A modal procedure for seismic analysis of non-linear base-isolated multistorey structures

A modal procedure for non-linear analysis of multistorey structures with high-damping base-isolation systems was proposed. Two different isolation devices were considered in the analysis: an high-damping laminated rubber bearing and a lead-rubber bearing. Starting from deformational properties verified by tests, the isolation systems were characterized using three different analytical models (an Elastic Viscous, a Bilinear Hysteretic and a Wen's Model) with parameters depending from maximum lateral strain. After non-linear modelling of isolation and lateral-force-resisting systems, the effects of material non-linearities were considered as pseudo-forces applied to the equivalent linear system (Pseudo-Force Method) and the formally linearized equations of motion were uncoupled by the transformation defined by the complex mode shapes. The modal responses were finally obtained with an extension of Nigam–Jennings technique to non-linear and non-classically damped systems, in conjunction with an iterative technique searching for non-linear contributions satisfying equations of motion and constitutive laws. Since the properties of the isolated structure usually change with maximun lateral strain of isolation bearings, the integration of a new set of governing equations was required for each design-displacement value. The procedure proposed was described in detail and then applied for the determination of modal and total seismic responses in some real cases. At first, a very good agreement between non-linear responses obtained with the proposed mode superposition and with a direct integration method was observed. Then a comparison of results obtained with the three different analytical models of the isolation bearings was carried out. At last, the exact modal response obtained with analytical models depending from the design displacement of the isolation bearings was compared with two different approximated solutions, evaluated using mode shapes and isolation properties, respectively, calculated under simplified hypothesis.© 1998 John Wiley & Sons, Ltd.     

Seismic isolation for low‐to‐medium‐rise buildings using granulated rubber–soil mixtures: numerical study

This paper presents the preliminary research works on a potential seismic isolation method that makes use of scrap rubber tires for the protection of low‐to‐medium‐rise buildings. The method involves mixing shredded rubber tire particles with soil materials and placing the mixtures around building foundations, which provides a function similar to that of a cushion. Meanwhile, the stockpiling of scrap tires is a significant threat to our environment, and the engineering community has been looking for long‐term viable solutions to the recycling and reuse of rubber. A finite element program has been developed for modeling the time‐domain dynamic responses of soil–foundation–structure system, by which the effectiveness and robustness of the proposed method have been evaluated. In general, the structural responses, in terms of acceleration and inter‐story drift, can be reduced by 40–60%. Copyright © 2012 John Wiley & Sons, Ltd.     

Seismic lateral movement prediction for gravity retaining walls on granular soils

At present, methods based on allowable displacements are frequently used in the seismic design of earth retaining structures. However, these procedures ignore both the foundation soil deformability and the seismic amplification of the soil placed behind the retaining wall. Thus, they are not able to predict neither a rotational failure mechanism nor seismic induced lateral displacements with an acceptable degree of accuracy for the most general case. In this paper, a series of 2D finite-element analyses were carried out to study the seismic behavior of gravity retaining walls on normally consolidated granular soils. Chilean strong-motion records were applied at the bedrock level. An advanced non-linear constitutive model was used to represent both the backfill and foundation soil behavior. This elastoplastic model takes into account both the stress dependency of soil stiffness and coupling between shear and volumetric strains. In unloading–reloading cycles, the non-linear shear-modulus reduction with shear strain amplitude is considered. Interface elements were used to model soil–structure interaction. Routine-design charts were derived from the numerical analyses to predict the lateral movements at the base and top of gravity retaining walls located at sites with similar seismic characteristics to the Chilean subduction zone. Thus, wall seismic rotation can also be obtained. The developed charts consider wall dimensions, granular soil properties, bedrock depth, and seismic input motion characteristics. As shown, the proposed charts match well with available experimental data.     

AN ANALYTICAL HYSTERESIS MODEL FOR ELASTOMERIC SEISMIC ISOLATION BEARINGS

For the purpose of accurately predicting the seismic response of base-isolated structures, an analytical hysteresis model for elastomeric seismic isolation bearings is proposed. An extensive series of experimental tests of four types of seismic isolation bearings—two types of high-damping rubber bearings, one type of lead-rubber bearing and one type of silicon rubber bearing—was carried out with the objective of fully identifying their mechanical characteristics. The proposed model is capable of well-predicting the mechanical properties of each type of elastomeric bearing into the large strain range. Earthquake simulator tests were also conducted after the loading tests of the individual bearings. In order to show the validity of the proposed model, non-linear dynamic analyses were conducted to simulate the earthquake simulator test results. Good agreement between the experimental and analytical results shows that the model can be an effective numerical tool to predict not only the peak response value but also the force–displacement relationship of the isolators and floor response spectra for isolated structures. © 1997 by John Wiley & Sons, Ltd.     

橡胶砂芯组合砌块动力特性及隔震效应数值分析

在混凝土空心砌块的空腔中填入橡胶砂形成的组合砌块（RSMCB）可作为简易隔震层应用于村镇建筑防震减灾。建立RSMCB的三维数值分析模型,进行循环剪切试验以及隔震分析,研究不同橡胶砂配比、竖向压应力、盖板尺寸和盖板埋深对隔震砌块动刚度和阻尼比的影响,分析不同的上部配重、输入地震波、橡胶砂配比、盖板尺寸和铺设方式对RSMCB垫层隔震效果的影响。结果表明:（1）橡胶砂芯组合砌块应变软化现象明显。（2）RSMCB的水平动刚度随橡胶砂配比增大而减小,随盖板埋深、盖板尺寸以及竖向压应力的增大而增大。（3）阻尼比随橡胶砂配比、竖向压应力、盖板尺寸和埋深的增大而减小,橡胶砂芯组合砌块隔震消能效果显著。在隔震数值模拟中,输入加速度在经过橡胶砂芯组合砌块垫层过滤后均有不同程度的降低,且被过滤掉大部分高频波。隔震效应随着盖板尺寸的增大而减小,上部结构配重越大,隔震效应越明显,橡胶砂配比为30%时RSMCB垫层隔震效应更好。橡胶砂芯组合砌块符合在村镇欠发达地区低成本隔震的要求,表现出广阔的应用前景。     

Seismic isolation using granulated tire–soil mixtures for less‐developed regions: experimental validation

In this study, shaking‐table experiments were conducted with a novel seismic isolation system (Geotechnical Seismic Isolation, GSI) to validate its dynamic performance during earthquakes. This isolation technique uses shredded rubber–soil mixtures to reduce the structural response to earthquakes, and thus may not only provide economical structural safety for buildings in less‐developed regions, but could also consume a large amount of waste tires worldwide. The present experimental results show that the GSI system has potential to significantly mitigate seismic hazards. Copyright © 2013 John Wiley & Sons, Ltd.     

A Study of Piles during Earthquakes: Issues of Design and Analysis

The seismic response of pile foundations is a very complex process involving inertial interaction between structure and pile foundation, kinematic interaction between piles and soils, seismically induced pore-water pressures (PWP) and the non-linear response of soils to strong earthquake motions. In contrast, very simple pseudo-static methods are used in engineering practice to determine response parameters for design. These methods neglect several of the factors cited above that can strongly affect pile response. Also soil–pile interaction is modelled using either linear or non-linear springs in a Winkler computational model for pile response. The reliability of this constitutive model has been questioned. In the case of pile groups, the Winkler model for analysis of a single pile is adjusted in various ways by empirical factors to yield a computational model for group response. Can the results of such a simplified analysis be adequate for design in all situations?The lecture will present a critical evaluation of general engineering practice for estimating the response of pile foundations in liquefiable and non-liquefiable soils during earthquakes. The evaluation is part of a major research study on the seismic design of pile foundations sponsored by a Japanese construction company with interests in performance based design and the seismic response of piles in reclaimed land. The evaluation of practice is based on results from field tests, centrifuge tests on model piles and comprehensive non-linear dynamic analyses of pile foundations consisting of both single piles and pile groups. Studies of particular aspects of pile–soil interaction were made. Piles in layered liquefiable soils were analysed in detail as case histories show that these conditions increase the seismic demand on pile foundations. These studies demonstrate the importance of kinematic interaction, usually neglected in simple pseudo-static methods. Recent developments in designing piles to resist lateral spreading of the ground after liquefaction are presented. A comprehensive study of the evaluation of pile cap stiffness coefficients was undertaken and a reliable method of selecting the single value stiffnesses demanded by mainstream commercial structural software was developed. Some other important findings from the study are: the relative effects of inertial and kinematic interactions between foundation and soil on acceleration and displacement spectra of the super-structure; a method for estimating whether inertial interaction is likely to be important or not in a given situation and so when a structure may be treated as a fixed based structure for estimating inertial loads; the occurrence of large kinematic moments when a liquefied layer or naturally occurring soft layer is sandwiched between two hard layers; and the role of rotational stiffness in controlling pile head displacements, especially in liquefiable soils. The lecture concludes with some recommendations for practice that recognize that design, especially preliminary design, will always be based on simplified procedures.     

橡胶砂芯组合砌块垫层隔震性能试验研究

构造简单、成本低廉的简易隔震方法是提高经济欠发达农村地区的低矮房屋抗震性能的有效措施.文中提出一种新的简易隔震方法:橡胶砂芯组合砌块隔震垫层(RSMCBL).其主要原理为:上部结构通过离散的刚性盖板支承在一系列离散的由废旧轮胎颗粒-砂混合物构成的土柱上,橡胶砂柱被刚性砌块所侧向约束,以保证隔震层的强度和稳定性.针对此种...     

Seismic isolation by rubber–soil mixtures for developing countries

This paper proposes a promising seismic isolation method particularly suitable for developing countries, which makes use of rubber–soil mixtures. Apart from reducing the level of shaking in the horizontal direction, the distinctive advantage of the proposed method is that it can also significantly reduce the shaking level of vertical ground motion, to which an increasing attention has been paid in the earthquake engineering community. On the other hand, the use of scrap tires as the rubber material can provide an alternative way to consume the huge stockpile of scrap tires all over the world. Moreover, the low cost of this proposed seismic protection scheme can greatly benefit those developing countries where resources and technology are not adequate for earthquake mitigation with well‐developed, yet expensive, techniques. The proposed method has been demonstrated through a series of numerical simulations and a parametric study has also been carried out. Lastly, five important issues regarding the concept and feasibility have been discussed. Copyright © 2007 John Wiley & Sons, Ltd.     

高层隔震结构扭转分析

为研究高层隔震结构在地震作用下的扭转效应,用Etabs软件建立1个高层抗震结构和4个具有不同扭转特性的高层隔震结构的空间模型进行地震响应分析,以验证此原则上部结构质量中心与隔震层刚度中心的重合与否对结构扭转效应的影响程度,而后考察偏心高层隔震结构在偶然偏心地震作用下结构的扭转效应。结果表明:由于地震作用的减小,扭转效应要远小于原抗震结构,且隔震本身对于结构扭转效应的抑制效果要好于上述原则;扭转效应的减震率大于平动效应的减震率。布置在隔震层平面外围的铅芯橡胶隔震支座对隔震层的扭转有一定的控制作用。     

Dynamic properties of dry sand/rubber (SRM) and gravel/rubber (GRM) mixtures in a wide range of shearing strain amplitudes

Recycled tire rubber in mixtures with granular soils has been found recently applications in many civil engineering projects. The paper presents a synthesis of the dynamic strain-dependent properties of the commonly used soil/rubber mixtures, which are necessary in any seismic design. We focus herein on high-amplitude resonant column tests on granular soil/rubber mixtures with varying percentage of rubber. The most important characteristics of the dynamic properties of the mixtures like the confining pressure, the content of rubber, the grain-size characteristics of the physical portion of the mixtures as well as the relative size of soil versus rubber solids, are thoroughly discussed. We propose generic normalized shear modulus and damping ratio versus shearing strain amplitude curves for dry mixtures of sand/rubber (SRM) and gravel/rubber (GRM) appropriate for the engineering practice. Finally, we summarize analytical expressions for small-strain shear modulus and damping ratio for SRM and GRM proposed in previous studies.     

Optimization of the stochastic response of a bridge isolation system with hysteretic dampers

A bridge structure with a seismic isolation system consisting of rubber bearings and hysteretic dissipators is considered. The non-linear equations of motion are derived for the first mode vibration and the stochastic response to a white noise or a filtered white noise ground acceleration is determined by using the method of equivalent linearization. The sensitivity of the stochastic response to principal pàrameters for the bridge is investigated. Results of optimum design of the isolation system are presented.     

设置限位器双向隔震铁路桥梁车桥耦合动力响应研究

对铅芯橡胶双向隔震铁路桥梁在列车荷载作用下的力学性能进行了研究,针对双向隔震铁路桥梁中存在的问题,提出了设置限位器的解决方案,并对设置限位器的双向隔震铁路桥梁进行了车桥耦合动力响应分析。研究结果表明,采用常规隔震设计方法的铅芯橡胶支座在横桥向的初始刚度和屈服强度均不能满足规范要求,设置限位器后,双向隔震铁路桥梁的力学性能有了很大的改善,各项指标均满足列车运行安全性和平稳性要求。     

The optimum design of a base isolation system with frictional elements

A linear multistorey structure with a seismic base isolation system consisting of rubber bearings and frictional elements is considered. The non-linear equations of motion are derived for the first mode vibration and the stochastic response to a white noise ground acceleration is determined. Based on this response, suitable objective functions are defined and the optimum design of the isolation system is performed. It is shown that a small amount offriction increases the effectiveness of the system compared with the same system but without frictional elements.     

基于隔震就位连接技术的高层钢框架结构建筑抗震技术研究

以抗震设防7度区的某高层钢框架结构建筑为研究对象,研究基于隔震就位连接技术的高层钢框架结构建筑抗震技术。对研究对象采用抗震就位连接技术,通过在隔震层中设置弹性滑板支座、厚层橡胶隔震支座化黏滞阻尼器等隔震装置提升研究对象自振周期,降低其上部结构受地震作用的影响程度,增强抗震性能。对研究对象进行模态分析与时程分析,结果显示,所研究隔震技术在显著提升研究对象自振周期,使其摆脱场地特征周期的同时,也能够延缓扭转振型的形成,显著降低地震作用对研究对象上部结构的影响,说明所研究技术的运用具有较好的抗震效果。     

组合基础隔震在建筑工程中的应用

隔震作为一种新的抗震技术,已广泛应用于新建和加固的建筑工程,同时,许多新型式的支座得到了开发和应用。组合基础隔震是一种新的隔震设计思想,能充分应用不同类型隔震支座的特性,有效降低上部结构地震反应。本文介绍了组合基础隔震在某一工程中的应用,工程中使用的支座包括普通橡胶隔震支座、铅芯橡胶隔震支座和弹性滑板支座三种类型,对全部使用支座进行了常规检测,结构计算采用等效线性法、能量包络法和时程反应分析等方法,计算结果表明:组合基础隔震能有效降低上部结构的反应,隔震层的变形控制在安全范围之内。     

村镇隔震砌体结构振动台试验方案设计研究

为使铅芯橡胶支座隔震技术应用于村镇砌体结构,将隔震层设置于地坪以上,本文给出了隔震构造的具体做法。选取典型村镇2层未设构造柱的砖砌体结构房屋为试验原型,按1:2缩尺,设计有隔震层和无隔震层的振动台对比试验。首先采用反应谱分析方法,对隔震和非隔震结构分别选取三条地震波,然后通过数值分析,研究隔震和非隔震结构在输入不同地震波时的地震反应规律,根据数值模拟的分析结果设计结构振动台试验中的传感器布置和加载方案。本文设计的砌体隔震振动台试验方案已试验成功,可为振动台试验设计和研究提供参考。     

Intensity measures for the seismic response prediction of base-isolated buildings

Base isolation has become a widely applied technique for protecting buildings located in highly seismic areas. Due to the strongly non-linear constitutive behaviour typical of many isolation devices, the seismic response of base-isolated buildings is usually evaluated through non-linear dynamic analysis. In this type of analysis a suitable set of ground motions is needed for representing the earthquake loads and for exciting the structural model. Many methods can be found in the literature for defining the ground motions. When natural accelerograms are used, the methods mainly differ from each other based on the intensity measures used for scaling the records to the defined earthquake intensity level. Investigations have been carried out for evaluating the predictive capability of the intensity measures used in these methods: while many studies focused on ordinary buildings, only a few focused on base-isolated ones. The objective of this paper is to evaluate the most commonly used intensity measures, which are currently available in the literature, with respect to their capability to predict the seismic response of base-isolated buildings. Selected for the investigation are two frame structures characterized by a different number of storeys and base-isolated with systems having different properties. Two sets of accelerograms, consisting of ordinary and pulse-like near-fault records, are used in the analyses and in the evaluation of the intensity measures. Modified versions of existing intensity measures are also proposed, with the intent of improving the correlations between the considered intensity measures and response quantities.