浮放储罐三维地震反应有限元分析

针对立式储罐,考虑液固耦合效应、地基与储罐结构的相互作用,采用有限元分析方法,对储罐在三维地震荷载作用下动反应进行了数值分析。分析结果表明：储罐三维地震加速度反应较一维地震加速度反应增加、提离高度明显放大、储罐轴向应力增加、基底剪力与弯矩增大。     

立式储罐与地基相互作用动力特性分析

立式储罐结构在工程实际中得到广泛的应用。本文以某大型立式储罐结构为例,考虑到液体、结构、地基的相互作用与影响,同时考虑地基与结构及液体与结构的耦合问题,采用有限元方法对浮放在地基上的储罐结构进行了自振特性计算。分别计算了满罐和空罐时系统的频率以及所对应的振型图,并研究了储罐的材料参数和地基刚度对动力特性的影响。结果表明:材料参数的影响较小,地基刚度的影响较大,对盛满液体与空罐的影响不同。     

比例阻尼矩阵构建方法对高重力坝地震反应的影响

通过二维数值计算,讨论合理建立阻尼矩阵对高重力坝时域内进行地震反应计算的重要性。首先,以4个不同坝高的混凝土重力坝为计算对象,将三种地震波作为水平输入,解得6种不同的阻尼矩阵形式下坝体的地震反应。然后以频域内解为标准,研究各种阻尼矩阵的合理性。研究结果表明：坝高超过250 m高的重力坝在时域内进行的地震反应计算是长周期系统的动力分析问题,应重视阻尼矩阵的建模方式,不宜采用单频率参数的质量比例阻尼矩阵和刚度比例阻尼矩阵,应采用双频率参数的Rayleigh阻尼矩阵,在确定2个频率参数时除采用坝体基频外还应考虑激振地震波的频谱特性以获得合理的坝体地震反应计算结果。     

水平地震作用下无锚固储罐应力与应变响应分析

在考虑地基与储罐相互作用的情况下,采用有限元法对储罐在水平地震荷载作用下的应力及应变反应进行了数值计算。对3×104m3和2×103m3罐壁应力及应变的分析结果表明:环向、轴向应力及应变的分布形式呈现出明显的下部大上部小的特点,在偏底部的位置出现应力和应变的峰值;储液罐在水平地震作用下“象足”变形是由纵向压应力达到屈曲临界应力导致的屈曲破坏,不是强度破坏,即破坏属于失稳破坏而非强度破坏。     

季节性冻土层对立式储罐地震反应的影响

冬季的季节性冻土层改变了地基土的动力特性和场地的卓越周期，季节性冻土层上储罐的地震反应必然受到季节性冻土层的影响。本文以Ⅲ类场地上的八种立式储罐为研究对象，计算了场地在非冻结期和冻结期两种情况下储罐的地震反应，并对计算结果进行了比较。结果表明Ⅲ类场地上的储罐，冻结期的地震反应要比非冻结期的地震反应明显增大。     

考虑SSI效应储油罐的子结构实验方法与数值模拟

提出了应用振动台子结构试验方法来研究考虑土-结构相互作用（SSI）效应储罐的抗震性能,该方法将土体简化为双自由度八参量集总参数模型进行模拟,储罐作为试验子结构应用振动台加载,两部分联机完成振动台子结构试验。该方法能完成大比例尺储罐试验,具有传统试验方法难以比拟的优势。然后,通过数值模拟分析了SSI效应对储罐动力响应的影响。分别研究了不同储液高度和不同地基刚度对储罐位移和加速度响应的影响。研究结果表明：考虑SSI效应时,罐体位移响应和加速度响应均有所减小,土质越软,效果越明显;随着储液高度的增高,位移、加速度反应呈现减小趋势。     

大型滑移基础隔震储罐地震反应影响因素研究

采用Bouc-Wen微分连续性模型模拟滑移支座的力学性能,对大型滑移基础隔震储罐非线性地震反应进行了仿真分析,得到了不同类型场地上大型滑移隔震储罐的地震响应特点,总结出了支座摩擦系数、复位刚度以及地震强度等因素对地震反应的影响规律.研究结果表明:大型滑移隔震储罐不适合建立在Ⅰ类场地上,而在Ⅱ类场地上减震效果最好.在Ⅳ类场地上隔震储罐出现晃动波高放大现象,并且需要增大支座摩擦系数和设置复位装置来控制过大位移反应.增大滑移支座复位刚度可以显著降低支座的残留位移.大型滑移隔震储罐在高地震强度地区的减震效果更好.     

近断层地震动作用下LRB隔震储罐地震反应特征研究

采用Bouc-Wen模型模拟铅芯橡胶支座(LRB)非线性力学性能,建立LRB基础隔震储罐地震反应的数值模型.利用叠加原理得到人工合成近断层脉冲型地震动,从实际典型近断层地震动和人工近断层脉冲地震动输入两个角度出发,以远场地震反应为参照,系统探讨了近断层地震动作用下LRB隔震储罐地震反应特点以及近断层地震动运动特征的影响规律.研究发现,近断层地震动作用下LRB隔震储罐地震反应明显大于远场地震反应值,显著的近断层脉冲效应是隔震储罐设计不容忽视的问题.近断层地震动的PGV/PGA值是决定隔震储罐地震反应的综合指标,PGV/PGA值较大时,隔震储罐地震反应脉冲效应突出.另外,脉冲周期、脉冲参与系数以及脉冲类型也是影响LRB隔震储罐地震反应的重要因素.在脉冲参与系数越大、含有脉冲数量越多的近断层地震动作用下,隔震储罐地震反应越强烈.当脉冲周期接近储罐晃动周期时,晃动波高会出现峰值.     

层状地基桩柱结构地震响应特性研究

为研究自然地质环境条件下非均质层状地基对结构物地震响应的影响,本文通过层状饱和土的刚度矩阵的建立,对不同夹层条件下的地基地震响应进行了对比研究。研究结果表明:相较于均质土层地基,由于非均质地基土层存在的非连续性界面,非均质夹层能明显影响地基的波动响应特征,对地震波有着显著的选择性滤波作用,尤其在含软夹层地基条件下能极大削弱入射波中的高频成分,而硬夹层则能极大滤除地震波中的低频成分。在对地基地震响应研究的基础上,通过对单桩和群桩码头结构的地震响应的数值模拟,对含夹层地基条件下不同刚度结构地震响应特性进行了对比研究。对比研究表明:对不同刚度的结构物,由于其固有自振频率的差异,不同夹层地基对其地震动力响应存在显著不同的影响规律,由于单桩结构较低的固有频率,使得其对低频波更为敏感,其固有振型在含软夹层地基条件下更容易被激发引起结构共振,而群桩结构则刚好相反,由于其更高的固有频率,在软夹层地基条件下由于高频波的滤除使得结构的地震动力响应显著降低,而在均质或含硬夹层条件下更容易激发其固有振型。通过对不同夹层地基条件下结构地震动力响应规律的研究,可以看出结构的地震动力响应同时受地基夹层条件以及结构自身动力特性的影响,相关研究结论可为非均质地基条件下的结构地震响应研究提供参考。     

液压阻尼系统控制浮放立式储罐提离失稳

立式圆柱储罐在油田、石油化工等企业用途广泛，多用作存贮易燃、易爆介质，一旦遭遇震害，后果将十分严重。本文针对浮放立式储罐地震响应的提离失稳问题，采用液压阻尼系统（HDS）用以控制储罐的提离反应，建立了安装HDS储罐的力学分析模型并进行了数值计算，对安装HDS后储罐的提离反应进行了分析。仿真计算结果表明：HDS可以有效地减小提离应力，从而地震烈度可以降低1度进行储罐的提离设计。     

基底隔震储罐频率特征与减震机理分析研究

研究不同高径比橡胶基底隔震储罐的频率特征,探讨储罐隔震体系3种不同振动频率随支座隔震频率变化规律.分析在不同频谱特性地震波激励下,隔震体系各振型组分对地震响应(基底剪力、支座位移和晃动波高)的影响,以及响应峰值随支座隔震频率和阻尼比的变化特点.研究表明,基底剪力峰值与场地地震波频谱特性密切相关.支座隔震频率不能完全反映减震机理的实质,隔震振型频率是影响基底剪力的重要参数.在软弱场地上隔震储罐的减震效率低,有效隔震频率范围窄.晃动波高峰值是储罐自振特性和地震波频谱特性等多种因素导致的结果,隔震系统设计时需特别考虑晃动波高增大的影响.     

竖向地震作用对储液罐地震响应的影响分析

地震作用下大型储液罐的安全问题日益引起重视。基于ANSYS软件建立储罐液体耦合有限元模型,考虑罐底非线性接触效应,以El-Centro南北向和竖直向记录地震波为输入,研究水平激励以及水平和竖向同时激励两种工况下储罐的动力响应。研究结果表明,两种工况下靠近罐底1.2m处均发生了"象足"变形,竖向激励下水平相对位移增加了14%。竖向激励使得罐壁环向应力和轴向压应力均有不同程度的增加。竖向地震激励对液面的竖向晃动影响较小。储液罐底板在地震作用下发生了竖向提离和永久滑移,竖向激励时增长幅度均在10%左右。同时罐体基底剪力在竖向地震作用下也有所增大。储罐抗震设计时应考虑竖向地震分量的影响,研究结论可为立式储罐的抗震设计提供一定的参考和依据。     

模型储罐三维地震反应振动台试验研究

针对立式钢制模型罐,进行了三维地震激励和一维地震激励振动台的动响应试验研究。结果表明:储罐在三维地震动激励下的反应与一维激励相比,加速度反应、罐壁的应变反应、储罐提离反应具有较明显的放大效应。位移反应在不同地震激励下,其放大效应不同,El Centro波激励下各测点三维激励下位移较一维激励下位移放大明显,Taft、天津波激励下各测点三维激励下位移较一维激励下位移有放大也有缩小,幅度均不大。由罐壁测点加速度功率谱分析表明:一维激励其峰值频率区域较为集中,主峰突出,能量主要集中于低频区;在三维地震激励下,频率峰值区域明显拉长,峰值点模糊,频率成份十分丰富,表现出多主峰的特点。     

Response of tanks to vertical seismic excitations

A method for analyzing the earthquake response of elastic, cylindrical liquid storage tanks under vertical excitations is presented. The method is based on superposition of the free axisymmetrical vibrational modes obtained numerically by the finite element method. The validity of these modes has been checked analytically and the formulation of the load vector has been confirmed by a static analysis. Two forms of ground excitations have been used: step functions and recorded seismic components. The radial and axial displacements are computed and the corresponding stresses are presented. Both fixed and partly fixed tanks are considered to evaluate the effect of base fixation on tank behaviour. Finally, tank response under the simultaneous action of both vertical and lateral excitations is calculated to evaluate the relative importance of the vertical component of ground acceleration on the overall seismic behaviour of liquid storage tanks.     

15km3天然气球罐设计研究及优化

天然气的广泛应用,促进存储容器向大型化发展。以已投产使用的10km³天然气球罐为设计基础,设计建造完全国产化的15km³天然气球罐,利用计算参数建立有限元模型,验证模型的可靠性。建立双层拉杆模型,施加地震荷载及风载,进行动力响应分析及应力分析。为讨论双层拉杆最优位置及直径,建立了5种上下拉杆比例不同的模型,另外每种比例模型设计3种不同拉杆直径。结果表明:在8度设防二类场地地震波的情况下,上层和下层拉杆比例为0.618∶1,直径为50mm的模型对于球罐优化方面优于其他模型,球罐各项参数均显著减小且应力无放大效应。     

Seismic assessment and retrofit of two heritage-listed R/C elevated water storage tanks

A seismic assessment and advanced retrofit study on two heritage-listed reinforced concrete (R/C) elevated water storage tanks is presented in this paper. The two structures were built between the late 1920s and the early 1930s as water suppliers for a coal power plant in Santa Maria Novella Station in Florence, and are still in service. The first, taller tank has a R/C frame supporting structure and is currently used as water supplier for trains and platform services. The second, shorter tank, with a shaft-shell supporting structure, is used as water tower for the Station. The dynamic behaviour of the fluid is simulated by means of a classical convective and impulsive mass model, for which a discrete three-dimensional schematization is originally implemented in the finite element analysis. The time–history assessment enquiry highlights numerical collapse of the frame structure in the taller tank, and unsafe tensile stress states in a large portion of the shaft structure of the shorter one, under seismic action scaled at the maximum considered earthquake level. Based on these results, two retrofit hypotheses are proposed, and namely a dissipative bracing system incorporating pressurized fluid viscous spring-dampers, for the taller tank, and a base isolation system including double curved surface sliders, for the shorter one. The mechanical parameters, design criteria and technical implementation details of the two rehabilitation strategies are illustrated. The verification time–history analyses in protected conditions show that a substantial enhancement of the seismic response capacities of both structures is attained as compared to their original configurations, with little architectural intrusion, quick installation works and competitive costs.     

Seismic assessment of unanchored steel storage tanks by endurance time method

Liquid storage tanks are essential structures that are often located in residential and industrial areas; thus an assessment of their seismic performance is an important engineering issue. In this paper, the seismic response of unanchored steel liquid storage tanks is investigated using the endurance time (ET) dynamic analysis procedure and compared to responses obtained for anchored tanks under actual ground motions and intensifying ET records. In most cases, the results from ground motions are properly obtained with negligible differences using ET records. It is observed that uplifting of the tank base, which is closely related to the tank aspect ratio, has the greatest significance in the responses of the tank and can be predicted with reasonable accuracy by using currently available ET records.     

Seismic response of base-isolated liquid storage tanks considering fluid–structure–soil interaction in time domain

The seismic response analysis of a base-isolated liquid storage tank on a half-space was examined using a coupling method that combines the finite elements and boundary elements. The coupled dynamic system that considers the base isolation system and soil–structure interaction effect is formulated in time domain to evaluate accurately the seismic response of a liquid storage tank. Finite elements for a structure and boundary elements for liquid are coupled using equilibrium and compatibility conditions. The base isolation system is modeled using the biaxial hysteretic element. The homogeneous half-space is idealized using the simple spring-dashpot model with frequency-independent coefficients. Some numerical examples are presented to demonstrate accuracy and applicability of the developed method.Consequently, a general numerical algorithm that can analyze the dynamic response of base-isolated liquid storage tanks on homogeneous half-space is developed in three-dimensional coordinates and dynamic response analysis is performed in time domain.     

On the seismic behavior of cylindrical base-isolated liquid storage tanks excited by long-period ground motions

A common effective method to reduce the seismic response of liquid storage tanks is to isolate them at base using base-isolation systems. It has been observed that in many earthquakes, the foregoing systems significantly affect on the whole system response reduction. However, in exceptional cases of excitation by long-period shaking, the base-isolation systems could have adverse effects. Such earthquakes could cause tank damage due to excessive liquid sloshing. Therefore, the numerical seismic response of liquid storage tanks isolated by bilinear hysteretic bearing elements is investigated under long-period ground motions in this research. For this purpose, finite shell elements for the tank structure and boundary elements for the liquid region are employed. Subsequently, fluid–structure equations of motion are coupled with governing equation of base-isolation system, to represent the whole system behavior. The governing equations of motion of the whole system are solved by an iterative and step-by-step algorithm to evaluate the response of the whole system to the horizontal component of three ground motions. The variations of seismic shear forces, liquid sloshing heights, and tank wall radial displacements are plotted under various system parameters such as the tank geometry aspect ratio (height to radius), and the flexibility of the isolation system, to critically examine the effects of various system parameters on the effectiveness of the base-isolation systems against long-period ground motions. From these analyses, it may be concluded that with the installation of this type of base-isolation system in liquid tanks, the dynamic response of tanks during seismic ground motions can be considerably reduced. Moreover, in the special case of long-period ground motions, the seismic response of base-isolated tanks may be controlled by the isolation system only at particular conditions of slender and broad tanks. For the case of medium tanks, remarkable attentions would be required to be devoted to the design of base-isolation systems expected to experience long-period ground motions.