Free vibration and bending analysis of circular Mindlin plates using singular convolution method

Civalek O., ERSOY H.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, vol.25, no.8, pp.907-922, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 8
  • Publication Date: 2009
  • Doi Number: 10.1002/cnm.1138
  • Journal Name: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.907-922
  • Keywords: discrete singular convolution, circular plate, Mindlin plate theory, free vibration, bending, GENERALIZED DIFFERENTIAL QUADRATURE, NATURAL FREQUENCIES, RECTANGULAR-PLATES, INTERNAL SUPPORTS, ANNULAR PLATES, 3-DIMENSIONAL VIBRATION, ORTHOGONAL POLYNOMIALS, ELASTICITY SOLUTIONS, FLEXURAL VIBRATION, STRESS-RESULTANTS
  • Akdeniz University Affiliated: Yes

Abstract

Circular plates are important structural elements in modern engineering structures. In this paper a computationally efficient and accurate numerical model is presented for the study of free vibration and bending behavior of thick circular plates based on Mindlin plate theory. The approach developed is based on the discrete singular convolution method and the use of regularized Shannon's delta kernel. Frequency parameters, deflections and bending moments are obtained for different geometric parameters of the circular plate. Comparisons are made with existing numerical and analytical Solutions in the literature. It is found that the DSC method yields accurate results for the free vibration and bending problems of thick circular plates. Copyright (C) 2008 John Wiley & Sons, Ltd.