加权残数法通用程序包MWRAP的开发技术与工程应用

The Method of Weighted Residuals Analysis Package MWRAP and Its Application in Engineering

要想使加权残数法广泛应用于工程实际问题,需要解决两方面的问题,一是精度问题,二是必须研制和开发通用软件。本文阐述了加权残数法通用程序包MWRAP的结构设计和功能设置及其前后处理技术,详细阐述了其前后处理程序的程序设计流程;在该软件中计算模块,所用的计算方法为加权残数和有限元耦合法,为此推导了加权残数和有限元耦合法的公式,从计算结果来看该方法具有较高的精度,可以满足工程需要。最后,运用MWRAP计算了钢管混凝土柱肩梁结构的位移和应力,与实验结果相比吻合较好,说明了MWRAP具有较高的精度,加上其完善的前后处理功能,可以应用于工程实际问题。

If we expect that the method of weighted residuals can be used widely in engineering, two problems must be considered. One is the computing precision of the method, and another is to develop the general analysis software in which the method is used. In this paper the structure design, the functions and the pre-and post-processing techniques of the method of weighted residuals analysis package MWRAP are introduced, and the flow diagram of the pre-and post-processing models are analyzed in detail. In the computing model of MWRAP, the coupling of the method of weighted residuals and finite element method is used. The formula of the coupling method are deduced. From the numerical results the coupling method has a high precision, and can be used in engineering. At last the displacements and stresses of the structure of shoulder beam with steel pipes filled with concrete are computed with MWRAP. And comparing with the experimental results, the numerical ones in this paper are well. With a high precision and perfect pre-and post-processing techniques, MWRAP can be used for problems in engineering.