Winkler地基板的区间无网格Galerkin方法  

Interval element-free Galerkin method for plates on Winkler foundation

作　　者：马丽红[1] 邱志平[1] 王晓军[1] 张建辉[2] 

机构地区：[1]北京航空航天大学固体力学研究所,北京100083 [2]河北大学机械与建筑工程学院,河北保定071002

出　　处：《岩土工程学报》2008年第3期384-389,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家杰出青年科学基金资助项目(10425208);高等学校学科创新引智计划项目(B07009)

摘　　要：研究了具有有界不确定结构参数Winkler地基板的弯曲问题。将无网格Galerkin方法与区间数学相结合,将不确定参数用区间数来描述,给出了估计Winkler地基板弯曲挠度范围的区间无网格Galerkin方法。通过数值算例,表明了本文方法的有效性和可行性。The bending problem of the plates on Winkler foundation with uncertain-but-bounded parameters was studied.Combining the element-free Galerkin method and interval mathematics and describing the uncertain parameters as interval numbers,the interval element-free Galerkin method was developed for estimating the deflection range of the plates on Winkler foundation.The feasibility and efficiency of the proposed method were illustrated by numerical examples.

关 键 词：Winkler地基板 无网格GALERKIN法 区间数学 有界不确定参数 

分 类 号：O343[理学—固体力学]