Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures

ZENG Xiang-yong; DENG An-fu

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Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures

更新时间：2026-06-25

- Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures
- Vol. 27, Issue S2, (2006)
- 作者机构：
  
  重庆大学土木工程学院,重庆,400045
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU470
- Online First：16 December 2006，
  
  Published：2006
- 稿件说明：
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ZENG Xiang-yong, DENG An-fu. Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures[J]. 2006, 27(S2).
DOI：

ZENG Xiang-yong, DENG An-fu. Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures[J]. 2006, 27(S2). DOI：

摘要

无单元法（element free galerkin method）是一种基于滑动最小二乘法构造插值函数的无网格数值方法。以该方法中插值函数及其导函数为基础，从变分原理出发，建立了弹性地基上正交各向异性Mindlin板的无单元法求解控制方程，其中弹性地基采用Winkler地基模型。对该理论方法进行了相应的程序实现，最后通过算例分析表明了提出方法用于水工结构中弹性地基板问题分析的可行性和有效性。

Abstract

Element free Galerkin method (EFGM) is a meshless numerical method by constructing interpolation function with moving least squares (MLS) interpolation. Based on the interpolation function of EFGM and its derivative function

the governing equations of EFGM to deflection solution of elastic orthotropic Mindlin plates bending on Winkler elastic soil foundation are achieved by variation principle. Computation program is designed according to this theory. Numerical results indicate that the above method is feasible and effective to solve the elastic foundation plate problem in hydraulic structures.

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