Nonlinear Vibrations of a Circular Plate Induced by Mechanical and Thermal Loadings

Abstract eng:
An effect of thermal loading on vibration of a nonlinear circular plate considered as extended Mindlin model with nonlinear terms due to large deflections is analysed in the paper. The coupled thermal and mechanical model is derived first in the form of nonlinear partial differential equations and then the problem is reduced by modal projection. The importance of the elevated temperature around the main resonance for varied temperature is shown and the nonlinear characteristics with bifurcation points have been computed for selected thermal and mechanical loadings.

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