Vibration analysis of conical panels using the method of discrete singular convolution

Civalek O.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, vol.24, no.3, pp.169-181, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.1002/cnm.961
  • Journal Name: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.169-181
  • Keywords: discrete singular convolution, frequencies, conical panel, free vibration, GENERALIZED DIFFERENTIAL QUADRATURE, CURVED SHALLOW SHELLS, DSC-RITZ METHOD, BOUNDARY-CONDITIONS, RECTANGULAR-PLATES, INTERNAL SUPPORTS, 3-DIMENSIONAL VIBRATION, NATURAL FREQUENCIES, CYLINDRICAL PANELS, ALGORITHM
  • Akdeniz University Affiliated: Yes

Abstract

A discrete singular convolution (DSC) free vibration analysis of conical panels is presented. Regularized Shannon's delta kernel (RSK) is selected as singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. Effects of boundary conditions, vertex and subtended angle on the frequencies of conical panel are investigated. The effect of the circumferential node number on the vibrational behaviour of the panel is also analysed. The obtained results are compared with those of other numerical methods. Numerical results indicate that the DSC is a simple and reliable method for vibration analysis of conical panels. Copyright (C) 2006 John Wiley & Sons, Ltd.