Stability of continuous double-plate systems

Stability characteristics of circular double-plate systems which are interconnected by n intermediate, concentric, and elastic ring supports are considered in this paper. In particular, for annular isotropic plates with different loads at the inner and outer edges, closed-form solutions in terms of integrals of Bessel and Lommel functions are developed for the symmetric (m = 0) and the first asymmetric (m = 1) modes. Also, it is shown that, for isotropic complete plates and annular plates with equal loads at the inner and outer edges, the solutions will reduce to the well-known solutions in terms of Bessel functions. Several new buckling characteristics of the continuous double-plate systems are illustrated by numerical results obtained for isotropic, fixed-fixed, and fixedfree systems with one intermediate elastic connection. © 1975 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.