基于径向基点插值法的大口径火炮身管固有频率特性研究
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摘要
考虑炮口制退器和炮尾的影响,建立身管弹性动力学方程,结合有限元法与无网格方法的各自优点,基于径向基点插值法。以积分点所在的单元支持域作为积分点的插值域,提出单元支持域径向基点插值法。建立离散形式的身管弹性动力学方程,计算获得身管固有频率。通过数值算例和实验验证了所提方法求解身管模态的有效性。计算结果表明:在相同网格数的情况下,所提方法能够得到更准确的结果,而且与实验结果相吻合。
Considering the influence of muzzle brake and breech ring,an elastic dynamics equation of the barrel is established.Combining the advantages of the finite element method and the meshless method,an element supported domain radial point interpolation method is proposed based on the radial basis point interpolation method,in which the element supported domain is treated as the interpolation domain of the integration point to establish the discrete elastic dynamics equation.The natural frequencies of barrel are estimated by solving the dynamic equation.Finally,the effectiveness of the proposed method is demonstrated by numerical examples and experiments,and the results show that the proposed method can provide more accurate results with the same element number,which can coincide with the experimental results.
Considering the influence of muzzle brake and breech ring,an elastic dynamics equation of the barrel is established.Combining the advantages of the finite element method and the meshless method,an element supported domain radial point interpolation method is proposed based on the radial basis point interpolation method,in which the element supported domain is treated as the interpolation domain of the integration point to establish the discrete elastic dynamics equation.The natural frequencies of barrel are estimated by solving the dynamic equation.Finally,the effectiveness of the proposed method is demonstrated by numerical examples and experiments,and the results show that the proposed method can provide more accurate results with the same element number,which can coincide with the experimental results.
引文
[1]陈光宋,钱林方,徐亚栋,等.身管横向固有振动的半解析解法[J].兵工学报,2012,33(10):1168-1172.CHEN Guang-song,QIAN Lin-fang,XU Ya-dong,et al.Semianalytic solution of nature frequency of transverse vibration of a barrel[J].Acta Armamentarii,2012,33(10):1168-1172.(in Chinese)
[2]Qian L F,Chen G S.The uncertainty propagation analysis of the projectile-barrel coupling problem[J].Defence Technology,2017,13(4):1-5.
[3]刘军,卫丰,苟文选,等.温度场下火炮身管固有频率和振型的三维有限元分析[J].火炮发射与控制学报,2004,25(4):5-7.LIU Jun,WEI Feng,GOU Wen-xuan,et al.3D FEM analysis of natural frequency and mode of gun tube in temperature field[J].Journal of Gun Launch&Control,2004,25(4):5-7.(in Chinese)
[4]王宝元,刘朋科,衡刚,等.自行火炮固有频率特性实验研究[J].兵工学报,2011,32(11):1315-1319.WANG Bao-yuan,LIU Peng-ke,HENG Gang,et al.Experimental research on natural frequency characteristics of self-propelled guns[J].Acta Armamentarii,2011,32(11):1315-1319.(in Chinese)
[5]张海航,狄长安.某型多管火炮的振动模态分析[J].兵工学报,2008,29(12):1514-1517.ZHANG Hai-hang,DI Chang-an.Analysis of vibration modal of a multibarrel cannon[J].Acta Armamentarii,2008,29(12):1514-1517.(in Chinese)
[6]陈光宋,钱林方,吉磊.身管固有频率高效全局灵敏度分析[J].振动与冲击,2015,34(21):31-36.CHEN Guang-song,QIAN Lin-fang,JI Lei.An effective global sensitivity analysis method for natural frequencies of a barrel[J].Journal of Vibration and Shock,2015,34(21):31-36.(in Chinese)
[7]苏忠亭,徐达,杨明华,等.基于模态试验的某火炮身管有限元模型修正[J].振动与冲击,2012,31(24):54-59.SU Zhong-ting,XU Da,YANG Ming-hua,et al.Finite-element model updating for a gun barrel based on modal test[J].Journal of Vibration and Shock,2012,31(24):54-59.(in Chinese)
[8]吴东亚,邢宏光,崔军.基于虚拟样机技术的某型坦克炮炮身模态分析[J].火力与指挥控制,2011,36(7):65-67.WU Dong-ya,XING Hong-guang,CUI Jun.Modal analysis on a certain tank gun barrel based on virtual prototyping technology[J].Fire Control and Command Control,2011,36(7):65-67.(in Chinese)
[9]龙述尧.无网格方法及其在固体力学中的应用[M].北京:科学出版社,2014:1-9.LONG Shu-yao.Meshless methods and its applications on solid mechanics[M].Beijing:Science Press,2014:1-9.(in Chinese)
[10]杜超凡,章定国,洪嘉振.径向基点插值法在旋转柔性梁动力学中的应用[J].力学学报,2015,47(2):279-288.DU Chao-fan,ZHANG Ding-guo,HONG Jia-zhen.A meshfree method based on radial point interpolation method for the dynamic analysis of rotating flexible beams[J].Chinese Journal of Theoretical and Applied Mechanics,2015,47(2):279-288.(in Chinese)
[11]Dinis L M J S,Jorge R M N,Belinha J.Analysis of 3D solids using the natural neighbour radial point interpolation method[J].Computer Methods in Applied Mechanics&Engineering,2007,196(13/14/15/16):2009-2028.
[12]Feng S Z,Cui X Y,Chen F,et al.An edge/face-based smoothed radial point interpolation method for static analysis of structures[J].Engineering Analysis with Boundary Elements,2016,68:1-10.
[13]Shivanian E.A new spectral meshless radial point interpolation(SMRPI)method:a well-behaved alternative to the meshless weak forms[J].Engineering Analysis with Boundary Elements,2015,54:1-12.
[14]Hajiazizi M,Graili A.A scaled boundary radial point interpolation method for 2D elasticity problems[J].International Journal for Numerical Methods in Engineering,2017,112(7):832-851.
[15]Wang J G,Liu G R.A point interpolation meshless method based on radial basis functions[J].International Journal for Numerical Methods in Engineering,2002,54(11):1623-1648.
[16]Golberg M A,Chen C S,Bowman H.Some recent results and proposals for the use of radial basis functions in the BEM[J].Engineering Analysis with Boundary Elements,1999,23(4):285-296.
[2]Qian L F,Chen G S.The uncertainty propagation analysis of the projectile-barrel coupling problem[J].Defence Technology,2017,13(4):1-5.
[3]刘军,卫丰,苟文选,等.温度场下火炮身管固有频率和振型的三维有限元分析[J].火炮发射与控制学报,2004,25(4):5-7.LIU Jun,WEI Feng,GOU Wen-xuan,et al.3D FEM analysis of natural frequency and mode of gun tube in temperature field[J].Journal of Gun Launch&Control,2004,25(4):5-7.(in Chinese)
[4]王宝元,刘朋科,衡刚,等.自行火炮固有频率特性实验研究[J].兵工学报,2011,32(11):1315-1319.WANG Bao-yuan,LIU Peng-ke,HENG Gang,et al.Experimental research on natural frequency characteristics of self-propelled guns[J].Acta Armamentarii,2011,32(11):1315-1319.(in Chinese)
[5]张海航,狄长安.某型多管火炮的振动模态分析[J].兵工学报,2008,29(12):1514-1517.ZHANG Hai-hang,DI Chang-an.Analysis of vibration modal of a multibarrel cannon[J].Acta Armamentarii,2008,29(12):1514-1517.(in Chinese)
[6]陈光宋,钱林方,吉磊.身管固有频率高效全局灵敏度分析[J].振动与冲击,2015,34(21):31-36.CHEN Guang-song,QIAN Lin-fang,JI Lei.An effective global sensitivity analysis method for natural frequencies of a barrel[J].Journal of Vibration and Shock,2015,34(21):31-36.(in Chinese)
[7]苏忠亭,徐达,杨明华,等.基于模态试验的某火炮身管有限元模型修正[J].振动与冲击,2012,31(24):54-59.SU Zhong-ting,XU Da,YANG Ming-hua,et al.Finite-element model updating for a gun barrel based on modal test[J].Journal of Vibration and Shock,2012,31(24):54-59.(in Chinese)
[8]吴东亚,邢宏光,崔军.基于虚拟样机技术的某型坦克炮炮身模态分析[J].火力与指挥控制,2011,36(7):65-67.WU Dong-ya,XING Hong-guang,CUI Jun.Modal analysis on a certain tank gun barrel based on virtual prototyping technology[J].Fire Control and Command Control,2011,36(7):65-67.(in Chinese)
[9]龙述尧.无网格方法及其在固体力学中的应用[M].北京:科学出版社,2014:1-9.LONG Shu-yao.Meshless methods and its applications on solid mechanics[M].Beijing:Science Press,2014:1-9.(in Chinese)
[10]杜超凡,章定国,洪嘉振.径向基点插值法在旋转柔性梁动力学中的应用[J].力学学报,2015,47(2):279-288.DU Chao-fan,ZHANG Ding-guo,HONG Jia-zhen.A meshfree method based on radial point interpolation method for the dynamic analysis of rotating flexible beams[J].Chinese Journal of Theoretical and Applied Mechanics,2015,47(2):279-288.(in Chinese)
[11]Dinis L M J S,Jorge R M N,Belinha J.Analysis of 3D solids using the natural neighbour radial point interpolation method[J].Computer Methods in Applied Mechanics&Engineering,2007,196(13/14/15/16):2009-2028.
[12]Feng S Z,Cui X Y,Chen F,et al.An edge/face-based smoothed radial point interpolation method for static analysis of structures[J].Engineering Analysis with Boundary Elements,2016,68:1-10.
[13]Shivanian E.A new spectral meshless radial point interpolation(SMRPI)method:a well-behaved alternative to the meshless weak forms[J].Engineering Analysis with Boundary Elements,2015,54:1-12.
[14]Hajiazizi M,Graili A.A scaled boundary radial point interpolation method for 2D elasticity problems[J].International Journal for Numerical Methods in Engineering,2017,112(7):832-851.
[15]Wang J G,Liu G R.A point interpolation meshless method based on radial basis functions[J].International Journal for Numerical Methods in Engineering,2002,54(11):1623-1648.
[16]Golberg M A,Chen C S,Bowman H.Some recent results and proposals for the use of radial basis functions in the BEM[J].Engineering Analysis with Boundary Elements,1999,23(4):285-296.