摘要
本文基于修正势能泛函,引入广义协调的概念,导出了一种具有12个自由度的薄板弯曲四边形位移单元LGC—Q12,这种单元协调性好,列式简单,计算精度高。并且能近似地通过分片检验。
In this paper, based on the modified potential energy functional and by introducing the generalized conforming conditions, a quadrilateral displacement element for thin plate with 12 degrees of freedom, LGC-Q12, is developed. By use of this element with good compatibility and simple formulations we can obtain higher accurate solution and can pass the patch test approximately if the element shapes are protruding quadrilaterals.
出处
《力学学报》
EI
CSCD
北大核心
1991年第1期53-60,共8页
Chinese Journal of Theoretical and Applied Mechanics
关键词
薄板
弯曲
修正势能原理
广义协调
modified potential energy principle, generalized compatibility, finite ele-ment