弯剪型模型下弹性贮液结构的自振特性分析

贮液结构主要用于工业企业贮存清水、污水、石油和化学液体等。为了计算这类结构的地震响应,首先必须知道结构的自振频率和相应的振型。因此,针对无液贮液结构,考虑弯曲变形和剪切变形,推导了振型和频率方程。为方便工程应用,利用MATLAB软件,得到了前三阶振型的计算图表,并对不同高度不同变形理论的自振特性进行了分析。通过数值算例表明了文中结论的正确性,从而为这类结构的自振和地震响应分析奠定了基础。

Free vibration characteristic analysis of the elastic liquid-storage tanks based on the bending shearing model

Liquid-storage tanks, mostly used to reserve rinsing, sewerage, petroleum and chemistry liquid, are broadly applied in such industry corporations as water-supply and drainage industry, sewerage-disposal industry, petroleum industry, chemistry industry and so on. For the sake of computing preferably earthquake responding of these structures, the characteristics of their free vibration, like frequency of free vibration and corresponding oscillation-mode, have to be known beforehand. Therefore, for the liquid-storage tanks without liquid, the equations about oscillation-mode and frequency based on bending-shearing model are deduced, and at the same time, the calculation tables and chart of former three oscillation-modes are presented by using MATLAB program, and free vibration characteristics using different deformation theory in different heights are analyzed. The correctness of the result is proved by calculation example, and a theory base is provided for analyzing subsequent free vibration and earthquake responding of this type of structure.