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等价变分原理泛函之间的联系
引用本文:胡海昌.等价变分原理泛函之间的联系[J].固体力学学报,1992,13(2):148-153.
作者姓名:胡海昌
作者单位:空间飞行器总体设计部 北京
摘    要:本文证明了等价变分原理的泛函,实质上都只相差某种加权残差项,这也就表明了,在已知的泛函后附加加权残差项,是建立等价变分原理最简便的方法.

关 键 词:变分原理  弹性力学  变分原理  泛函

ON THE CONNECTION BETWEEN THE FUNCTIONALS OF EQUIVALENT VARIATIONAL PRINCIPLES
Hu Haichang.ON THE CONNECTION BETWEEN THE FUNCTIONALS OF EQUIVALENT VARIATIONAL PRINCIPLES[J].Acta Mechnica Solida Sinica,1992,13(2):148-153.
Authors:Hu Haichang
Abstract:It is proved in this paper that the functionals of equivalent variational principles are different essen-tially only by terms of weighted residuals.Consequently,the simplest method to construct equivalentvariational principles is to add weighted residuals to known functionals as first used by Courant.
Keywords:variational principle  theory of elasticity
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