| 用无网格局部径向点插值法分析非均质中厚板的弯曲问题 |
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| 引用本文： | 夏平,龙述尧,毛文贵.用无网格局部径向点插值法分析非均质中厚板的弯曲问题[J].固体力学学报,2009,30(4). |
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| 作者姓名： | 夏平 龙述尧 毛文贵 |
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| 作者单位： | 1. 湖南工程学院机械工程学院,湘潭,411101
2. 湖南大学力学与航空航天学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金项目，湖南省教育厅科研项目 |
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| 摘 要： | 用无网格局部径向点插值法分析了非均质中厚板的弯曲问题.利用虚位移原理推导了中厚板的离散系统方程.采用径向基函数耦合多项式基函数来近似试函数,用四次样条函数作为加权残值公式中的权函数.所构造成的形函数具有Kronecker delta性质,可以很方便地施加本质边界条件.此方法不需要任何形式的网格划分,所有的积分都在规则形状的子域及其边界上进行,是一种真正的无网格方法.在计算过程中,取积分中的高斯点的材料参数来模拟问题域材料特性的变化.算例结果表明这种无网格方法具有效率高、精度高和易于实现等优点.
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| 关 键 词： | 无网格法 非均质中厚板 局部径向点插值法 径向基函数 弯曲问题 |
A BENDING ANALYSIS OF THE NONHOMOGENEOUS MODERATELY THICK PLATE USING THE MESHLESS LOCAL RADIAL POINT INTERPOLATION METHOD |
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| Ping Xia,Shuyao Long,Wengui Mao.A BENDING ANALYSIS OF THE NONHOMOGENEOUS MODERATELY THICK PLATE USING THE MESHLESS LOCAL RADIAL POINT INTERPOLATION METHOD[J].Acta Mechnica Solida Sinica,2009,30(4). |
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| Authors: | Ping Xia Shuyao Long Wengui Mao |
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| Institution: | 1Department of Mechanical Engineering;Hunan Institute of Engineering;Xiangtan;411101;2College of Mechanics and Aerospace Engineering;Hunan University;Changsha;410082 |
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| Abstract: | A meshless local radial point interpolation method (LRPIM) for the bending analysis of a nonhomogeneous moderately thick plate is presented in this paper.The discretized system equation of the plate is obtained using the principle of virtual work.It uses a radial basis function coupled with a polynomial basis function as a trail function and a quartic spline function as a test function of the weighted residual formula.The shape functions obtained in the trail function have the Kronecker delta function prope... |
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| Keywords: | meshless method nonhomogeneous moderately thick plate local radial point interpolation method radial basis functions bending problem |
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