Paper Title:
Meshless Method with Radial Basis Functions for Hamilton Canonical Equation
  Abstract

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.

  Info
Periodical
Advanced Materials Research (Volumes 194-196)
Edited by
Jianmin Zeng, Taosen Li, Shaojian Ma, Zhengyi Jiang and Daoguo Yang
Pages
1407-1416
DOI
10.4028/www.scientific.net/AMR.194-196.1407
Citation
D. H. Li, C. Dou, J. X. Xu, "Meshless Method with Radial Basis Functions for Hamilton Canonical Equation", Advanced Materials Research, Vols. 194-196, pp. 1407-1416, 2011
Online since
February 2011
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