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力学与实践 ›› 2000, Vol. 22 ›› Issue (3): 0-0.doi: 10.6052/1000-0879-f2000-068

• 论文 •    

无单元法分析弹性地基板

张伟星 庞辉   

  1. 青岛市抚顺路11号 青岛理工大学校长办公室
  • 收稿日期:2008-01-15 修回日期:1900-01-01 出版日期:2000-06-10 发布日期:2000-06-10

ANALYSIS OF PLATES ON THE ELASTIC FOUNDATION BY THE ELEMENT-FREE METHOD

  • Received:2008-01-15 Revised:1900-01-01 Online:2000-06-10 Published:2000-06-10

摘要: 弹性地基板的计算是学者和工程师们十分关切的问题.本文提出了分析Winkler地基、双参数地基和半空间弹性地基板弯曲问题的无单元法,推导了无单元法的插值函数,从变分原理出发导出弹性地基板的刚度矩阵,给出计算实例,与其它方法的结果进行比较.数值结果表明无单元法具有一系列优点.

Abstract: The plates on the elastic foundation havealways been an interesting problem for scientist andengineers. The element-free method for plates onWinkler, two-parameter and elastic half space foun-dation is presellted in this paper. The shape func-tion of element-free method is introduced. The stiffness matrices of plates on elastic foundation are de-rived using variational principle. Numerical exam-ples are given and compared with other methods.It shows that this method enjoys a number advan-tages.