一个厚薄板通用的三角形板弯元

本文提出了一个新的厚薄板通用的三角形板弯元,根据Hellinger-Reissner变分原理推导出来的新单元具有独立的转角、位移、剪应变和弯曲应变的插入函数,它没有其它混合元所存在的一些缺点。一些典型例子表明这个新单元具有很好的特性,刚度矩阵简单,计算精度高,收敛速度快以及厚薄板通用性强。

A THICK-THIN TRIANGULAR PLATE ELEMENT

A new thick-thin triangular plate element is presented. The element emanating from the Hellinger-Reissner variational principle has independent interpolation for slope, displacement, shear strain and bending strain. It is shown that it does not suffer from any defect common to other Mindlin plate elements. Several examples are presented to illustrate the behaviour of this new element. It is pointed out that this element is also considered as the element using the reduced integration for shear energy (i.e. 1 point integration)