Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC)

Vibration analysis of conical shells has been of considerable research interest due to their importance in the area of structural, aerospace, chemical, submarine hulls, and mechanical applications. A number of analytical and numerical studies have been conducted on the linear and nonlinear static and dynamic analysis of conical shells (Saunders et al. 1960, Garnet and Kemper 1960, Irie et al. 1984, Tong 1993, Liew et al. 2005). Some selected works in this research topic includes those of Leissa (1973). More detailed information can be found in a review paper by Chang (1981). This note presents a novel computational approach, the discrete singular convolution (DSC) algorithm, for the linear free vibration analysis of conical shells.