带旋转自由度的四边形平板壳单元

A Quadrilateral Flat Shell Element with Rotational Degrees of Freedom

基于Kirchhoff假设,运用广义协调技术,将线位移和转角位移相互独立的位移场引入面内旋转自由度,构造出任意四边形4节点24自由度的平板壳单元;运用U.L.列式,建立了该单元的切线刚度矩阵.算例表明,该单元在板壳结构几何非线性分析中具有良好的精度,且能很好地解决梁单元和板壳单元的连接过渡问题.

Based on Kirchhoff assumptions and generalized conforming theory, a new 4-node and 24-degree quadrilateral flat shell element is presented with vertical rotational freedoms of degree, and mutually independent translation displacements and rotational displacements. Furthermore, the tangent stiffness matrix is constructed for the element on the basis of the Update Lagrange formulation. The numerical examples show that the present element performs well for linear and nonlinear bending, which resulting in easy transition between beam element and shell element.