《Earthquake Engineering and Structural Dynamics》杂志刊登“弹性矩形储液罐在水平地震作用下的动力分析”

作者：S. Hashemi; M. M. Saadatpour; M. R. Kianoush

刊物：《Earthquake Engineering and Structural Dynamics》，2013年，42卷第11期，1637-1656页

关键词：矩形箱；流体-结构相互作用；Rayleigh-Ritz法；脉冲响应；对流响应；抗震设计

摘要：本文提出了一种用于确定3维弹性矩形储液罐在水平地震荷载作用下动力响应分析的新方法。在储液罐有流体时的平均脉冲压力下，考虑了流体-结构的相互作用结构动力响应的影响。由于边界条件的速度势满足分离变量叠加原理，本文通过其计算脉冲压力的分布。利用弹性板合理边界下振动模态的Rayleigh-Ritz法，对3维储液罐矩形模型进行计算。由于三角函数可以满足边界条件且充分考虑了墙的弹性，所以本文用三角函数来定义允许的振动模态，并进行了时域分析。此外，在分析过程中，得到了刚性储液罐中对流压力和表面位移的简单公式。研究了不同储液罐参数对动力响应特性的影响。提出一个考虑储油罐墙体的变形力学模型，通过开发的图标获得这一模型的参数。地震荷载的最大值可以通过反应谱生成设计地震动来预测得到。通过反应谱生成设计地震动来预测地震荷载的最大值。最后利用一个简单的程序对储液罐抗震设计公式进行了改进，改进后的公式精度较高。

Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion

Authors: S. Hashemi; M. M. Saadatpour; M. R. Kianoush

Journal: Earthquake Engineering and Structural Dynamics, Volume 42, Issue 11, pages1637-1656, September 2013

Key words: rectangular tank; fluid–structure interaction; Rayleigh-Ritz; impulsive response; convective response; seismic design

Abstract: In this paper, an analytical method is proposed to determine the dynamic response of 3-D rectangular liquid storage tanks with four flexible walls, subjected to horizontal seismic ground motion. Fluid–structure interaction effects on the dynamic responses of partially filled fluid containers, incorporating wall flexibility, are accounted for in evaluating impulsive pressure. The velocity potential in which boundary conditions are satisfied is solved by the method of separation of variables using the principle of superposition. The impulsive pressure distribution is then computed. Solutions based on 3-D modeling of the rectangular containers are obtained by applying the Rayleigh–Ritz method using the vibration modes of flexible plates with suitable boundary conditions. Trigonometrically functions that satisfy boundary conditions of the storage tank such that the flexibility of the wall is thoroughly considered are used to define the admissible vibration modes. The analysis is then performed in the time domain. Moreover, an analytical procedure is developed for deriving a simple formula that evaluates convective pressure and surface displacements in a similar rigid tank. The variation of dynamic response characteristics with respect to different tank parameters is investigated. A mechanical model, which takes into account the deformability of the tank wall, is developed. The parameters of such a model can be obtained from developed charts, and the maximum seismic loading can be predicted by means of a response spectrum characterizing the design earthquake. Accordingly, a simplified but sufficiently accurate design procedure is developed to improve code formulas for the seismic design of liquid storage tanks. 

原文链接：http://onlinelibrary.wiley.com/doi/10.1002/eqe.2291/abstract