带旋转自由度拟协调三角形板壳单元

Quasi-conforming triangle plate and shell elements with drilling degree of freedom

将拟协调三角形罚函数板单元和Allman二次膜位移插值模式相结合,通过在膜内增加一个旋转自由度参数,构造出一种新的Mindlin三角形板壳单元. 采用这一单元对板壳结构的线性和几何非线性问题作了分析. 数值计算表明,该单元不仅克服了用板单元拟合壳体分析中的病态,而且使单元在保持弯曲精度的同时大大提高了膜内变形的精度.

Based on Mindlin′s assumption, a new triangle plate/shell element with a drilling degree of freedom is presented. This element combines the quasi-conforming triangle plate element with Allman′s drilling parameter which is interpolated by a 2D membrane displacement interpolation function. A number of numerical exampl es for linear statics, linear stability and geometrical non-linear problem of p late/shell structure are given. The computational results show that this element not only is able to overcome the morbidity during the course of fitting shell s tructure with plate element, but also has good membrane and bending precision.