Abstract
Free vibration of thick rotating prestressed anisotropic cylindrical shells is investigated. Torque, external pressure and axial compression load are considered as prestresses. The basic equations are derived from Hamilton's principle based on the first-order shear deformation theory. The equations of motion can be separated into quasi-static and dynamic ones, i.e., the equations in the steady rotating state and those in the vibrating state. Using the modified Galerkin's method, frequency analisis is carried out for four boundary conditions. The general cases with anisotopy and prestresses are analyzed. Then numerical results are compared with those based on the classical shell theory, and the differences between the theories are examined.
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