薄板弯曲问题分析的样条有限点法  

Spline finite point method for bending analysis of thin slab

作　　者：王涛[1] 王继兵[1] 张庆章[1] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《广西工学院学报》2006年第1期70-73,共4页Journal of Guangxi University of Technology

摘　　要：介绍薄板弯曲问题的样条有限点法。首先用位移参数法构造了样条基函数,在此基础将薄板进行单样条离散,建立了薄板的样条离散化总势能泛函,利用最小势能原理,最终得到薄板的挠度及弯矩。根据上述算法并结合MATLAB语言的矩阵运算优势,编制了样条有限点法的MATLAB程序。通过典型算例分析,结果表明此方法计算简便,精度高,经济有效。The spline finite point method for bending analysis of thin slab is introduced in the paper. First, the spline primary function is given by displacement parameter method; then the thin slab is dispersed by the single --spline function, the spline dispersing total potential energy functional; the deflection and moment of the thin slab are reached by Principle of Minimum Potential Energy. Basing on the above theory and the advanced matrices operation of MATLAB program, a MATLAB program of the spline finite point method is compiled. The realization of the spline finite point method in MATLAB is obtained. The results show that it is a powerful and economical method with simply algorithm and high precision.

关 键 词：样条有限点法 位移基函数 程序设计 MATLAB 

分 类 号：TU311.41[建筑科学—结构工程]