Refined Governing Equations of Vibration Plate With Thermo-mechanical Coupling
Abstract
In this paper,based on the theory of thermoelastodynamics,applied the method of differential operators and the theory of gauge fields,the thermo-mechanical coupled problem of vibration plates was investigated.The refined governing equations of vibration plates and temperature including the effect of thermomechanical coupling are firstly obtained by using three gauge conditions,and the criterion representing the extent of thermomechanical coupling was given.The related some questions,for examples,the mechanism and response modes of thermo-mechanical coupling in plates were analyzed and discussed by using the theory of PDE.The proposed refined governing equations of thermo-elastic plates and its analysis results can be used to analyze and solute the thermo-mechanical dynamic problem of plates at the high temperature.
