Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR THICK PLATES: BENDING, FREE VIBRATION, AND BUCKLING

  • Kim, Hyunju (Department of Mathematics and Statistics, University of North Carolina at Charlotte) ;
  • Jang, Bongsoo (School of Technology Management, Ulsan National Institute of Science and Technology (UNIST))
  • Received : 2012.12.14
  • Accepted : 2013.02.19
  • Published : 2013.06.25
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Abstract

Reproducing Polynomial Particle Method (RPPM) is one of meshless methods that use meshes minimally or do not use meshes at all. In this paper, the RPPM is employed for free vibration analysis of shear-deformable plates of the first order shear deformation model (FSDT), called Reissner-Mindlin plate. For numerical implementation, we use flat-top partition of unity functions, introduced by Oh et al, and patchwise RPPM in which approximation functions have high order polynomial reproducing property and the Kronecker delta property. Also, we demonstrate that our method is highly effective than other existing results for various aspect ratios and boundary conditions.

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References

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