曲线边界薄板弯曲问题的一种新单元——曲边四边形单元  

A New Element for Thin Plate of Bending with Curvilinear Boundary——Curvilinear Boundary Quadrilateral Element

作　　者：钱伟长[1] 王刚[1] 

机构地区：[1]上海工业大学

出　　处：《应用数学和力学》1990年第4期295-300,共6页Applied Mathematics and Mechanics

摘　　要：本文提出了曲边四边形薄板弯曲单元解决曲线边界薄板的弯曲问题.文中给出了二维坐标的变换关系,由于引进了基于广义变分原理的附加刚度,使计算精度更高,计算机时相对缩短.通过算例,说明这种单元计算精度是相当高的。This paper presents a curvilinear boundary quadrilateral element for the problem of thin plate of bending with curvilinear boundary. A coordinate transformation of two dimensions is performed in the calculation of FEM. The introduction of an additional stiffness matrix based on the generalized variational principles results in high accuracy and less computation time. The numerical results agree with the analytical solution very well.

关 键 词：曲边四边形 四边形单元 薄板 弯曲 

分 类 号：O242.21[理学—计算数学]