全部

力学与实践 ›› 2004, Vol. 26 ›› Issue (2): 0-0.doi: 10.6052/1000-0992-2002-428

• 应用研究 •    

无单元法在薄板稳定问题中的应用

孟春光 张伟星   

  1. 上海市四平路1239号同济大学结构工程与防灾研究所(博). 青岛市抚顺路11号 青岛理工大学校长办公室
  • 收稿日期:2002-12-13 修回日期:2003-07-04 出版日期:2004-04-10 发布日期:2004-04-10

ELEMENT-FREE METHOD FOR THIN PLATES STABILITY ANALYSIS

  • Received:2002-12-13 Revised:2003-07-04 Online:2004-04-10 Published:2004-04-10

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.

关键词: 无单元法, 薄板, 稳定性, 滑动最小二乘法, 变分原理

Abstract: 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.

Key words: element-free method, stability, thin plates, moving