弹性压应力波下直杆分叉动力失稳特征值有限元分析  

FINITE ELEMENT CHARACTER-VALUE ANALYSIS FOR DYNAMIC BUCKLING OF BARS UNDER ELASTIC COMPRESSION WAVE

作　　者：郑波[1] 王安稳[1] 

机构地区：[1]海军工程大学理学院力学系,武汉430033

出　　处：《工程力学》2006年第12期36-40,共5页Engineering Mechanics

基　　金：国家自然科学基金资助项目(10272114)

摘　　要：运用有限元特征值分析方法对弹性压应力波作用下直杆分叉动力失稳问题进行了研究。基于应力波理论和相邻平衡准则导出了直杆动力失稳时的有限元特征方程,把弹性直杆的动力失稳问题归结为特征值问题。通过引入直杆动力失稳时的波前约束条件实现了此类问题的有限元特征值解法。The finite element character-value method is used to study the dynamic buckling of bars under elastic compression wave. The finite element characteristic equations are derived based on the adjacent-equilibrium criterion. In these equations, the compression wave propagation and the transverse inertia effect are taken into consideration. By using the dynamic buckling supplementary restraint conditions at the compression wave front of bars at the instant of buckling, the critical-load and dynamic buckling modes of bars are calculated from the solutions of the finite element characteristic equations.

关 键 词：力学 新方法 有限元 动力屈曲 应力波 弹性杆 

分 类 号：O343.9[理学—固体力学]