Abstract
General equations of motion and compatibility governing nonlinear transverse vibrations and waves in membrane-like isotropic spinning disks are derived, assuming the presence of a temperature field. A harmonic-type nonlinear wave is then studied, corresponding to the gravest mode in the linear case. Using the Galerkin procedure, the general wave frequency-wave amplitude relation is discussed for a disk with constant edge temperature and with faces freely transferring heat. By means of small temporal disturbances of transverse motions, leading to a system of two coupled differential equations related to a Mathieutype equation, a detailed analysis of wave stability is given. A numerical example is illustrated by a graph.
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