›› 2010, Vol. 31 ›› Issue (2): 656-660.

• Numerical Analysis • Previous Articles     Next Articles

Bending analysis of moderately thick plates on elastic foundation by meshless local radial point interpolation method

XIA Ping 1, 2, LONG Shu-yao1, HU Wei-jun1   

  1. 1. College of Mechanics and Aerospace Engineering, Hunan University, Changsha 410082, China; 2. Department of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan 411101, China
  • Received:2008-01-09 Online:2010-02-10 Published:2010-03-24

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Abstract:

The shape function of the meshless local radial point interpolation method (LRPIM) has the Kronecker delta function properties, and no additional treatment to impose essential boundary conditions. The discretized system equation for moderately thick plates on biparametric elastic foundation is derived using a locally weighted residual method. Bending problems for the raft and moderately thick plates on biparametric elastic foundation with simply supported and clamped boundary conditions are analyzed by the meshless LRPIM. Case studies show that the LRPIM is easy to implement, and very versatile for the bending of the moderately thick plates on biparametric elastic foundation.

Key words: biparametric elastic foundation, moderately thick plate, meshless method, local radial point interpolation method, bending problem

CLC Number: 

  • TU 470.2
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