| 基于径向基点插值函数的弹性力学Hamilton正则方程无网格法 |
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| 引用本文： | 李顶河,卿光辉,徐建新.基于径向基点插值函数的弹性力学Hamilton正则方程无网格法[J].工程力学,2011(10). |
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| 作者姓名： | 李顶河 卿光辉 徐建新 |
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| 作者单位： | 中国民航大学航空工程学院; |
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| 基金项目： | 国家自然科学基金民航联合研究基金项目(60979001); 中国民航大学校内科研基金项目(2011KYE07) |
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| 摘 要： | 结合径向基点插值函数和弹性材料修正后的H-R(Hellinger-Reissner)变分原理,推导了Hamilton正则方程的无网格列式。以Multiquadric(MQ)、Gaussian(EXP)和薄板样条(TPS)为基函数,研究了Hamilton体系下无网格方法的收敛性、精确性以及基函数无量纲形状参数对计算结果的影响规律。该文的工作使得无网格有限元法的优越性与弹性力学Hamilton正则方程的半解析法得到了有机的结合,为Hamilton正则方程提出了一种无网格半解析方法。
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| 关 键 词： | 无网格法 Hamilton正则方程 径向基点插值函数(RPIM) H-R变分原理 高斯积分 |
MESHLESS METHOD OF RADIAL POINT INTERPOLATION FUNCTIONS FOR ELASTICITY HAMILTON CANONICAL EQUATION |
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| LI Ding-he,QING Guang-hui,XU Jian-xin.MESHLESS METHOD OF RADIAL POINT INTERPOLATION FUNCTIONS FOR ELASTICITY HAMILTON CANONICAL EQUATION[J].Engineering Mechanics,2011(10). |
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| Authors: | LI Ding-he QING Guang-hui XU Jian-xin |
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| Affiliation: | LI Ding-he,QING Guang-hui,XU Jian-xin(College of Aeronautical Engineering,Civil Aviation University of China,Tianjin 300300,China) |
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| Abstract: | Meshless formulistic of Hamilton canonical equation was derived by combining the modified Hellinger-Reissner variational principle for elastic material and the radial point interpolation functions in this paper.Based on the shape functions of Multiquadric(MQ),Gaussian(EXP) and thin plane spine(TPS),the maximum displacements in z direction of the single laminated plates were obtained by the meshless formulistic of Hamilton canonical equation.All of the numerical results were compared with those of ANSYS,demo... |
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| Keywords: | meshless method hamilton canonical equation radial point interpolation method(RPIM) H-R varitional principle gauss integral |
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