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用恒等式法构造单元的形函数
引用本文:尹一平,刘健.用恒等式法构造单元的形函数[J].山西建筑,2007,33(29):19-20.
作者姓名:尹一平  刘健
作者单位:1. 华中科技大学土木工程与力学学院,湖北,武汉,430074
2. 化工部湘东化工机械厂房产处,湖南,株洲,412100
摘    要:介绍了用恒等式法构造单元的形函数,阐述了两种求解形函数的方法,总结了待定系数法和形函数性质法的优缺点,并通过两个具体实例说明了这两种方法的应用,指出用恒等式法求解形函数可以较好地控制目标函数。

关 键 词:形函数  恒等式  有限元法
文章编号:1009-6825(2007)29-0019-02
修稿时间:2007-04-25

Utilizing identical equation method to construct unit's shape function
YIN Yi-ping,LIU Jian.Utilizing identical equation method to construct unit''''s shape function[J].Shanxi Architecture,2007,33(29):19-20.
Authors:YIN Yi-ping  LIU Jian
Affiliation:YIN Yi-ping LIU Jian
Abstract:In this paper the method utilizing identical equation method to construct unit's shape function is introduced.Two methods to find solution of shape function are elaborated,which are method of undetermined coefficients and shape function method.Advantages and disadvantages of those two methods are comparatively summarized.Combined with examples the applications of those two methods are introduced.In the end author points out that objective function is well controlled utilizing identical equation method to find solutions of shape function.
Keywords:shape function  identical equation  finite-element method
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