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本文利用有限元法分析了在水平地震作用下刚性(?)转壳贮液罐液体的动力反应。理论分析与形成有限元公式所作的基本假设是罐内液体为理想流体以及它的流动是无旋的。 上述问题只有在圆柱形罐时才有解析解。根据理论分析与本文所建立的有限元公式设计了计算机程序,用它算出的贮液罐内液体晃动的固有频率与地震动力反应值与解析解相比具有很好的精确度。我们利用这一程序计算还得出结论:尽管Housner法是一种近似法,它只能求出液体晃动的基频,但该法仍具有相当的精确度。
In this paper, the dynamic response of liquid in a rigid (?) rotating shell liquid storage tank under horizontal earthquake is analyzed by finite element method. The basic assumption made by theoretical analysis and the formation of the FEM formula is that the liquid in the tank is an ideal fluid and its flow is non-rotary. The above problem can only be solved analytically in cylindrical tanks. The computer program was designed based on the theoretical analysis and the finite element formulae established in this paper. The natural frequency of liquid sloshing in the liquid reservoir calculated by using the computer program has a very good accuracy compared with the analytical solution. We use this procedure to calculate that we have reached the conclusion that although the Housner method is an approximation, it can only determine the fundamental frequency of the liquid sloshing, but the method still has considerable accuracy.