Free vibration analysis of a rotating annular disc under uniform pressure loading

Abstract

The out-of-plane free vibration behaviour of a rotating annular disc under the application of uniform transverse pressure is presented. The method of analysis is based on energy principles, and the governing equations are obtained by the application of variational principles. Both rotation and transverse pressures act as external loading on the disc, producing in-plane and out-of-plane displacements. The displacements are approximated through linear combinations of admissible orthogonal functions and unknown coefficients. The orthogonal functions are generated numerically and the entire analysis is performed on a numerically generated grid in the physical domain of interest. The results are validated successfully with the results available in the literature and also with the results generated by the commercial finite-element package ANSYS. The dynamic behaviour of the rotating disc is furnished in a non-dimensional plane for different combinations of rotational speed and uniform transverse pressure, up to the initiation of yielding.