弹性圆柱壳在轴向冲击载荷和温度耦合作用下的屈曲  

Dynamic buckling of elastic cylindrical shells subjected to an axial impact coupled with thermal loads

作　　者：褚洪杰[1] 徐新生[1] C.W.Lim 马建青[1] 

机构地区：[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,大连116024 [2]香港城市大学建筑系

出　　处：《计算力学学报》2010年第5期759-763,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11072054);香港城市大学基金(7002291);973项目(2009CB724302)资助项目

摘　　要：通过引入哈密顿体系,将临界载荷和临界温度及它们所对应的屈曲模态归结为辛体系下的广义本征值和本征解问题。根据辛本征解的正交性和完备性,给出了全部的且独立存在的屈曲模态。数值结果表明,在轴向冲击载荷和温度耦合作用下,弹性圆柱壳的屈曲呈现出复杂的模式,温度直接影响冲击临界载荷的大小。随着温度的增加,冲击临界荷载降低,最后,文中给出各种条件下的屈曲模态。In this paper,Hamiltonian system is introduced.In the system,the critical impact loads,critical temperatures and their buckling modes of the problem are reduced to the problems of generalized eigenvalues and eigensolutions respectively.Since the symplectic space of eigensolutions is complete and there are adjoint relationships of the symplectic ortho-normalization between the eigensolutions,all buckling modes,which exist independently,are shown.Numerical results show that buckling modes of elastic cylindrical shells are complicated under axial impact coupling with thermal loads.The temperature can change the critical values of the impact load.Namely,critical impact loads decrease with the temperature getting the higher.Some buckling modes are given under various conditions.

关 键 词：哈密顿体系 动态屈曲 圆柱壳 轴向冲击 温度 

分 类 号：O343.9[理学—固体力学]