考虑随机几何初始缺陷的储油罐抗震可靠度分析
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摘要
采用屈曲模态的线性组合形成初始缺陷构型,假定缺陷幅值服从零均值正态分布,通过拉丁超立方抽样法生成几何初始缺陷样本。进而,采用增量动力分析法获得加速度峰值与罐壁径向位移最大值的关系,并根据Budiansky-Roth准则确定出地震作用下罐壁失稳临界应力值。基于ABAQUS用户单元子程序实现了基于附加质量法的缺陷储油罐地震反应分析。据此,求解出随机地震作用下考虑和未考虑初始几何缺陷的储油罐可靠度。对比分析表明,随着地震作用的增大,罐壁最大压应力离散程度也增大,其概率分布呈现出非正态性,随机初始几何缺陷显著降低了储油罐的抗震可靠度。
Here,random initial imperfection configuration of an oil storage tank was modeled with a linear combination of its buckling modes,and the imperfection amplitude was assumed to be a normal random distribution with mean of zero. Geometric initial imperfection samples were generated with Latin hypercube sampling method. Then,the incremental dynamic analysis method was employed to obtain the relation between the peak of acceleration and the maximum radial displacement of the tank wall,and according to Budiansky-Roth criterion,the critical buckling stress of the tank wall was determined under the action of earthquake. Furthermore,a user-defined subroutine based on ABAQUS was used to realize seismic response analysis of the imperfect oil storage tank with the added mass method. Finally,the reliabilities of the oil storage tank considering geometric initial imperfections and not considering them under the action of random earthquake were solved. The contrastive analysis showed that with increase in seismic action,the dispersion degree of the maximum compression stress of the tank wall increases; its probability distribution exhibits non-normal characteristics; the random geometric initial imperfections significantly reduce the aseismic reliability of oil storage tanks.
Here,random initial imperfection configuration of an oil storage tank was modeled with a linear combination of its buckling modes,and the imperfection amplitude was assumed to be a normal random distribution with mean of zero. Geometric initial imperfection samples were generated with Latin hypercube sampling method. Then,the incremental dynamic analysis method was employed to obtain the relation between the peak of acceleration and the maximum radial displacement of the tank wall,and according to Budiansky-Roth criterion,the critical buckling stress of the tank wall was determined under the action of earthquake. Furthermore,a user-defined subroutine based on ABAQUS was used to realize seismic response analysis of the imperfect oil storage tank with the added mass method. Finally,the reliabilities of the oil storage tank considering geometric initial imperfections and not considering them under the action of random earthquake were solved. The contrastive analysis showed that with increase in seismic action,the dispersion degree of the maximum compression stress of the tank wall increases; its probability distribution exhibits non-normal characteristics; the random geometric initial imperfections significantly reduce the aseismic reliability of oil storage tanks.
引文
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[13]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[14]ABAQUS 6. 8. 1. User’s manual[Z]. ABAQUS Inc.,2008.
[15]BURATTI N,TAVANO M. Dynamic buckling and seismic fragility of anchored steel tanks by the mass method[J].Earthquake Engineering&Structure Dynamics,2014,24(1):1-21.
[16]BUDIANSKY B,ROTH R S. Axisymmetric dynamic buckling of clamped shallow spherical shell:D-1510[R].[S. l.]:NASA Technical Note,1962.
[17]WANG X Y,SUN B,LI Z X. Damage-induced material softening and its effect on seismic performance of steel structures[J]. Science China(Technological Sciences),2016,59(10):1-14.
[18]施刚,王飞,戴国欣,等. Q460D高强度结构钢材循环加载试验研究[J].土木工程学报,2012,45(7):48-55.SHI Gang,WANG Fei,DAI Guoxin,et al. Experimental study on cyclic loading of Q460D high strength steel[J].China Civil Engineering Journal,2012,45(7):48-55.
[19]建筑抗震设计规范:GB 50011—2010[S].北京:中国建筑工业出版社,2010.
[20]刘章军,刘子心.基于规范反应谱的全非平稳地震动过程模拟[J].振动工程学报,2017,30(3):457-465.LIU Zhangjun,LIU Zixin. Simulation of fully non-stationary ground motion based on seismic design response spectrum[J]. Journal of Vibration Engineering,2017,30(3):457-465.
[2]立式圆筒形钢制焊接油罐设计规范:GB 50341—2014[S].北京:中国计划出版社,2014.
[3]陈俊岭,舒文雅.基于改进的一致缺陷模态法的轴压圆柱薄壳极限承载力分析[J].特种结构,2013,30(6):53-57.CHEN Junling, SHU Wenya. Ultimate bearing capacity analysis of axial-loaded cylindrical shells based on improved uniform defect modal method[J]. Special Structures,2013,30(6):53-57.
[4]陈东,赵才棋,王修信.板片空间结构的缺陷稳定分析[J].建筑结构,2008,38(10):39-41.CHEN Dong,ZHAO Caiqi,WANG Xiuxin. Stability analysis of imperfect sheet space structure[J]. Building Structure,2008,38(10):39-41.
[5]高阳.轴压作用下椭圆形钢管的稳定性能研究[D].浙江:浙江大学,2015.
[6]MAHERI M R,ABDOLLAHI A. The effects of long term uniform corrosion on the buckling of ground based steel tanks under seismic loading[J]. Thin-Walled Structures,2013,62(1):1-9.
[7]杨宏康,高博青.基于Lyapunov特征指数的钢制储液罐动力失稳概率分析[J].振动与冲击,2016,35(1):112-117.YANG Hongkang, GAO Boqing. Dynamic instability probability analysis for liquid storage steel tanks subjected to earthquake excitations[J]. Journal of Vibration and Shock,2016,35(1):112-117.
[8]HOUSNER G W. Dynamic pressure on accelerated fluid containers[J]. Bulletin of the Seismological Society of America,1957,47(l):15-35.
[9]张兆龙,高博青,杨宏康.基于附加质量法的大型固定顶储液罐基底隔震分析[J].振动与冲击,2012,31(23):32-38.ZHANG Zhaolong,GAO Boqing,YANG Hongkang. Seismic analysis of a large base-isolated liquid storage tank with fixed roof based on added mass method[J]. Journal of Vibration and Shock,2012,31(23):32-38.
[10]柳伟,周叮,刘伟庆,等.基于概率密度演化的带有环形隔板圆柱形罐体中流体的晃动研究[J].振动与冲击,2015,34(11):110-115.LIU Wei, ZHOU Ding, LIU Weiqing, et al. Sloshing response of liquid in a cylindrical tank with an-annual baffle based on probability density evolution theory[J]. Journal of Vibration and Shock,2015,34(11):110-115.
[11]VIRELLA J C,GODOY L A,SUREZ L E. Fundamental modes of tank-liquid systems under horizontal motions[J].Engineering Structures,2006,28(10):1450-1461.
[12]胡盈辉,庄茁,由小川.大型储液罐在地震荷载作用下的附加质量法研究[J].压力容器,2009,26(8):1-6.HU Yinghui,ZHUANG Zhuo,YOU Xiaochuan. Added mass approach to a large-scale liquid-storage tank under seismic excitations[J]. Pressure Vessel Technology,2009,26(8):1-6.
[13]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[14]ABAQUS 6. 8. 1. User’s manual[Z]. ABAQUS Inc.,2008.
[15]BURATTI N,TAVANO M. Dynamic buckling and seismic fragility of anchored steel tanks by the mass method[J].Earthquake Engineering&Structure Dynamics,2014,24(1):1-21.
[16]BUDIANSKY B,ROTH R S. Axisymmetric dynamic buckling of clamped shallow spherical shell:D-1510[R].[S. l.]:NASA Technical Note,1962.
[17]WANG X Y,SUN B,LI Z X. Damage-induced material softening and its effect on seismic performance of steel structures[J]. Science China(Technological Sciences),2016,59(10):1-14.
[18]施刚,王飞,戴国欣,等. Q460D高强度结构钢材循环加载试验研究[J].土木工程学报,2012,45(7):48-55.SHI Gang,WANG Fei,DAI Guoxin,et al. Experimental study on cyclic loading of Q460D high strength steel[J].China Civil Engineering Journal,2012,45(7):48-55.
[19]建筑抗震设计规范:GB 50011—2010[S].北京:中国建筑工业出版社,2010.
[20]刘章军,刘子心.基于规范反应谱的全非平稳地震动过程模拟[J].振动工程学报,2017,30(3):457-465.LIU Zhangjun,LIU Zixin. Simulation of fully non-stationary ground motion based on seismic design response spectrum[J]. Journal of Vibration Engineering,2017,30(3):457-465.