DSC-element method for free vibration analysis of rectangular Mindlin plates

Y. Xiang, Siu Kai Lai, L. Zhou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

26 Citations (Scopus)

Abstract

A novel DSC-element method is proposed to investigate the free vibration of moderately thick plates based on the well-known Mindlin first-order shear deformation plate theory. The development of the present approach not only employs the concept of finite element method, but also implements the discrete singular convolution (DSC) delta type wavelet kernel for the transverse vibration analysis. This numerical algorithm is allowed dividing the domain of Mindlin plates into a number of small discrete rectangular elements. As compared with the global numerical techniques i.e. the DSC-Ritz method, the flexibility is increased to treat complex boundary constraints. For validation, a series of numerical experiments for different meshes of Mindlin plates with assorted combinations of edge supports, plate thickness and aspect ratios is carried out. The established natural frequencies are directly compared and discussed with those reported by using the finite element and other numerical and analytical methods from the open literature.
Original languageEnglish
Pages (from-to)548-560
Number of pages13
JournalInternational Journal of Mechanical Sciences
Volume52
Issue number4
DOIs
Publication statusPublished - 1 Apr 2010
Externally publishedYes

Keywords

  • DSC-element method
  • Gauss' kernel
  • Rectangular Mindlin plates
  • Vibration

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics

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