ASYMMETRIC VIBRATIONS OF POLAR ORTHOTROPIC LAMINATED ANNULAR PLATES

A theory of general nonsymmetric motion of heterogeneous orthotropic annular plates in terms of radial, circumferential, and transverse displacements is formulated. The eighth-order system of equations obtained generalizes earlier results on axisymmetric vibrations of laminated plates, as well as asymmetric vibrations of symmetrically laminated plates. The eigenvalue problem is solved numerically by the Goodman-Lance method. Accuracy of solution is retained by using the Godunov-Conte criterion of orthonormalizing the base solutions at each point where the least angle between the relevant pair of base vectors is less than a specified tolerance. Numerous examples are presented indicating the effect of plate heterogeneity on the vibration spectrum. An interesting feature is that the density of the eigenfrequencies in laminated plates may be higher than that of the homogeneous plates. © 1979 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.