Vibration of circular double-plate systems

Vibrational characteristics of circular double-plate systems connected together by concentric, intermediate, elastic ring supports have been considered in this work. The analysis is based on the assumption that both of the plates are thin, elastic, and isotropic. Also, the plates are subjected to initial in-plane loads. The solutions are shown to be in terms of Bessel functions for the case of complete and annular (with equal in-plane loads) circular isotropic plate systems. The vibrational characteristics of the systems are illustrated by presenting numerical results for isotropic plate systems with one intermediate connection. When both the plates are identical with identical edge forces and boundary conditions, in-phase and out-of-phase vibration modes are observed. © 1978, Acoustical Society of America. All rights reserved.