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Thermally Induced Principal Parametric Resonance in Circular Plates
2002
Shock and Vibration
We consider the problem of large-amplitude vibrations of a simply supported circular flat plate subjected to harmonically varying temperature fields arising from an external heat flux (aeroheating for example). The plate is modeled using the von Karman equations. We used the method of multiple scales to determine an approximate solution for the case in which the frequency of the thermal variations is approximately twice the fundamental natural frequency of the plate; that is, the case of
doi:10.1155/2002/718921
fatcat:ec37th3o2jhktpwyl6ofqord7i