Abstract
The modal analysis of axisymmetric and asymmetric circular wave motions in a plate of infinite extent is presented. Both homogeneous and layered constructions are considered, with each layer possessing distinct thickness and transversely isotropic material properties. Frequency equations for two classes of natural vibrations are derived. For each class, the frequency equation is independent of the circumferential wave number, and this equation is valid for both axisymmetric and asymmetric motions. Also, these equations are shown to be identical to those for plane wave motions, so that transposition of known solutions for plane motions can be immediately made to yield frequency results for circular wave motions. Example cases of isotropic homogeneous and isotropic layered plates are presented to illustrate the theory.
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