轴向应力波作用下圆柱壳弹性轴对称动力失稳有限元特征值分析

本文运用有限元特征值分析方法对应力波作用下圆柱壳弹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有限元特征方程,在此方程中考虑了应力波效应及横向惯性效应,把圆柱壳弹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弹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。

Finite Element Eigenvalue Analysis for Dynamic Buckling of Cylindrical Shells under Axial Elastic Compression Wave

The finite element numerical method was used to study the dynamic buckling of cylindrical shells under elastic compression wave. The finite element characteristic equations were derived on the basis of adjacent equilibrium criterion. In these equations, the compression wave propagation and the transverse inertia effect were taken into consideration. By the use of 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 shells were calculated from the solutions of finite element characteristic equations.