Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach

Authors:
Ömer Civalek
Affiliations:
Akdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics, 07200, Topcular, Antalya, Turkiye
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

A numerical study on the free vibration analysis for laminated conical and cylindrical shell is presented. The analysis is carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method. Numerical results in free vibrations of laminated conical and cylindrical shells are presented graphically for different geometric and material parameters. Free vibrations of isotropic cylindrical shells and annular plates are treated as special cases. The effects of circumferential wave number, number of layers on frequencies characteristics are also discussed. The numerical results show that the present method is quite easy to implement, accurate and efficient for the problems considered.