摘要
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.
出处
《山东建筑工程学院学报》
2000年第3期1-7,共7页
Journal of Shandong Institute of Architecture and Engineering
基金
国家自然科学基金! (1 9672 0 0 6)
山东省自然科学基金! (Q99A1 2 )
关键词
Parkes悬臂梁问题
有限变形
最小加速度原理
Parkes cantilever problem
finite deformation
minimum principle of acceleration
elastic plastic analysis
