Meshless Method with Radial Basis Functions for Hamilton Canonical Equation
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.
Jianmin Zeng, Taosen Li, Shaojian Ma, Zhengyi Jiang and Daoguo Yang
D. H. Li et al., "Meshless Method with Radial Basis Functions for Hamilton Canonical Equation", Advanced Materials Research, Vols. 194-196, pp. 1407-1416, 2011