无单元法在薄板稳定问题中的应用  

ELEMENT-FREE METHOD FOR THIN PLATES STABILITY ANALYSIS

作　　者：孟春光[1] 张伟星[2] 

机构地区：[1]同济大学结构工程与防灾研究所,上海200433 [2]青岛建筑工程学院教务处,青岛266033

出　　处：《力学与实践》2004年第2期51-54,共4页Mechanics in Engineering

摘　　要：用无单元法研究了薄板的弹性稳定问题,从滑动最小二乘法和变分原理出发导出了薄板的无单元法几何刚度矩阵,编制了相应的计算程序,并给出了算例.结果表明,方法合理可行,且精度高于有限元.In this paper, the Element-free method (EFM) is used to study the stability of a thin plate. The corresponding geometric stiffness matrix is derived using the moving least-square method and variational principle. Numerical results show that the method posseses a higher accuracy as compared with the finite element method for stability analysis of thin plates.

关 键 词：无单元法 薄板 稳定性 滑动最小二乘法 变分原理 

分 类 号：O343[理学—固体力学]