Vibration analysis of thick rotating prestressed cylindrical shells. (1st Report. The case of exposure to an initial torque).

Abstract

Vibration analysis of thick rotating cylindrical shells subjected to an initial torque is described. The basic equations, including the effects of the initial tensions and resultant shear stresses due to rotation, torque, external pressure and axial compression load, are derived by the Timoshenko-type shell theory. By the modified Galerkin's method, frequency analysis is carried out for four boundary conditions (i.e., both ends (A) clamped with axial constraint. (B) Simply supported without axial constraint. (C) Simply supported with axial constraint and (D) clamped without axial constraint). Numerical results are compared with those based on the Flugge-type shell theory and the difference between both thoeries is examined.