立式储罐与地基相互作用地震反应分析

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住水平地震荷载作用下的反应进行了计算。推导了系统刚度矩阵及质量矩阵的计算过程。通过对四种场地条件下的地震响应分析,得出了储罐各种参数对地震反应的影响。分析表明：不同的地震激励对储罐系统的反应是不同的;地基刚度对系统的动力响应的影响也很大：即地基越“柔”,基底弯矩、罐壁轴向应力越小,但环向应力和底板变形却在增加。     

基于阻尼器反力墙体系的特大型LNG储罐控制研究

特大型液化天然气（LNG）储罐的固有频率通常介于2~10 Hz之间,处于大部分地震运动的频率范围之内。在过去的几十年中,许多事故已经证明,储罐在地震作用下很容易遭破坏。使用隔震支座来减少储罐的地震作用已经被证明是非常有效的,但对于特大型LNG储罐,其连接组件对隔震层层间位移有严格限制,尤其是在软土场地中,桩水平抗力与隔震层位移是一对矛盾,普通隔震系统会在隔震层产生较大位移,导致特大型LNG储罐连接组件的设计非常困难。因此提出了一种由环形阻尼器反力墙、粘滞阻尼器以及安装于基桩顶端的隔震支座组成的新型隔震系统,反力墙独立设置于地基中,不与桩基连接,罐底的部分剪力直接向反力墙传递。以容量为16万m3的特大型LNG储罐为例,建立多自由度集中质量简化模型,以层间位移、桩基剪力作为性能指标进行了评价分析。结果显示,新型隔震系统对特大型LNG储罐隔震层位移及桩基剪力的控制非常有效。     

半刚性连接钢框架结构弹性时程分析

用两端带转动弹簧的杆单元代替一般的杆单元,提出了一种新的平面杆系钢结构动力弹性时程分析计算模型。采用虚功原理,通过对单元转角-位移方程的修正,推导了这种计算模型的单元质量矩阵,并编制了相应的弹性时程分析计算程序,分析了连接的半刚性在不同地震动作用下对钢框架结构动力性能的影响,并与有限元结果进行了比较。算例结果表明:连接的半刚性对结构动力性能的影响非常大,结构的抗震性能优于刚性连接的情况。     

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。     

石化设备系统的动力相互影响分析

提出了一简化模型，模拟计算用管道连接两个设备的复杂石化生产系统的地震反应，分析设备与管道之间的动力相互作用。计算结果表明设备与管道系统的相互作用，对于其中一设备的地震响应有较大的放大作用，管道刚度的变化对频率不同设备的地震响应有不同的影响。最后，对减小设备与管道系统的相互作用提出了建议。     

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。     

位移谐波激励下拱顶锚固储罐的动力屈曲研究

地震下储罐罐壁发生屈曲是其主要的震害形式,研究储罐的动力屈曲特性尤为重要.以位移简谐波为水平激励,运用ADINA有限元软件对高径比分别为0.82、1.24和1.85的3种拱顶锚固储罐进行动力屈曲分析.根据Budiansky-Roth动力屈曲准则,通过谐波位移幅值对应的加速度峰值PGA和储罐位移响应,绘制特征节点的"伪平衡路径"轨迹,以确定临界加速度峰值,判断储罐动力屈曲.3种储罐模型在位移谐波激励下均为弹性屈曲.通过动力屈曲分析得出结论:储罐屈服的位置随高径比的不同有所不同,屈服多发生在径向变形最大处,罐壁内外面的塑性总应变值和屈服应力值大小不同等.最后以储罐模型B为例,将以"伪平衡路径"轨迹确定的临界应力与规范公式的计算结果进行了比较.     

基于分离式近场地基模型的土-曲线梁桥非一致地震反应分析方法研究

进行土-曲线桥梁结构整体动力分析数值模型的计算通常较为困难,需要减少计算规模。推导了基于大质量法的自由场一维化时域简化算法,根据波在介质中的传播规律求解自由波场的位移扩展解,结合行波效应和合成空间多点相关地震动时程方法,分离出包含桥梁基础部分的地基,将地震动转化为作用在分离地基人工边界上的等效荷载,提出了一种分离式近场地基模型,并与扩展模型比较验证模型的精度。以一座小半径曲线梁桥为例,基于分离式近场地基模型对空间非一致地震动场进行了模拟,研究了考虑土-结构相互作用和空间变化地震动作用下的曲线梁桥抗震性能,与p-y曲线模型、固定基底模型进行对比,比较了3种模型在不同地震动作用下的地震响应幅值。研究表明:分离式近场地基模型能够同时考虑行波效应、相干效应和土-结构的动力相互作用,减少了模型单元数量,保证精度的同时提高了计算效率。通过研究不同视波速、不同相干性及不同场地条件对曲线梁桥结构地震反应的影响,获得曲线梁桥结构各构件内力反应值的范围,地震动空间变化对主梁弯矩和主梁扭矩产生显著的影响,场地效应对墩底弯矩有较大的影响。     

位移谐波激励下拱顶锚固储罐的动力响应分析

地震中拱顶锚固储罐的破坏将造成严重的后果,研究其地震作用下的动力响应特性具有一定工程意义。以位移简谐波为水平激励,运用AD INA有限元软件对一座3 000m3的拱顶锚固储罐模型进行动力数值模拟,系统分析了储罐内液面晃动波高、动水压力极值、罐壁应力、拱顶应力、拱顶位移等动力响应结果,将以位移谐波激励和以加速度谐波激励的储罐动力响应结果进行比较。分析表明,位移谐波激励下拱顶锚固储罐的液面晃动波高受场地影响较大;储罐应力分布具有一定规律性;采用位移谐波激励时其应力、位移和动水压力等较采用加速度谐波激励时大,液体晃动波高较小。     

动力基础系统非线性本构关系的研究

采用理想集总参数计算体系,以三次幂多项式模型反映动力地基的非线性特性,将非线性幂函数作为循环荷载作用下系统位移-力关系的主干骨线,在此基础上按照Masing二倍法则,将骨线拓展为位移一力的滞回曲线,建立了动力基础双曲线滞回动力学模型。提出了非线性广义刚度函数的概念,建立了动力基础系统在不同振动形式下的非线性本构关系。     

Seismic response of simple structures using spring-assisted sliding slabs with coulomb damping

Coulomb damping can be utilized effectively to reduce the dynamic response of structures subjected to seismic ground motions. To activate this damping, some parts of a vibrating structure are allowed to slide at rough interfaces. The dynamic response of structures provided with sliding interfaces at the base, between a floor slab and frame and in the cross bracings of a frame has been examined recently. In this paper, a simple slab sliding system provided with a spring to introduce a recovery mechanism and to reduce the sliding displacement requirement for low frequency structures has been examined. The equations of motion for this system are developed. An approach is presented to solve these coupled equations for earthquake induced ground motions. Structures with varying frequency and friction characterisics are considered and the numerical results are presented in response spectrum form. It is observed that, in low frequency structures, provision of a rather weak spring can reduce the sliding displacement requirements without significantly increasing the forces in the supporting frame and the acceleration input to supported secondary systems.     

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.     

A simplified seismic analysis of rigid base liquid storage tanks under vertical exicitation with soil-structure interaction

A study is carried out to evaluate dynamic response of an elastic circular cylindrical tank having a rigid base under a vertical excitation taking into consideration the interaction with the foundation soil. At first, the soil is represented by frequency-independent parameters. Two coupled differential equations, governing the motion of the shell and the base, are solved using a step by step integration technique. The hydrodynamic pressures, acting on the shell and on the base, are derived from a velocity potential function which satisfies the Laplace equation and the appropriate boundary conditions. The response of the simplified model of a tank having a rigid base on a stiff foundation soil is compated to that obtained elsewhere to check the accuracy of the present model. Reasonable agreement is found between the maximum wall displacement and the associated stresses with those found by a more elaborate model. The interaction of the tank and the soil reduces the response than that calculated under the assumption of a rigid foundation soil. A parametric study to examine the effects of the height-to-radius ratio of the tank, and the effects of the shear wave velocity of the soil on the response is conducted. Varieties of foundation models are used to assess the sensitivity of the response to the variation in the soil parameters. Finally, a more representative solution for the problem in the frequency domain is obtained where the soil is appropriately modelled by frequency-dependent parameters. The transfer functions of the response of the tank wall and of the relative base motion are evaluated, and a comparison between the frequency-dependent and the frequency-independent solutions is made.     

基础平动与转动结构随机地震响应分析的复模态法

本文对基础平动与转动结构随机地震响应问题进行了系统研究。首先建立了结构运动方程，然后针对体系运动方程为非经典阻尼的情况．用复模态法解耦获得了体系位移、速度和加速度随机地震响应的解析解，最后通过一个例子来说明考虑结构一地基相互作用的必要性。本文方法可推广到非平稳地震响应分析。     

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。     

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.     

Sliding-uplifting response of rigid blocks to base excitation

In the present paper a two-degree-of-freedom system is considered which allows the simulation of rigid blocks uplifting and sliding on frictional foundations; the monolateral constraint between block and base is schematized by means of a joint model, which allows the contact problem to be discretized. The joint model is governed by normal and shear constitutive laws, which have been derived by the phenomenological behaviour of stone blocks and rock joints, as given by rock mechanics. Furthermore, a numerical procedure has been developed in order to solve the non-linear equations governing the motion of the block-base system, and to analyse the dynamic response of this system under seismic excitation; particular attention has been paid to the influence of the vertical displacement on the slip response.     

Tuned liquid dampers simulation for earthquake response control of buildings

This paper is focused on the study of an earthquake protection system, the tuned liquid damper (TLD), which can, if adequately designed, reduce earthquake demands on buildings. This positive effect is accomplished taking into account the oscillation of the free surface of a fluid inside a tank (sloshing). The behaviour of an isolated TLD, subjected to a sinusoidal excitation at its base, with different displacement amplitudes, was studied by finite element analysis. The efficiency of the TLD in improving the seismic response of an existing building, representative of modern architecture buildings in southern European countries was also evaluated based on linear dynamic analyses.     

Seismic design of flexible cylindrical liquid storage tanks

Seismic response of cylindrical storage tanks anchored to rigid base slabs is considered. Finite elements are used for the liquid and tank wall, idealized as a thin shell. For steel tanks of practical dimensions, design charts are presented for natural frequencies, maximum shear and overturning moment on the foundation, and maximum stress resultants in the tank wall. Furthermore, an analytical expression for the superelevation of the free surface is presented.     

Nonlinear seismic response analysis of earth dams

The objective of this paper is to propose a general and efficient numerical procedure for analysing the dynamic response of geotechnical structures, which are considered as both nonlinear and two phase systems. In Section 2, the appropriate coupled dynamic field equations for the response of a two-phase soil system are briefly reviewed. The finite element spatial discretization of the field equations is described and time integration for the resulting nonlinear semi-discrete finite element equations is discussed. In Section 3, iterative techniques are examined for the solution of the global nonlinear system of finite element equations. A large amount of computational effort is expended in the iterative phase of the solution and so the iterative procedure used must be both reliable and efficient. The performance of three iterative procedure is examined: Newton Raphson, Modified Newton Raphson and Quasi-Newton methods, including BGFS and Broyden updates. Finally, in Section 4, the elasto-plastic earthquake response analysis of a two phase nonhomogeneous earth dam is presented. Extensive documentation exists¹ for the particular problem selected including recorded earthquake motions at the base and crest of the dam. The results of the numerical calculations are compared to the recorded response of the dam.