摘要
本文根据修正势能原理,应用结点挠度的协调条件以及各边平均挠度和平均法向转角的广义协调条件导出两个九自由度三角形薄板位移型单元LZ1和LZ2.这两个广义协调元是低阶次高精度单元,能够通过分片检验。从精度、简便性和可靠性全面衡量,它们是两个优质的九自由度三角形薄板单元。
Based on the modified principle of potential energy, two triangular thin plate elements with 9 d. o. f (LZ1, LZ2)are derived by using compatibility conditions for nodal deflection at each node and generalized compatibility conditions for average deflection and average normal slope along each side of the element. These generalized conforming elements are low-order and high-precision elements which can pass the patch test.
基金
北方交通大学科学基金
关键词
薄板
弯曲
有限元
三角形元
thin plate bending, finite element ,generalized conforming element, triangular element
