Non-Linear Free Flexural Vibration of Heated Plates With Initial Deflection

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  • 初期変形を有する加熱平板の非線型自由振動

Abstract

The problems of thermal stress and vibration of structural components and structures, resulting from the aerodynamic heating encountered in the supersonic flight and from the extremely high temperature induced in combustion chambers and exhaust pipes, have been of great importance in connection with the development of missiles and artificial satellites. <BR>In the present paper, the fundamental equations of non-linear free flexural vibration for a heated rectangular plate, taking the initial deflection into account, are solved approximately by employing a method of successive approximation, and the influences of the initial deflection, temperature change and large amplitude on the period of free vibration are established. <BR>Then, some experimental results on the free vibration of a plate subjected to the change in temperature are presented. It is shown that the experimental results agree qualitatively with the theoretical one.

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