Meshless Method with Radial Basis Functions for Hamilton Canonical Equation
Meshless Method with Radial Basis Functions for Hamilton Canonical Equation
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DOI：
10.4028/www.scientific.net/amr.194-196.1407
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发表时间：
2011-02
期刊：
影响因子：
--
通讯作者：
Dinghe Li;Chenyun Dou;Jian Xin Xu
中科院分区：
文献类型：
--
作者：
Dinghe Li;Chenyun Dou;Jian Xin Xu
结合弹性材料修正Hellinger-Reissner变分原理和径向点插值函数，建立了Hamilton正则方程的无网格单元。利用多重二次曲面(MQ)、高斯(EXP)和薄平面脊柱(TPS)，通过单层或交叉叠层板的数值算例研究了无网格方法的收敛性以及无量纲形状参数对最大位移的影响。并将位移w的所有数值结果与MSC的数值结果进行比较。 Nastran将无网格有限元法的优点引入到Hamilton正则方程的半解析解中，提出了一种新的Hamilton正则方程的半解析方法。
Meshless element of Hamilton canonical equation was established in this paper by combining the modified Hellinger-Reissner variational principle for elastic material and radial point interpolation functions. Using Multiquadric (MQ), Gaussian (EXP) and thin plane spine (TPS), the astringency of meshless methods and the effects of the dimensionless shape parameters on the maximum displacement were investigated by the numerical examples of the single or the cross-lay laminated plates. And all of the numerical results of displacement w were compared with that of MSC. Nastran 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.