Abstract
The parametric resonance of rotating cylindrical shells under periodic axial loading is investigated. The formulation is based on the dynamic version of Donnell's equation for thin rotating cylindrical shells. A modified assumed-mode method is used to reduce the partial differential equations of motion to a system of coupled second order differential equations with periodic coefficients of the Mathieu–Hill type. The instability regions are determined based on the principle of Bolotin's method. Of special interest here are the effects of the centrifugal and Coriolis forces on the instability regions which were examined in detail.
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