DISCRETE SINGULAR CONVOLUTION (DSC) FOR FREE VIBRATION ANALYSIS OF CONICAL SHELLS WITH VARIOUS BOUNDARY CONDITIONS

Civalek O.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, vol.4, no.1, pp.81-108, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1142/s0219876207000959
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.81-108
  • Keywords: Discrete singular convolution, boundary conditions, conical shells, vibration, frequencies, GENERALIZED DIFFERENTIAL QUADRATURE, NATURAL FREQUENCIES, RECTANGULAR-PLATES, RITZ METHOD, ALGORITHM
  • Akdeniz University Affiliated: Yes

Abstract

This paper gives a relatively novel computational approach, the discrete singular convolution (DSC) algorithm, for the free vibration analysis of isotropic and orthotropic conical shells with different boundary conditions. The governing differential equations of vibration of the shell are formulated using Love's first approximation classical thin shell theory. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. Typical numerical results are presented illustrating the effect of various geometric and material parameters. The influence of boundary conditions on the frequency characteristics is also discussed. The obtained results are in excellent agreement with those in the literature.