Abstract
A knowledge of the free vibration characteristics of tank — liquid systems is essential in order to predict dynamic responses. It has been demonstrated that in a dynamic situation impulsive forces are significant because of the elastic compliance of the tank wall. In this paper, the effects of wall flexibility on the dynamic response of liquid storage tanks is considered. Variational principles are used to obtain a functional describing coupled oscillations between a linear elastic body and a liquid of small wave heights. A complementary Rayleigh's quotient has been introduced to obtain coupled natural frequencies and the dynamic pressure distribution in the axisymmetric natural modes of vibration. Both low frequencies (liquid sloshing mode) and high frequencies (tank bulging mode) have been included in this study.
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