残值法在弹性地基梁板分析中的应用  

Applications of Weighted Residuals in Analysis of Beams and Plates on Elastic Foundation

作　　者：王杰光[1] 曾德顺[1] 

机构地区：[1]同济大学特种土木工程技术研究所,上海200092

出　　处：《同济大学学报（自然科学版）》2002年第6期680-685,共6页Journal of Tongji University:Natural Science

摘　　要：利用滑动最小二乘法构造近似函数 ,并以此作为加权残值法中的试函数 ;提出了构成该试函数中的基函数和权函数的选取原则 ;分析了形函数的特性 ;对试函数拟合原函数的效果进行了分析 ,进而提出了权函数及相应的影响半径的取值 .采用配点法对Winkler地基和弹性半空间地基上的梁和板进行了数值计算 ,并与理论结果或其它数值方法进行了对比 ,采用总残值进行判断数值结果的准确度 .结果表明 ,该试函数适用于多种边值问题 ,且精度较高 .Use the moving least squares method to determine an approximating function that is used as trial function in the method of Weighted Residuals.The principle that is used in the selection of the basis and weight function is proposed.The performance of the shape function is analyzed.The fitting effects of the trial function are examined,and the weight function and its radius of influence is determined.Beams and plates on Winkler foundation and elastic half space were calculated by collocation method and comparisons with theoretical results were made,which had indicated that this trial function was suited to solving many boundary value problems and also had a high accuracy.

关 键 词：WINKLER地基 弹性半空间地基 加权残值配点法 滑动最小二乘法 插值函数 

分 类 号：TU311.4[建筑科学—结构工程]