Free vibration analysis of composite conical shells using the discrete singular convolution algorithm


Civalek O.

STEEL AND COMPOSITE STRUCTURES, vol.6, no.4, pp.353-366, 2006 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 6 Issue: 4
  • Publication Date: 2006
  • Doi Number: 10.12989/scs.2006.6.4.353
  • Journal Name: STEEL AND COMPOSITE STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.353-366
  • Keywords: composite conical shells, free vibration, discrete singular convolution, GENERALIZED DIFFERENTIAL QUADRATURE, DSC-RITZ METHOD, FREQUENCY-ANALYSIS, NATURAL FREQUENCIES, BOUNDARY-CONDITIONS, VARIABLE THICKNESS, RECTANGULAR-PLATES, INTERNAL SUPPORTS, SHALLOW SHELLS, EQUATION
  • Akdeniz University Affiliated: Yes

Abstract

The discrete singular convolution (DSC) algorithm for determining the frequencies of the free vibration of single isotropic and orthotropic laminated conical shells is developed by using a numerical solution of the governing differential equations of motion based on Love's first approximation thin shell theory. By applying the discrete singular convolution method, the free vibration equations of motion of the composite laminated conical shell are transformed to a set of algebraic equations. Convergence and comparison studies are carried out to check the validity and accuracy of the DSC method. The obtained results are in excellent agreement with those in the literature.