Discrete singular convolution method for the free vibration analysis of rotating shells with different material properties

Using the discrete singular convolution (DSC) method, this paper presents the free vibration analysis of rotating truncated conical shells, circular shells and panels. Isotropic, orthotropic, functionally graded materials (FGM) and laminated material cases are considered. The influences of centrifugal and Coriolis accelerations and the effects of initial hoop tension have been taken into account. The present analysis is based on Love's first approximation shell theory. Frequency values are obtained for different types of boundary conditions, rotating velocity, circumferential wave number, geometric and material parameters. To verify the accuracy of this method, comparisons of the present results are made with results available in the literature. Some results related to rotating annular plates are also presented via conical shell equations. It is shown that the present method is reliable and applicable for vibration analysis of rotating shells and plates.