DSC-Ritz element method for vibration analysis of rectangular Mindlin plates with mixed edge supports

Y. Xiang, Siu Kai Lai, L. Zhou, C. W. Lim

Research output: Journal article publicationJournal articleAcademic researchpeer-review

22 Citations (Scopus)

Abstract

Based on Mindlin's first-order shear deformable plate theory, a DSC-Ritz element method is developed for the free vibration analysis of moderately thick rectangular plates with mixed supporting edges. The rationale of the present approach is not only to apply the discrete singular convolution (DSC) delta type wavelet kernel as a trial function with the Ritz method, but also to incorporate the method in finite elements in order to handle the mixed boundary constraints. The approach is novel and flexible as it passes through a bottleneck of the global DSC-Ritz method in treating the kinematic supporting edges with assorted discontinuities. A series of numerical simulations for rectangular Mindlin plates with various edge support discontinuities, plate thicknesses and aspect ratios are presented. For verification, the vibration frequencies thus established are directly compared with those reported in the open literature. New sets of numerical results for several other cases of moderately thick plates with mixed simply supported, clamped and free edges are presented and discussed in detail.
Original languageEnglish
Pages (from-to)619-628
Number of pages10
JournalEuropean Journal of Mechanics, A/Solids
Volume29
Issue number4
DOIs
Publication statusPublished - 1 Jul 2010
Externally publishedYes

Keywords

  • DSC-Ritz element method
  • Gauss' kernel
  • Mixed edge supports
  • Rectangular Mindlin plates

ASJC Scopus subject areas

  • Materials Science(all)
  • Mathematical Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

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