Abstract
A simple and computationally efficient numerical approach is employed in this study for free vibrations of complicated shaped layered shells of revolution. Each layer of the shell is assumed to be constructed from an orthotropic material. The effects of shear deformation and rotary inertia have been included in the formulation, where stiffness and consistent mass matrices are evaluated using reduced integration technique. The approach yields accurate results for shells, if the mid-surfaces are represented by a series of mutually tangential circular arcs. Numerical examples include the natural frequencies and corresponding mode shapes of three-layered freely supported circular cylindrical shells, clamped shallow spherical shells and a cylindrical shell closed by a torispherical head.
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