Analysis of Vibrations of Rotating Thin Circular Cylindrical Shells

Abstract

An exact method using power series expansions is presented for solving free vibrations of rotating thin circular cylindrical shells. Equations of motion, which are differential equations with variable coefficients, are solved exactly by power series expansions. Frequencies and mode shapes of rotating circular cylindrical shells with both ends clamped and with both ends simply supported are presented showing their variations with rotating angular velocity.