摘要
研究在轴向冲击载荷下弹性圆柱壳动态屈曲问题.通过构造哈密顿体系,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.辛本征解反映了局部的压缩屈曲模态和整体的弯曲屈曲模态,特别是在冲击端为自由支承边界时的特殊屈曲方式.数值结果给出了具体的临界载荷和屈曲模态规律.
In this paper,the dynamic buckling of elastic cylindrical shells,which are impacted by axial load on one end,is studied.By introducing Hamiltonian system to the problem,critical loads and buckling modes are reduced to the problems of eigenvalues and eigensolutions,respectively.In the system,symplectic eigensolutions are grouped into two classes：the local compressive buckling and global flexure buckling.Especially,when the impacted boundary is free,buckling modes have special forms.Numerical results show some rules about the curves of critical load and corresponding buckling modes.
出处
《力学学报》
EI
CSCD
北大核心
2010年第4期702-709,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
香港城市大学基金(7002472)
国家重点基础研究发展计划(973)(2009CB724302)
博士学科点基金(20060141008)资助项目~~
关键词
哈密顿体系
圆柱壳
轴向冲击
应力波
hamiltonian system
cylindrical shell
axial impact
stress wave
