摘要
本文给出板问题混合变量方程的一种半离散半解析方法——混合变量等参 Hamillonian 元。该方法沿板厚方向未作任何有关位移和应力的人为假设,而是采用控制论中方法给出真解,所以可以求解任意厚度板问题。
A semi-analytical method of mixed Hamiltonian element has been derived in this paper.By giv-ing up the hypothesis of displacements and stresses along the direction of the thickness of the plate,theexact solution has been derived by the use of the Control Theory.this newly suggested method can beapplied to Calculate both the thin plates and thick plates.
出处
《上海力学》
CSCD
1993年第4期16-25,共10页
Chinese Quarterly Mechanics
基金
国家自然科学基金
关键词
板
材料力学
变分原理
半解析法
Moduled hellinger—Reissner variational principle
Mixed variable Hamiltonian element
Semi—analytical method
Plate problem
