Numerical Study of the Effect of Different Tank Shapes on Liquid Sloshing Characteristics

Yuxuan Zhu, D. Lu, Dong Li, Yu Liu
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Abstract

In nuclear power engineering, there are many tanks with irregular shapes (e.g., the cooling water tank of the containment, etc.), whose shapes are quite different from the traditional rectangular tanks. Under seismic excitation, the sloshing of the liquid in the tank produces the fluid-structure interaction (FSI) with the structure. It is crucial to study the sloshing characteristics of the water tank during the design of the reactor structure. There is a difference between the sloshing characteristics of irregularly shaped tanks and rectangular tanks, but there are few studies on this difference and the significance of the difference needs to be further investigated. To explore the aforementioned issues, based on the fluid-structure interaction theory and Housner’s equivalent mechanical model, the finite element models of the irregularly shaped water tank and the regular water tank (rectangular) are established by ANSYS software. The effect of the tank shape on the sloshing frequency and added mass of water in the tank is studied by modal analysis and calculation of the added mass. Further, the significance of the effect of tank shape on the natural and dynamic characteristics of tanks is investigated by comparing the variability of the sloshing frequency and the added mass. The results can guide the fluid-structure interaction problem in nuclear power engineering and provide a reference for the structural design of similar irregular water tanks, thus improving the safety and economy of reactor design.
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不同槽形对液体晃动特性影响的数值研究
在核电工程中,有许多形状不规则的储罐(如安全壳的冷却水箱等),其形状与传统的矩形储罐有很大的不同。在地震作用下,储罐内液体的晃动与结构体产生流固耦合。在反应器结构设计中,水箱晃动特性的研究是至关重要的。不规则形状油箱与矩形油箱的晃动特性存在差异,但对这种差异的研究较少,差异的意义有待进一步研究。为探讨上述问题,基于流固耦合理论和Housner等效力学模型,利用ANSYS软件建立了异形水箱和规则水箱(矩形)的有限元模型。通过模态分析和加入质量计算,研究了水箱形状对水箱晃动频率和加入质量的影响。此外,通过比较晃动频率和附加质量的变化,研究了罐体形状对罐体自然特性和动态特性的影响。研究结果可以指导核电工程中的流固耦合问题,为类似异形水箱的结构设计提供参考,从而提高反应堆设计的安全性和经济性。
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