应用平板壳单元DKQl6分析板壳结构的几何非线性

应用新近开发的四边形十六自由度离Kirchhoff平板壳单元DKQl6，分析了板壳结构的几何非线性问题，采用Total Lagrange格式，在小应交、中等转动的假定下，建立了该单元几何刚度阵和大位移矩阵．非线性方程采用位移引导或弧长引导的牛顿-拉夫森增量迭代法求解．讨论了网格和加载步效对收敛性的影响，通过对典型算例的计算以及与其它单元的比较，说明了DKQl6单元在板壳结构几何非线性分析中也有良好的精度．

On geometrically non-linear analysis of plates and shells using plat shell element DKQ16

A geometrically non linear analysis of plates and she lls is realized using a recently developped quadrilateral,16 degrees of freedom flat shell element (called DKQ16). The effects of large rotation and moderate r otation of shell are discussed. Based on the hypothesis of small strain and mode rate rotation, a geomrtrical stiffness matrix and a large displacemet matrix are constructed for DKQ16 element using Total Lagrange formulation. Newton Raphson method is used to solve the non linear equations piloted in displacements or i n arc length. The influence of meshes and the number of load step on the converg ence is investigated. Comparision of the numerical results for typical problems with other elements shows that the DKQ16 element has a very good precision for t he geometrically non linear problem of plates and shells.