Abstract
The system of two non-linear coupled differential equations of the second and fourth orders, respectively, governing motions of a rotating anisotropic membrane-like disk, is analyzed under the assumption of a particular form of the transverse deflections. The general equations derived for the stresses are compared with the known particular solutions associated with both a non-linear purely vibrational mode and non-linear (and linear) wave propagation in anisotropic and isotropic materials. The stability of motion for a specific mode and a particular choice of temporal perturbation is investigated. General equations obtained for the perturbation parameters are examined in two particular cases.
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