Meshless method of radial point interpolation functions for elasticity Hamilton canonical equation

被引：0
|
作者：
Li, Ding-He [1 ]
Qing, Guang-Hui [1 ]
Xu, Jian-Xin [1 ]
机构：
[1] College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China
来源：
Gongcheng Lixue/Engineering Mechanics | 2011年 / 28卷 / 10期
关键词：
Laminating - Interpolation - Convergence of numerical methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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, demonstrating that the meshless formulistic of Hamilton canonical equation is reliable. As an application of the present method, the convergence of this meshless formulistic and the effects of the dimensionless shape parameters on the maximum displacement were investigated through numerical examples of single laminated plates clamp supported on four sides. This study introduced the advantages of meshless finite element method into semi-analytic solution of Hamilton canonical equation, and a new semi-analytic method was presented for Hamilton canonical equation.
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页码：46 / 51
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