弹性地基梁问题的无网格伽辽金分析  

Analysis of Beam on Elastic Foundation by Meshless Element Free Galerkin Method

作　　者：李晓双[1] 赵慧明[1] 杨敏[1] 

机构地区：[1]中国矿业大学力学和建筑工程学院,江苏徐州221008

出　　处：《河南科技大学学报（自然科学版）》2012年第3期36-38,41,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(50774081)

摘　　要：移动最小二乘近似具有计算稳定,全局相容,求解精度高的特性。采用最小势能原理推导了Winkler地基梁的无网格伽辽金离散系统方程,使用Lagerange乘子法对离散系统方程施加本质边界条件。算例表明:使用无网格伽辽金法处理弹性地基梁问题,具有精度高和易于实现的优点。The shape function of the moving least-square (MLS) approximants is stability and continuity on global domain,and the solution has the characteristics of high precision.The discretized system equation for beam on Winkler elastic foundation was derived by using the minimum potential energy principle.The essential boundary condition was employed by Lagrange multipliers.Example shows that the element free Galerkin is easy to implement,and very versatile for the analysis of beam on Winkler elastic foundation.

关 键 词：WINKLER地基 无网格伽辽金法 移动最小二乘近似 梁 拉格朗日乘子 

分 类 号：TU470[建筑科学—结构工程]