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辛方法和弹性圆柱壳在内外压和轴向冲击下的动态屈曲
引用本文:徐新生,段政,马源,褚洪杰.辛方法和弹性圆柱壳在内外压和轴向冲击下的动态屈曲[J].爆炸与冲击,2007,27(6):509-514.
作者姓名:徐新生  段政  马源  褚洪杰
作者单位:1.大连理工大学工程力学系工业装备结构分析国家重点实验室,辽宁 大连 116024
基金项目:国家自然科学基金项目(10672031),教育部博士学科点基金项目
摘    要:针对有内压或外压的弹性圆柱壳在轴向冲击载荷耦合作用下的动态屈曲问题,构造哈密顿体系,在辛空间中将临界载荷和动态屈曲模态归结为辛本征值和本征解问题,从而形成一种辛方法。该方法直接得到非轴对称的屈曲模态。数值结果给出了圆柱壳问题的临界载荷和屈曲模态以及一些规律。

关 键 词:固体力学    动态屈曲    辛方法    弹性圆柱壳    哈密顿体系    耦合力
文章编号:1001-1455(2007)06-0509-06
修稿时间:2006年6月15日

A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure
XU Xin-sheng,DUAN Zheng,MA Yuan,CHU Hong-jie.A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure[J].Explosion and Shock Waves,2007,27(6):509-514.
Authors:XU Xin-sheng  DUAN Zheng  MA Yuan  CHU Hong-jie
Institution:1.State Key Laboratory of Structure Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, Liaoning, China
Abstract:The dynamic pre-buckling of finite cylindrical shells was discussed under both axial impact and internal or external pressure.A Hamiltonian system was constructed for the fundamental problem of the dynamic buckling,thereby problems of critical loads and buckling modes were reduced to determinations of eigenvalues and eigensolutions in a symplectic space and a symplectic method was proposed.Modes of the non-axisymmetric buckling were obtained by the proposed method.Numerical results show the critical loads,buckling modes and some phenomena for cylindrical shells.
Keywords:solid mechanics  dynamic buckling  symplectic method  elastic cylindrical shell  Hamiltonian system  coupled load
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