| Winkler地基上圆形厚板计算的无单元伽辽金法 |
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| 引用本文： | 曾祥勇,吴小伟,刘晓博.Winkler地基上圆形厚板计算的无单元伽辽金法[J].工业建筑,2012,42(2):78-81,86. |
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| 作者姓名： | 曾祥勇 吴小伟 刘晓博 |
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| 作者单位： | 重庆大学土木工程学院,重庆400045／山地城镇建设与新技术教育部重点实验室重庆大学,重庆400030 |
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| 基金项目： | 中央高校基本科研业务费专项资金项目 |
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| 摘 要： | 无单元伽辽金法(Element Free Galerkin Methods,EFGM)是一种典型的无网格分析方法,理论上具有创新性并具备了完整的结构。该方法根据最小二乘插值方法,得出无单元伽辽金法场函数的近似方案,基于Mindlin中厚板理论,建立Winkler地基上圆形厚板弯曲挠度的EFGM法求解控制方程,并据此编制相应的计算程序,算例分析表明该方法有效可行,为工程实践中圆板的弯曲问题提供了一种新型有效的计算方法。
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| 关 键 词： | 计算方法 无单元法 无网格法 圆板 Mindlin板 Winkler地基 |
ELEMENT-FREE GALERKIN METHOD FOR NUMERICAL ANALYSIS OF CIRCULAR MINDLIN PLATE BENDING ON A WINKLER FOUNDATION |
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| Zeng Xiangyong,Wu Xiaowei,Liu Xiaobo.ELEMENT-FREE GALERKIN METHOD FOR NUMERICAL ANALYSIS OF CIRCULAR MINDLIN PLATE BENDING ON A WINKLER FOUNDATION[J].Industrial Construction,2012,42(2):78-81,86. |
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| Authors: | Zeng Xiangyong Wu Xiaowei Liu Xiaobo |
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| Affiliation: | 1,2(1.College of Civil Engineering,Chongqing University,Chongqing 400045,China;2.Key Laboratory of New Technology for Construction of Cities in Mountain Area(Chongqing University),Ministry of Education,Chongqing 400030,China) |
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| Abstract: | The Element-Free Galerkin Method(EFGM) is a typical kind of meshless method,it has innovation theory and complete structure.Constructing interpolation function by using the moving least-squares technique,it was obtained a approximate scheme of field function.Based on the Mindlin plate theory,the governing equations of EFGM to deflection solution of circular mindlin plate bending on Winkler elastic soil foundation were established.Numerical results indicated that the above method and the corresponding program were effective and accurate.The work of this paper provided a new effective method for the bending of circular plate in practice. |
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| Keywords: | computational method Element-Free Galerkin Method meshless method circular plate mindlin plate Winkler foundation |
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