水平受荷桩的非线性无网格法分析
Nonlinear analysis of meshless method for piles under horizontal load
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摘要: 首先利用移动最小二乘近似得到求解域内的全局近似函数,再采用迦辽金法对控制方程离散,以获得无网格迦辽金方法的基本计算方程,并考虑到基桩承受水平荷载过程中的挠曲变形,探讨了无网格法在大变形问题中的具体实现;最后以湖南益阳茅草街大桥的水平静载荷试验为工程背景,采用本文理论编制考虑非线性大变形的无网格法计算程序对其进行分析。计算结果与现场实测数据吻合良好,验证了该方法的合理性与有效性,并指出桩周土体的强度和软化对基桩水平承载力的影响很大,可供工程参考。Abstract: The whole trial function was found by the moving least square method in solution domain firstly.And the Galerkin method was used to discretize these controlling function equations.Then the basic function equations of the element-free Galerkin method were built.Considering bending of piles under horizontal load,the meshless method based on large deformation was discussed.According to the above theory,a nonlinear programme was made.In order to verify the theory and programme,horizontal loading tests on pile foundation of Maocaojie Bridge in Hunan Province were performed to provide calculation data.The calculated results were in accordance with the measured data in-situ.This method with consideration of large deformation might be applied in numerical simulation of large deformation rationally and effectively.Moreover,the strength and softening of soil surrounding piles might influence the horizontal bearing capacity of pile greatly.These might provide some references to the engineering projects and analysis of meshless method applied in the pile theory.