| 弹性地基上水工结构各向异性Mindlin底板计算分析的无单元法（EFGM） |
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| 引用本文： | 曾祥勇,邓安福. 弹性地基上水工结构各向异性Mindlin底板计算分析的无单元法（EFGM）[J]. 岩土力学, 2006, 27(Z2): 96-100 |
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| 作者姓名： | 曾祥勇 邓安福 |
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| 作者单位： | 重庆大学 土木工程学院，重庆 400045 |
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| 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。
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| 关 键 词： | 水工结构 正交各向异性Mindlin板弯曲 无单元迦辽金法 Winkler弹性地基 无网格法 |
| 收稿时间： | 2006-07-01 |
Element-free Galerkin method for computation of orthotropic Mindlin plate bending on elastic foundation in hydraulic structures |
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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]. Rock and Soil Mechanics, 2006, 27(Z2): 96-100 |
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| Authors: | ZENG Xiang-yong DENG An-fu |
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| Affiliation: | College of Civil Engineering, Chongqing University, Chongqing 400045，China |
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| 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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| Keywords: | hydraulic structure orthotropic Mindlin plate bending element free galerkin method Winkler elastic soil foundation meshless method |
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