轴向应力波作用下圆柱壳塑性轴对称动力屈曲  

Axisymmetric dynamic plastic buckling of cylindrical shells under axial compression waves

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,湖北武汉430033

出　　处：《爆炸与冲击》2008年第3期271-275,共5页Explosion and Shock Waves

基　　金：国家自然科学基金项目(10272114)

摘　　要：运用有限元特征值分析方法对应力波作用下圆柱壳塑性轴对称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圆柱壳轴对称动力失稳时的特征方程,在分析中同时考虑了应力波效应及横向惯性效应,把圆柱壳塑性动力失稳问题归结为特征值问题。通过引入圆柱壳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。计算结果揭示了圆柱壳塑性轴对称动力屈曲变形发展的机理,以及轴向应力波和屈曲变形的相互作用规律。The finite element numerical method is used to study dynamic buckling of cylindrical shells under elastic compression waves. The finite element characteristic equations are derived on the basis of the adjacent-equilibrium criterion and the stress wave theory. In these equations, the compression wave propagation and the transverse inertia effect are taken into consideration. By introducing the dynamic buckling supplementary restraint conditions at the compression wave front of cylindrical shells at the instant when the buckling occurs, the critical-load and dynamic buckling modes of the shells are calculated from the solutions of the finite element characteristic equations. Calculated results provide some insight into the buckling mechanism as a transient process and the influences of the axial stress waves on the buckling deformation.

关 键 词：固体力学 动力屈曲 有限元 圆柱壳 应力波 塑性 

分 类 号：O344.7[理学—固体力学] TU375[理学—力学]