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力学与实践 ›› 2009, Vol. 31 ›› Issue (2): 84-86.doi: 10.6052/1000-0879-2008-286

• 教育研究 • 上一篇    下一篇

利用计算机辅助求解弹性力学问题的一种新方法

蒋玉川 邓德君 徐双武   

  1. 四川大学建环学院
  • 收稿日期:2008-05-21 修回日期:2008-07-29 出版日期:2009-04-08 发布日期:2009-04-08

A new method of solving problems of elasticity with the help of calculator

  • Received:2008-05-21 Revised:2008-07-29 Online:2009-04-08 Published:2009-04-08

摘要: 采用Matlab编程与多项式应力函数相结合的方式直接求解弹性力学平面问题. 该方法 一方面使选择应力函数具有非常强的规律性,另一方面简化了确定待定常数的过程. 该方法 改进了用传统的逆解法、半逆解法选择应力函数,需要经过多次尝试、不断修改,才能得到 满意结果的缺点. 同时指出了在一些情况下弹性力学平面问题是不具有多项式的解答.

关键词: 弹性力学,直接解法,多项式, 应力函数,Matlab

Abstract: A direct method of using polynomial terms as stress function and combining with Matlab program design is introduced for solving problems of elasticity. First the present method has very strong rule for choice stress function, on the other hand, it simplifies the process of determining unknown coefficients. The method improves disadvantages of traditional inverse method or semi-inverse method that is necessary that choice stress function through repeated tasting and modifies for obtaining satisfactory results. Meanwhile we denote that some problems doesn't possess polynomial solution. The present approach is successful conjunction example of between modern computer technology and traditional elasticity analytical method. It pump new activity into elasticity analytical method.

Key words: elasticity, direct method, polynomial, stress function, Matlab