Parkes悬臂梁问题——基于最小加速度原理的有限变形弹塑性分析

Parkes cantilever beam problem ——Elastic-plastic analysis based on the minimum principle of acceleration

以Lee的有限变形弹塑性连续体的最小加速度原理为基础 ,利用变分有限差分法 ,对Parkes悬臂梁问题进行了弹塑性数值分析 ,通过对响应过程中弯矩图变化规律的详细考察 ,清晰地阐明了梁的变形响应模式和Parkes刚塑性解的合理性 ;同时 ,也揭示了弹性效应对于早期响应的重要作用。其结果与有限元精确解的一致性表明文中方法是可靠的。

In this paper, Parkes cantilever beam problems are analyzed by the elastic plastic numerical method based on the minimum principle of acceleration and finite difference method. The deformation models of the beam and rationality of the rigid plastic solution are clarified clear from seeing about the bending moment distributions at various times, and some important roles of the elastic effects in the early response course are unveiled. The coherence between the computing results with the finite element solution shows the method in the paper is reliable.