abdelnour J,Chaker A A.Analysis of activity networks under uncertainy[J].Journal of Engineering Mechanics Division,1975,101(EM4):373-387
[128]Ditlevsen O.Narrow reliability bounds for structural systems[J].Journal of Structural Mechnics,1979,7(4):453-472
[129]Vanmarke E H.Matrix formulation of reliability analysis and reliability-based design[J].Computers & Structures,1973,3(4):757-770
[130]Hohenbichler M,Rackwitz R.First order concepts in system reliability[J].Structural Safety,1983,1(3):177-188
[131]Caflisch R E.Monte Carlo and quasi-Monte Carlo methods[J].Acta Numerica,1998,7:1-49
[132]Melchers R E.Importance sampling in structural systems[J].Structural Safety,1989,6(1):3-10
[133]Ziha K.Descriptive sampling in structural safety[J].Structural Safety,1995,17(1):33-41
[134]Ditlevsen O,Olesen R,Molar G.Solution of a class of load combination problems by directional simulation[J].Structural Safety,1986,4(2):95-109
[135]Ditlevsen O,Melchers R E,Gluver H.General multi-dimensional probability integration by directional simulation[J].Computers & Structures,1990,36(2):355-368
[136]Ditlevsen O,Bjerager P.Plastic reliability analysis by directional simulation[J].Journal of Engineering Mechanics,1988,115(6):1347-1362
[137]Bjerager P.Probability integration by directional simulation[J].Journal of Engineering Mechanics,1989,114(8):1285-1303
[138]Bucher C G.adaptive sampling-an iterative fast Monte Carlo procedure[J].Structural Safety,1988,5(2):119-126
[139]Melchers R E.Search-based importance sampling[J].Structural Safety,1990,9(2):117-128
[140]梅刚.基于非线性随机有限元的结构可靠度问题研究[D].北京:清华大学,2005
[141]Huntington D E,Lyrintzis C S.Improvements to and limitations of Latin Hypercube sampling[J].Probabilistic Engineering Mechanics,1998,13(4):245-253
[142]Ding Keqing,Zhou Zegong,Liu Chuntu.Latin Hypercube sampling used in the calculation of the fracture probability[J].Reliability Engineering and System Safety,1998,59(2):239-242
[143]Williams M L,Blatz P J,Schapery R A.Fundamental studies relating to systems analysis of solid propellant[R].AD-256905,1961
[144]Anon.Engineering methods for grain structural integrity analysis[R].AD-408799,1963
[145]杨挺青,罗文波,许平,等.粘弹性理论与应用[M].北京:科学出版社,2004
[146]魏培君,张双寅,吴永礼.粘弹性力学的对应原理及其数值反演方法[J].力学进展,1999,29(3):317-330
[147]White J I.Finite elements in linear viscoelasticity[A].In Proceedings 2rid Conference Matrix Methods in Structural Mechanics[C].AFF DL-TR-68-150,1968
[148]Zienkiewicz O C,Waston M,King I P.A numerical method of visco-elastic stress analysis[J].International Journal of Mechanics Science,1968,10(10):807-827
[149]Strinatha H R,Lewis R W.A finite element method for thermoviscoelastic analysis of plane problems[J].Computer Methods in Applied Mechanics and Engineering,1981,25(1):21-23
[150]王本华.固体推进剂的热粘弹性有限元分析[J].推进技术,1985,6(4):18-26
[151]尚世英.固体推进剂线粘弹性有限元分析[J].推进技术,1987,8(4):19-28
[152]冯志刚,周建平.长期贮存固体火箭发动机的温度应力分析[J].推进技术.1994,15(6):42-49
[153]冯志刚,周建平.固体火箭发动机药柱的长期老化效应分析[J].航空学报.1994,15(12):1507-1511
[154]唐国金,周建平.自由装填药柱的结构完整性分析[J].固体火箭技术,1994,17(2):13-19
[155]李录贤,叶天麒,沈亚鹏,等.三维药柱的热粘弹性有限元分析[J].推进技术,1997,18(3):45-50
[156]朱智春,蔡峨.固体火箭发动机药柱三维温度场应力场有限元分析[J].推进技术,1997,18(2):21-26
[157]徐新琦,于胜春.固化降温过程中推进剂药柱的瞬态响应分析[J].固体火箭技术,2004,27(3]:180-183
[158]Chyuan S W.Study of loading history effect for thermoviscoelastic solid propellant grains[J].Computers & Structures,2000,77(6):735-745
[159]Chyuan S W.Studies of Poisson's ratio variation for solid propellant grains under ignition pressure loading[J].International.Journal of Pressure Vessels and Piping,2003,80(12):871-877
[160]Martin J.A nonlinear constitutive relationship for composite propellants[R].AD-056465,1978
[161]Swanson S R,Christensen L W.A constitutive formulation for high-elongation propellants[J].Journal of Spacecraft and Rockets,1983,20(6):559-566
[162]Burke M A.Nonlinear viscoelastic constitutive model for solid propellant[J].Journal of Propulsion and Power,1992,8(3):586-591
[163]Lai J,Bakker A.3-D Schapery representation for nonlinear viscoelasticity and finite element implementation[J].Computational Mechanics,1996,18(3):182-191
[164]Chyuand S W.Nonlinear thermoviscoelastic analysis of solid propellant grains subjected to temperature loading[J].Finite Elements in Analysis and Design,2002,38(7):613-630
[165]Jana M K,Renganathan K,Venkateswara R G.Effect of geometric and material nonlinearities on the propellant grains stress analysis[J].Journal of Spacecraft and Rockets,1988,25(4):317-320
[166]Schapery R A.A micromechanical model for non-linear viscoelastic behavior of particle-reinforced rubber with distributed damage[J].Engineering Fracture Mechanics,1986,25(5):845-867
[167]Wong F C,Ait-Kadi A.Mechanical behavior of particulate composites:experiments and micromechanical predictions[J].Journal of Applied Polymer Science,1995,55(2):263-278
[168]沈怀荣.固体推进剂的粘弹性损伤分析及相关理论探讨[D].长沙:国防科学技术大学,1985
[169]周建平.化学不稳定的工程材料的粘弹性损伤本构模型[D].长沙:国防科 技大学,1989
[170]彭威.复合固体推进剂粘弹性损伤本构模型的细观力学研究[D].长沙:国防科技大学,2001
[171]阳建红,王芳文,覃世勇.HTPB复合固体推进剂的声发射特性及损伤模型的实验和理论研究[J].固体火箭技术,2000,23(3):37-40
[172]阳建红,俞茂宏,候根良.HTPB复合固体推进剂含损伤和老化本构研究[J].推进技术,2002,23(6):509-512
[173]沈亚鹏,殷家驹,陈书婵.基于Updated Lagrangian法的三维粘弹性大变形问题的有限元分析[J].计算结构力学及其应用,1987,4(4):43-54
[174]沈亚鹏,陈宜亨,彭亚非.以Kirchhoff应力张量-Green应变张量表示本构关系的粘弹性大变形平面问题的有限元法[J].固体力学学报,1987,8(4):310-320
[175]沈亚鹏,王晓明,梁汉梁.用Total Lagrangian增量有限元法分析固体火箭发动机的应力和变形[J].航空学报,1989,10(7):387-392
[176]强洪夫,汪亮,俞茂宏.固体火箭发动机药柱大变形数值分析[J].宇航学报(增刊),2000,21:77-83
[177]杜建科,朱祖念,张善祁.固体火箭发动机药柱损伤粘弹性有限元分析[J].固体火箭技术,200l,24(1):1-6
[178]Herrmann L R,Toms R M.A reformulation of the elastic field equations,in terms of displacements,valid for all admissible values of Poisson's ratio[J].Journal of Applied Mechanics,1964,31:140-141
[179]Herrmann L R.Elasticity equations for incompressible and nearly incompressible materials by variational theorem[J].AIAA Journal,1965,3(10):1896-1900
[180]Shariff M An extension of Herrmann's principle to nonlinear elasticity[J].Applied Mathematical Modeling,1997,21(2):97-107
[181]Yadagiri S,Reddy C P.Viscoelastic analysis of nearly incompressible solids[J].Computers & Structures,1985,20(5):817-825
[182]Shen Y P,Hasebe N,Lee L X.The finite element method of three-dimensional nonlinear viscoelastic large deformation problems[J].Computers & Structures,1995,55(4):659-666
[183]王元有,王新华,胡亚非.适用于固体推进剂药柱应力分析的一种粘弹性有限元法[J].宇航学报,1994,15(1):48-54
[184]张海联,周建平.固体推进剂药柱的近似不可压缩粘弹性增量有限元法[J].固体火箭技术,2001,24(2):36-40
[185]张建伟,孙冰.固体火箭发动机药柱大变形数值分析[J].固体火箭技术,2004,27(4):284-288
[186]张建伟,孙冰.固体火箭发动机药柱三维非线性结构分析[J].宇航学报,2006,27(5):871-875
[187]Achenbach J D.Dynamic response of a viscoelastic cylinder with ablating inner surface[J].Journal of Applied Mechanics,1966,33(6):275-281
[188]Chyuan S W.Dynamic analysis of solid propellant grains subjected to ignition pressurization loading[J].Journal of Sound and Vibration,2003,268(3):465-483
[189]Jacobs H R.An experimental study of the pressure distribution in burning flaws in a solid propellant grains[R].AFR-PL-TR-72-108,1972
[190]Kumar M,Kuo K K.Ignition of solid propellant crack tip under rapid pressurization[J].AIAA Journal,1980,18(7):825-833
[191]Kumar M,Kovacic S M,Kuo K K.Gas penetration flame pripegation and combustion process in solid propellant cracks[R].AIAA-20-1206,1980
[192]Kumar M,Kuo K K.Effect of deformation on flame spreading and combustion in propellant cracks[J].AIAA Journal,1981,19(12):1580-1589
[193]Kuo K K,Moreci J,Mantzaras J.Diffevent modes of crack pripagation in burning solid propellants[J].Journal of Propulsion and Power,1987,3(1):19-25
[194]韩小云.固体推进剂燃烧断裂研究和固体火箭发动机结构完整性分析[D].长沙:国防科技大学,1999
[195]何国强,蔡体敏,李江,等.含缺陷固体装药燃烧异常实验分析[J].1999,20(3):30-35
[196]邢耀国,熊华,董可海,等.聚硫推进剂燃烧条件下裂纹扩展过程的研究[J].推进技术,2000,21(3):71-74
[197]邢耀国,王立波,董可海,等.燃烧条件下影响推进剂脱粘面扩展的因素[J].推进技术,2001,22(1):77-80
[198]Masuero J R,Creus G J.Finite element analysis of viscoelastic fracture[J].International Journal of Fracture,1993,60(3):267-282
[199]Schapery R A.A theory of crack initiation and growth in viscoelastic media Ⅰ:Theoretical development[J].International Journal of Fracture,1975,11(1):141-159
[200]邢耀国,李亚飞,董可海,等.某端燃固体火前发动机脱粘面临尺寸的研究[J].推进技术,2003,26(4):48-51
[201]蒙上阳,唐国金,雷勇军.固体发动机药柱的裂纹稳定性分析[J].推进技术,2002,23(4):335-338
[202]Abdelaziz M N,Neviere R,Pluvinge G.Experimental investigation of fracture surface energy of a solid propellant under different loading rates[J].Engineering Fracture Mechanics,1988,31(6):1009-1026
[203]Frederick R A.Prediction and analyzing X-Rays to measure propellant crack propagation speed[J].Journal of Propulsion and Power,1996,12(2):310-314
[204]Abdelaziz M N,Neviere R,Pluvinge G.Experimental method for J_(IC)computation on fracture of solid propellants under dynamic loading conditions[J].Engineering Fracture Mechanics,1987,28(4):425-434
[205]Liu C T,Bellin J L,Holsinger R W.Effect of load history on the cumulative damage in a composite solid propellant[R].AIAA-86-1015,1986
[206]Liu C T.Effects of cyclic loading sequence on cumulative damage and constitutive behavior of a composite solid propellant[R].AIAA-87-0776,1987
[207]Bozkaya K,Sumer B,Kuran B,et al.Reliability analysis of a solid rocket motor based on response surface method and Monte Carlo Simulation[R].AIAA-2005-3598,2005
[208]Akpan U O,Dunbar T E.Probabilistic risk assessment of solid-propellant rocket motors[J].Journal of Spacecraft and Rockets,2003,40(3):426-432
[209]Chappell R N,Jensen F R,Burton R W.Statistical service life prediction:Minuteman Third-stage propellant grain[J].Journal of Spacecraft and Rockets,1968,5(1):42-46
[210]Heller R A,Kamat M P,Singh M P.Probability of solid-propellant motor failure due to environment temperatures[J].Journal of Spacecraft and Rockets,1979,16(3):140-146
[211]Heller R A,Singh M P,Zibdeh H S.Environmental effects on cumulative damage in rocket motors[J].Journal of Spacecraft and Rockets,1985,22(2):149-155
[212]Heller R A,Thangjitham S,Janajreh I M.Probabilistic service life prediction for solid propellant motors subjected to environmental thermal loads[R].AD-330303,1997
[213]Cost T L.Probabilistic service life prediction of missile structures subjected to random thermal loads[R].AIAA- 1980-406,1980
[214]Akpan U O,Wong F C.The role of probabilistic sensitivity analysis in assessing the service life of solid rocket motors[R].AIAA-2002-1714,2002
[215]Bozkaya K,Kuran B,Hasanoglu M S,et al.Effects of production variations on the reliability of a solid rocket motor[R].AIAA-2006-5123,2006
[216]刘兵吉.固体推进剂延伸率可靠寿命计算[J].推进技术,1990,11(4):46-50
[217]刘兵吉.固体推进剂贮存可靠寿命的Monte-Carlo仿真计算[J].推进技术,1992,13(2):68-71
[218]刘兵吉.随机载荷作用下药柱强度累积损伤可靠性计算[J].推进技术,1993,14(3):42-46
[219]王铮.药柱结构完整性的可靠性分析[J].固体火箭技术,2001,24(1):16-18
[220]张海联,周建平.固体推进剂药柱泊松比随机粘弹性有限元分析[J].推进技术,2001,22(3):245-249
[22I]张书俊,任钧国,田四朋.固体火箭发动机粘弹性药柱结构可靠度分析[J].固体火箭技术,2006,29(3):183-185
[222]Larson E L.A review of the Minuteman propulsion surveillance program for assign rocket motor service life[R].AD-467048,1965
[223]Loyd D K.Long Range Service Life Analysis(LRSLA) system trend analysis life estimating procedure[R].AIAA-76-746,1976
[224]Kelley F N,Trout J L.Elements of solid rocket service life prediction[R].AIAA-72-1085,1972
[225]Bills K W,Depreu D O.The chemical kinetic approach to service life prediction of propellant systems[R].AIAA-79-243,1979
[226]Holl G.Former and modem method for determination of the service life of rocket propellant[R].AD-330303,1997
[227]Bennett S J.Carton/motor sample correlation[R].AD-771808,1973
[228]Faulkner G S,Buswell H J.The penetrometer:non-destructive testing of composite propellant rocket motor grains to determine ageing characteristics[R].AD-330303,1997
[229]Pearson L H,Doyle T E,Hamilton R S,et al.The role of NDE in service life prediction of solid rocket propellant[R].AD-330303,1997
[230]George D,Blair M.Overview of the Integrated High Payoff Rocket Propulsion Technology(IHPRPT) Program[R].AD-411290,2003
[231]Fillerup J,Pritchard R.Service Life Prediction Technology Program[R].AD-397950,2002
[232]Liu C T.Fracture Mechanics and Service Life Prediction Research[R].AD-410141,2003
[233]唐国金,周建平.某装填式固体发动机药柱的寿命预估[A].国防科技大学校庆40周年论文集[C].长沙:国防科技大学,1993,
[234]袁端才,唐国金,李海阳,等.基于加速老化与三维粘弹性有限元分析的固体导弹发动机寿命预估[J].兵工学报,2006,27(4):685-689
[235]邢耀国,董可海.固体火箭发动机寿命预估研究的发展和展望[J].固体火箭技术,2001,24(3):30-33
[236]邢耀国,金广文,许学春,等.某型固体火箭发动机综合性能试验与寿命评 估[J].推进技术,2004,25(2):176-179
[237]赵伯华,高鸣.火箭装药贮存寿命失效临界点的研究[J].推进技术,1996,17(3):68-71
[238]沈庭芳.固体高聚物空穴损伤模型与使用寿命预测[J].科学通报,2001,46(11):965-968
[239]Gao Ming,Cai Timin.Heat ageing experiment on initial void contentrate and its application a new method for predicting storage life of solid propellant grain[J].Journal of Propulsion Technology(Chinese),1999,20(5):99-103
[240]高鸣,蔡体敏,何国强.改性双基推进剂热老化燃烧性能试验研究与寿命预估[J].西北工业大学学报,2000,18(1):41-43
[241]鲁国林,罗怀德.定应变下丁羟推进剂贮存寿命预估[J].推进技术,2000,21(1):79-81
[242]李彦丽,赵海泉.发动机药柱和推进剂方坯老化性能相关性研究[J].固体火箭技术,2003,26(3):49～52
[243]张昊,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅰ):老化特征参数监测法[J].固体火箭技术,2005,28(4):271-275
[244]张昊,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅱ):动态力学性能主曲线监测法[J].固体火箭技术,2006,29(3):190-194
[245]张臭,彭爱民,彭松.固体推进剂贮存寿命非破坏性评估方法(Ⅲ):预测残留寿命延寿法[J].固体火箭技术,2006,29(4):279-282
[246]Heller R A,Singh M P.Thermal storage life of solid-propellant motors[J].Journal of Spacecraft and Rockets,1983,20(2):144-149
[247]Zibdeh H S,Heller R A.Rocket motor service life calculations based on the first-passage method[J].Journal of Spacecraft and Rockets,1989,26(4):279-284
[248]Margetson J,Wong F C.Service life prediction of solid rocket propellant motors stored in a random thermal environment[R].AD-330303,1997
[249]郝仲樟,刘子如,谢俊杰,等.预估FH-94固体推进剂使用寿命置信下限的研究[J].兵工学报,1994,15(2):20-23
[250]刘子如,郝仲璋,谢俊杰,等.FH-94固体推进剂的可靠度评估和可靠贮存寿命预测研究[J].兵工学报,1994,15(2):24-27
[251]刘德辉,贺南昌.复合推进剂贮存寿命及其可靠性研究[J].推进技术,1993,14(6):63-67
[252]何铁山,蒲远远,王志强,等.圆管发动机法测定固体推进剂的泊松比[J].推进技术,2001,22(2):171-173
[253]Zak A R.Structural analysis of realistic solid-propellant materials[J].Journal of Spacecraft and Rockets,1968,5(3):270-275
[254]张义同.热粘弹性理论[M].天津:天津大学出版社,2002
[255]冯志刚,周建平.粘弹性有限元法研究[J].上海力学,1995,16(1):20-26
[256]吴长春.偏量有限元混合变分原理及可压缩与不可压缩材料分析的杂交方法[J].合肥工业大学学报,1983,6(2):29-37
[257]钟万勰,李锡夔.不可压缩材料有限元分析中的广义位移方法[J].大连工学院学报,1981,20(4):1-10
[258]Wu Changchun,Yuan Lei,Tomonari F.Deviatoric hybrid model and multivariable elimination at element level for incompressible medium[J].International Journal for Numerical Methods in Engineering,1999,46(5):729-745
[259]阳建红,刘朝丰,徐景龙,等.复合固体推进剂松弛模量与蠕变柔量转换关系[J].推进技术,2004,25(2):159-161
[260]王元有.推进剂药柱在内压力载荷下的应力、应变的粘弹性分析[J].兵工学报,1983,4(3):20-33
[261]蒙上阳.基于粘弹性有限元方法的固体火箭发动机结构完整性分析[D].长沙:国防科学技术大学,2005
[262]胡全星,姜豫东,李健,等.推进剂松弛模量主曲线及W.L.F方程参数的拟和处理[J].固体火箭技术,2003,26(2):46-48
[263]王元有.固体火箭发动机设计[M].北京:国防工业出版社,1984
[264]斐鹿成.蒙特卡罗方法及其在粒子输运问题中的应用[M].北京:科学出版社,1980
[265]金伟娅,张康达.可靠性工程[M].北京:化学工业出版社,2005
[266]GB 4882-85.数据的统计处理和解释-正态性检验[S],1985
[267]金治明,李永乐.概率论与数理统计[M].长沙:国防科技大学出版社,1997
[268]张传林,林立东.伪.随机数发生器及其应用[J].数值计算与计算机应用,2002,3(3):188-208
[269]蔡坤宝,冯明志,杨泽林,等.均匀分布随机数的一种综合评估法[J].重庆大学学报,1997,20(4):70-75
[270]高惠璇.统计计算[M].北京:北京大学出版社,1995
[271]Manteufel R D.Evaluting the cnovergence of Latin Hypercube Sampling[R].AIAA-2000-1636,2000
[272]Manteufel R D.Estimating the error in LHS predictions[R].AIAA-2005-1820,2005
[273]张海联,周建平.固体推进剂药柱松弛模量随机粘弹性有限元分析[J].推进 技术,2001,22(4):332-336
[274]Elishakoff I,Ren Y J.The bird's eye view on finite element methods for structures with large stochastic variations[J].Computer Methods in Applied Mechanics and Engineering,1999,168(1):51-61
[275]李杰.随机结构分析的扩阶系统方法(Ⅰ)扩阶系统方程[J].地震工程与工程振动,1995,15(3):111-118
[276]李杰.随机结构分析的扩阶系统方法(Ⅱ)结构动力学分析[J].地震工程与工程振动,1995,15(4):27-35
[277]Ghanem R G,Kruger R M.Numerical solution of spectral stochastic finite element systems[J].Computer Methods in Applied Mechanics and Engineering,1996,129(3):289-303
[278]张森文,曹开彬,陈奎孚.精细积分时域平均法和随机扩阶系统法[J].力学学报,2000,32(2):191-197
[279]黄斌.一种新的谱随机有限元方法[J].武汉理工大学学报,2004,26(5):42-44
[280]Kaymaz I,Mcmahon C A.A response surface method based on weighted regression for structural reliability analysis[J].Probabilistic Engineering Mechanics,2005,20(1):11-17
[281]Gupta S,Manohar C S.An improved response surface method for the determination of failure probability and importance measures[J].Structural Safety,2004,26(2):123-139
[282]GB 50153-1992,工程结构可靠度设计统一标准[S],1992
[283]张俊华.导弹和运载火箭结构强度可靠性设计指南[M].北京:宇航出版社,1994
[284]Wang Zheng.Structural reliability design on solid rocket motor case[R].AIAA-93-2465,1993
[285]王善,何键.导弹结构可靠性[M].哈尔滨:哈尔滨工业大学出版社,2002
[286]Heller R A,Kamat M P.Service life prediction for solid propellant motors[R].AIAA-1978-486,1978
[287]Humble S,Margetson J.Failure probability estimation of solid rocket propellant due to storage in a random thermal environment[R].AIAA-81-1542,1981
[288]张海联,周建平.基于粘弹性随机有限元的固体推进剂药柱可靠性分析[J].固体火箭技术,2003,26(3):21-24
[289]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995
[290]何水清,王善.结构可靠性分析与设计[M].北京:国防工业出版社,1993
[291]Imai K,Frangopol D M.Geometrically nonlinear finite element reliability analysis of structure systems,Ⅰ:theory[J].Computers & Structures,2000,77(6):677-691
[292]武清玺.结构可靠性分析及随机有限元法[M].北京:机械工业出版社,2005
[293]陈建兵,李杰.随机结构分析中的均值参数反应与反应均值[J]。力学季刊,2002,23(3):412-416
[294]QJ 2328A-2005,复合固体推进剂高温加速老化试验方法[S],2005
[295]GB 4889-85,数据的统计处理和解释-正态分布均值和方差的估计与检验方法[S],1985
[296]GJB 770B-2005,火药试验方法[S],2005
[297]QJ 3228-2005,复合固体推进剂泊松比试验方法[S],2005
[298]Hilton H H,Hsu J,Kirby J S.Linear viscoelastic analysis with random material properties[A].In 2nd International Conference on Stochastic Structural Dynamics,Stochastic Structural Dynamics Ⅰ:New Theoretical Developments[C].Boca Raton Florida,1990,83-109