曲线边界薄板弯曲问题的一种新单元——曲边四边形单元

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

1.
Shanghai University of Technology, Shanghai;
2.
Shanghai Institute of Railway Technology, Shanghai Institute of Appl. Math. Mech., Shanghai

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^[2],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.

Abstract: 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.

[1]	钱伟长.《广义变分原理》,知识出版社(1985).
[2]	Chien Wei-zang,Incompatible plate elements based upon generalized variational principles,Hybrid and Mixed Finite Element Method,Ed.by A.N.Atluri,R.H.Gallagher and O.C.Zienkienwicz(1983),381-404.
[3]	钱伟长、王刚,基于广义变分原理的矩形薄板单元,应用数学和力学,10,11 (1989), 947-954.
[4]	罗裕发,非正交边界薄板弯曲问题的、一种新单元,计算结构力学,2, 3 (1385).