考虑浮顶影响的隔震储罐简化力学模型及地震响应

The simplified mechanical model and the seismic response for isolation tank with floating roof

摘要:

为便于工程分析与应用,依据速度势理论,建立液体运动势函数、基底剪力、倾覆力矩表达式,将浮顶简化为刚性的均质板,并以板的振动方程和板与液面作用的边界条件为出发点,构造晃动分析方程和波高表达式．并利用基底剪力等效和做功相等的方法建立了分析问题的简化力学模型,依据能量原理建立体系的运动控制方程,给出了相关参数的取值影响．以50 000 m³储罐进行反应谱和时程分析. 结果表明:剪力、弯矩以及波高等地震响应与相关研究文献及有限元解对比比较接近,研究结果是可行的,能够满足工程结构设计人员的需要．

Abstract:

To engineering analysis and application,based on velocity potential theory, the liquid movement potential function and the expression of base shear, overturning moment were established. The floating roof was simplified as a rigid, homogeneous plate. Starting with plate vibration equation and boundary conditions of the plate-liquid surface interaction, the sloshing analysis equation and the wave height expression were constructed. A simplified analysis mechanical model was established by adopting base shear equivalent and the same way to acting energy, and the system motion equation was given according to the energy principle, given the impact of the relevant parameter. Selected 50 000 m³ storage tank, the response spectrum and time history analysis were contrasted. The results showed that: base shear force, bending moment and wave height were close to related research literature and finite element solution,the research result is feasible, it could meet the engineering design needs.