摘要
本文给出了拟协调任意四边形薄板弯曲单元QCQ单元,该单元通过常应变分片试验,近似通过线性应变分片试验,退化成矩形时,通过线性分片试验。单元刚度矩阵计算简单,不需要作数值积分。算例表明,QCQ单元精度高,收敛快,本文讨论了拟协调元的载荷项,提出了拟一致载荷的概念。
An effective arbitrary quadrilateral thin plate bending element with quasi-conforming, QCQ element, is presented in this paper. The elements pass the patch test with constant strain and the patch test with linear strains approximately. When the element degenerates to a rectangle the patch test with linear strains is passed. The calculation of element stiffness matrix is simple without numerical integration. The numerical examples show QCQ element has higher accuracy and faster convergence rate.
基金
国家自然科学基金
