平面问题分析中的样条综合离散法  

A SPLINE SYNTHETIC DISCRETE METHOD(SSDM)FOR ANALYSIS OF PLANE PROBLEMS

作　　者：杨勇 罗恩[1] 

机构地区：[1]中山大学力学系

出　　处：《数值计算与计算机应用》1991年第4期237-244,共8页Journal on Numerical Methods and Computer Applications

基　　金：中山大学科研基金

摘　　要：一、前言连续体结构分析的综合离散法是蔡承武、罗恩等人首先于1980年提出的,它是近代有限元法与经典Ritz法相结合而产生的一种新方法。其基本思想是:首先将整个结构剖分成有限个单元,并在每个单元内进行分片插值,然后将大量有限元的节点位移用节点位移模式综合起来。因此,它能保留有限元法的主要优点。ln this paper, a spline synthetic discrete method for analysis of plane problems is presented, and two synthetic approaches are given: one-dimensional and two-dimensional spline syntheses. The displacements and stresses of beams, deep beams with various supported conditions, and beams with opening and shear wall under concentrated and uniform load are calculated by means of the method. The numerical results of SSDM exhibit good agreement with those of other methods. The presented method can be used to solve plane problems such as multiply connected region, inhomogeneous medium, irregular boundary problems which are of often met in engineering.

关 键 词：平面问题分析 样条 综合离散法 

分 类 号：O302[理学—力学]