加权残数法中试函数选择问题的探讨

On THE SELECTION OF TRIAL FUNCTIONS IN THE METHOD OF WEIGHTED RESIDUALS

本文应用泛函分析和复变函数逼近论的方法初步探讨了加权残数法中试函数选择的原则,并对完备性进行了较深入的讨论.在此基础上,针对组合结构问题,提出了“基因子”概念,并推演出了一些“基因子”及其试函数的一般组构形式.最后,以四边固支矩形加筋板为例,进行了比较计算,取得了积极的效果.

The principles of selecting trial functions in method of weighted residuals (MWR) are discussed by the method of functional analysis and the approximation theory of complex function in this paper. In addition, a detailed discussion is made on completeness. On this basis the concept of 'basic factor' is proposed for the question of combinatoriat structures and some basic factors and general combinatorial types of trial functions are deduced, Finally a rectangular stiffened plate is taken as an example for comparative calculation and good results have been obtained.