力学与实践 ›› 2013, Vol. 35 ›› Issue (1): 41-45.DOI: 10.6052/1000-0879-12-344

• 应用研究 • 上一篇    下一篇

层合板问题几种求解方法的比较

朱炳麒, 汤培俊, 陈学宏   

  1. 河海大学机电工程学院,江苏常州 213000
  • 收稿日期:2012-09-14 修回日期:2012-12-12 出版日期:2013-02-08 发布日期:2013-02-07
  • 通讯作者: 汤培俊

THE COMPARISON OF SEVERAL METHODS FOR THE LAYERED PLATE PROBLEM

ZHU Bingqi, TANG Peijun, CHEN Xuehong   

  1. College of Mechanical & Electrical Engineering,Hohai University,Jiangsu, Changzhou 213000,China
  • Received:2012-09-14 Revised:2012-12-12 Online:2013-02-08 Published:2013-02-07

摘要: 为比较Lagrange 体系和Hamilton 体系的有限元法在求解层合板问题时的优劣,以寻求此类问题较合适的数值方法,本文在已有研究的基础上,将几种有限元法应用到层合板问题的计算中,编程并对相关算例进行计算和分析. 数值结果表明:Hamilton 体系常规有限元和改进有限元,Lagrange 体系理性有限元在计算此类问题时各有其优势,而Lagrange 体系常规有限元在求解此类问题时的精度较差.

关键词: 层合板|弹性力学|Lagrange 体系|Hamilton 体系|有限元法

Abstract: In order to compare the merits and demerits of the finite element methods in the Lagrange system and the Hamilton system for the problem of layered plates and to choose appropriate numerical methods, several finite element methods are applied for the layered plates. With the use of MATLAB, an example is calculated and analyzed. Numerical results show that the conventional FEM (finite element method) and the improved FEM in the Hamilton System and the rational FEM in the Lagrange system all have their advantages, while the accuracy of the conventional FEM in the Lagrange system is poor.

Key words: layered plates|elasticity|Lagrange system|Hamilton system|finite element method

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