Abstract
Thermal behaviors of a thin plate under a periodic surface thermal disturbance are investigated. The temperature and the displacement responses are predicted using the parabolic heat conduction model. The solution of temperature response is obtained by separation of variables. Firstly, an analytic expression of heat flux filed within the plate is obtained by using the parabolic heat conduction equation which is described by heat flux vector, then, based on the conservation equation of energy, the temperature response is given. The displacement response of the plate is solved analytically using the Nowachi’s and the Navier’s approachs. The thermal behaviors of a plate with various relatively parameters is calculated numerically and the results shown graphically.
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