分区函数法在加权残数法中的应用
Application of Subregion Function Method in the Method of Weighted Residuals
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摘要: 本文提出了一个分区函数法的概念.即根据边界形状或刚度、荷载的变化,将原受力体分成若干个分区.在每个分区中设定不同的试函数,并在各分区的交界上考虑了连续协调条件.这样共建立了内部平衡、外部边界和交线协调三种残数方程.文中给出了公式和例题.Abstract: In this paper, a new concept of subregion function method is suggested. According to the boundary shape and the stiffness and loading conditions of the structure, the original zone of the structure is divided into some subregions, in each of which different trial functions may be adopted. Conditions of compatibilities between subregioni are considered. Finally residual equations consisted of interior residuals, boundary residuals and co-boundary residuals between subregions are given.A numerical example to illustrate the theory of this method is given.
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[1] 徐次达,加权残数法解固体力学问题,力学与实践.4(1980). [2] 徐次达,加权残数法在固体力学中的应用—我国近年来进展情况,应用数学和力学,3,(1982),737-742. [3] 大连工学院工程力学研究所,多单元结构分析程序DDJ理论分析与程序实现(1982).
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