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。     

不规则框架结构的组合隔震反应分析

为研究不规则框架隔震结构的地震反应,分别对一个传统抗震结构、一个铅芯叠层橡胶支座隔震结构和四个组合隔震结构(隔震层由铅芯支座和滑板支座组成)进行了弹塑性地震反应时程分析,研究隔震支座参数对隔震效果的影响。结果表明:采用组合隔震技术时,合理选择隔震层的铅芯支座布置位置、滑板支座的摩擦系数和铅芯叠层橡胶支座的型号,可以有效地降低上部结构的扭转效应;对于不规则的建筑隔震结构,为减小地面运动带来的扭转效应,建议采用由铅芯支座和滑板支座组合而成的隔震层,可对上部结构的扭转起到很好的抑制作用。     

偏心多塔结构同基础隔震效果分析

偏心隔震结构在地震动作用下,除发生平动外,还将发生平-扭耦联的反应,从而使震害加重,尤其是隔震层较易发生破坏。本文利用自行编制的分析程序,对偏心多塔隔震结构进行了数值分析,在此基础上,提出偏心多塔结构同基础隔震的设计方案。数值模拟计算结果表明,对偏心单塔隔震结构,在地震作用下采用多塔同基础隔震的方案,能大幅度降低结构隔震层的扭转反应,其中最大扭转加速度最少降低55%,最大扭转角最少降低84%。可见,在条件许可时,将相邻偏心单塔结构采用同基础隔震的方案,对提高隔震效果是有利的。     

平面不规则基础隔震结构抗扭设计研究

针对平面不规则结构在水平地震作用下的振动特性,通过调整隔震层隔震支座的布置,得到3种不同工况的隔震层刚心与上部结构质心、刚心相对位置关系,分别以楼层位移和层间位移为指标的扭转位移比,作为平面不规则基础隔震结构扭转响应指标,利用弹塑性时程分析方法,通过对3种不同工况的扭转指标对比分析研究,提出适用于平面不规则基础隔震结构的抗扭设计方法。结果表明：对于平面不规则结构,应在保证隔震层扭转位移比小于1.2的基础上,使隔震层的刚心和上部结构的刚心分别位于上部结构质心的两侧,可有效控制上部结构的扭转。     

层间隔震偏心结构双向地震耦合响应研究

建立双向地震作用下层间隔震双向偏心结构侧扭耦联分析模型;考虑上部结构及下部结构的弹塑性模型,隔震支座采用双向耦合非线性Bouc-wen模型模拟;分析偏心参数对层间隔震双向偏心结构的影响规律;评价双向地震作用下我国抗震规范给出的扭转影响系数静力预测值的准确性。结果表明,双向地震作用下设置中间柔性隔震层可以减小上\,下部结构扭转的耦连效应;下部结构存在双向偏心会对隔震层和下部结构扭转反应带来不利影响;LRB耦合效应对层间隔震地震响应影响较小;当下部结构偏心率较大时现行规范计算扭转系数偏于不安全。     

隔震结构地震波选择方法研究

隔震结构的设计一般是采用时程分析算法进行的,故选择合适的地震波十分重要。而目前设计人员往往依据隔震前模型进行隔震设计,存在一定的不合理性。本文依据隔震前和隔震后两种不同的选波模型和对地震波反应谱控制频段的不同提出三种选波方案:方案一为对所选地震动的加速度反应谱在场地特征周期Tg附近的平台段和隔震前结构基本周期T1a所在下降段的控制;方案二为对在Tg附近的平台段和隔震后结构基本周期T1b所在下降段的控制;方案三为对所选地震动的加速度反应谱在Tg附近的平台段和隔震前、后两结构基本周期段的分别控制。通过对某五层混凝土框架隔震结构分别输入三种方案所选的20条地震动记录,对比隔震结构的水平向减震系数的离散性,分析罕遇地震作用下支座位移的合理性,证明方案三可以取得最优的计算结果,并提出一种基于规范设计反应谱不同频段的三频段控制选波方法。此外选取5个不同结构形式的工程算例验证三频段控制选波方法对于一般结构的适用性。     

基础隔震单层偏心结构扭转地震反应分析

采用微分型滞回恢复力模型模拟隔震支座的恢复力特性，对基础隔震单层偏心结构的扭转地震反应进行分析，研究隔震系统偏心距和上部结构偏心距对结构扭转反应的影响。结果表明，采用隔震技术可以显著降低隔震结构的扭转地震反应。     

上部结构与基础隔震层偏心对结构地震响应的影响

随着基础隔震技术的发展,我国在高烈度地区广泛开展基础隔震技术的工程应用必将成为一种趋势,但由于建筑功能和建筑造型的丰富多彩,结构的质量中心和刚度中心也趋于分布不均匀,以三层的钢框架结构为分析模型,利用结构分析软件Sap2000对上部结构质量中心和隔震层质量中心、刚度中心分布不均匀的三种方案进行单向水平地震作用下的非线性时程分析,分析结果表明:上部结构质量中心与隔震层质量中心存在偏心距对结构的扭转效应以及地震响应有较大的影响,减小上部结构的偏心距对调整结构的水平地震响应的影响成效最为显著;对于隔震层而言,隔震层的刚度中心偏心距较质量中心偏心距对上部结构的影响更大,有效控制隔震层刚度中心的偏心距在隔震设计中会更加有效。     

不对称大底板多塔楼隔震结构的地震响应分析

针对不对称大底板多塔楼隔震结构体系,通过建立地震响应的动力分析简化模型,推导出不对称大底板多塔楼隔震结构体系地震作用下的运动方程。对一实际的不对称大底板多塔楼隔震结构进行地震响应仿真分析,探讨塔楼质量偏心率和塔楼质量比对结构周期比、位移比和层剪力比的影响。结果显示,不对称大底板多塔楼隔震结构扭转角主要由隔震层产生;与不隔震结构相比,不对称大底板多塔楼隔震体系的扭转角减小,可取得较好的减震效果;塔楼与底板的位置分布和质量分布会影响体系的扭转效应和减震效果,应尽量使塔楼的质心与底板质心重合,塔楼质量分布均匀,以减小结构的扭转效应,提高减震效果。     

某扩建工程层间隔震结构分析与设计

针对某工程存在竖向不规则、楼层承载力突变以及扭转不规则的复杂问题,采用层间隔震技术进行了调整。通过合理布置叠层橡胶支座,使隔震层的刚心与质心重合,并分别进行了基础隔震和层间隔震的计算分析对比。分析表明:基础隔震只能解决扭转不规则问题,但层间隔震能有效的控制其复杂程度,同时提高了结构的抗震性能。     

Accuracy of elastic finite differences in smooth media

The accuracy of finite-difference schemes of the 2nd and 4th order in 2-D and 3-D regular rectangular grids is studied. The method of designing the schemes and estimating their accuracy is proposed. The paper is devoted to the point schemes, expressed in terms of the discretized (point) values of the wave field and material parameters. Only the common schemes applicable in smooth parts of seismic models, outside structural interfaces, are taken into account. Finite differences at structural interfaces are studied elsewhere.The inaccuracy of finite-difference schemes is governed, above all, by the error in the phase velocity, caused by discretization. This error is estimated for several finite-difference schemes. It is explicitly dependent on the direction of propagation and on wave polarization. The maximum phase-velocity error over all directions of propagation enables the accuracy of the individual schemes to be appreciated in order to select the best one. The proposed approach is general and applicable to other finite-difference schemes, for example, of the 6th and higher orders.     

Study on the seismic performance of a double spherical seismic isolation bearing

In this paper, the configuration and working mechanism of the recently developed double spherical seismic isolation （DSSI） bearing are introduced in detail. Then, vertical displacement of the DSSI bearing due to sliding on a spherical surface is analyzed. The results from seismic performance testing of the bearing are given, and a numerical analysis of a four span continuous girder bridge is performed. The numerical analysis compares the influence of three different bearing arrangement schemes on the structural seismic response, and the results show that the DSSI bearing is effective in increasing the vertical load bearing capacity, reducing the vertical displacement, and controlling the energy dissipation capacity within a certain range.     

Iterative methods for non-classically damped dynamic systems

Non-classically damped structural systems do not easily lend themselves to the modal superposition method because these systems yield coupled second-order differential equations. In this paper, a variety of new computationally efficient iterative methods for determining the response of such systems are developed. The iterative approaches presented here differ from those presented earlier in that they are computationally superior and/or are applicable to the determination of the responses of broader classes of structural systems. Numerical examples, which are designed to evaluate the efficacy of these schemes, show the vastly improved rates of convergence when compared to earlier iterative schemes.     

A comparison of single‐run pushover analysis techniques for seismic assessment of bridges

Traditional pushover analysis is performed subjecting the structure to monotonically increasing lateral forces with invariant distribution until a target displacement is reached; both the force distribution and target displacement are hence based on the assumption that the response is controlled by a fundamental mode, that remains unchanged throughout. However, such invariant force distributions cannot account for the redistribution of inertia forces caused by structural yielding and the associated changes in the vibration properties, including the increase of higher‐mode participation. In order to overcome such drawbacks, but still keep the simplicity of using single‐run pushover analysis, as opposed to multiple‐analyses schemes, adaptive pushover techniques have recently been proposed. In order to investigate the effectiveness of such new pushover schemes in assessing bridges subjected to seismic action, so far object of only limited scrutiny, an analytical parametric study, conducted on a suite of continuous multi‐span bridges, is carried out. The study seems to show that, with respect to conventional pushover methods, these novel single‐run approaches can lead to the attainment of improved predictions. Copyright © 2007 John Wiley & Sons, Ltd.     

Numerical homogenization-based seismic assessment of an English-bond masonry prototype: Structural level application

A multiscale strategy is evaluated at a structural level for the analysis of unreinforced masonry structures. The mechanical characterization of the masonry is deduced from homogenization-based micro-scale finite element (FE) models. The derived data are here employed at a structural level via a discrete FE model. The discrete FE model is composed of quadrilateral rigid plates interconnected through vertical and horizontal interfaces. On the interfaces, between adjoining discrete elements, a model that accounts for the in- and out-of-plane behavior of masonry, with damage and plasticity, is adopted. Such interfaces represent the material pre- and post-peak regimes, its orthotropy, and, depending on the micro-model assumed, account by three-dimensional shear effects that are especially important for multi-leaf walls and complex regular textures. The discrete model has been implemented in an advanced structural analysis software where powerful built-in features as the arc-length method, line-search algorithm, and implicit or explicit solver schemes are available. The multi-scale model is applied for the dynamic study of a small English-bond masonry house prototype subjected to a series of consecutive earthquake records. Detailed comparisons between the experimental and numerical data are presented, including the results obtained through a continuous total strain rotating crack model. Quasi-static and dynamic analyses are conducted. Results demonstrate that when enough experimental information is available on the masonry components under tension, shear, and compression regimes, the approach predicts well the seismic structural response in terms of time-history displacements, seismic capacity, and damage patterns. The required computational cost (CPU time) is very attractive.     

ACTIVE AND SEMI-ACTIVE CONTROL OF STRUCTURES UNDER SEISMIC EXCITATION

Considerable effort has been devoted to develop passive and active methods for reducing structural response under seismic excitations. Passive control approaches have already found application in practice. Active control methods, on the other hand, are being vigorously examined for application to civil structures. This paper investigates the application of active and semi-active control schemes to structures subjected to seismic excitations, and it focuses on the use of the sliding-mode control approach for the development of the control algorithms. The possibility of control redundancy with respect to the number of sliding constraints is taken into account in the controller design. Several sets of numerical results are obtained for a realistic 10-storey shear building, subjected to earthquake-induced ground motions and controlled by active or semi-active control schemes. It is observed that both active and semi-active control schemes can be used to reduce the dynamic response. Active control performs very effectively in reducing the structural response, but the required control force values can be quite large to limit its practical application in the case of large and massive buildings. Active regulation of linear viscous dampers was found unnecessary for this type of structural system, as it did not induce any significantly more reduction in the response than the dampers acting passively. On the other hand, it is shown that active regulation of stiffness can be used with advantage to reduce the response. © 1997 by John Wiley & Sons, Ltd.     

结构动力学方程的显式积分格式

本文从空间解耦有限元常微分方程组出发，探讨了结构动力学方程的高精度显式积分格式。通过被积函数的拉格朗日多项式内插和分部积分导出了波动数值模拟的一组显式时步积分公式。这组公式是时间和空间解耦的，即波场内任一离散节点在任一时刻的波动数据可以用这组公式依据该节点及其邻近节点在该时刻之前的n＋1个时刻的波动数据显式地算出（n为非负整数），阐明了这组公式的如下特点：第一，其截断误差的量级不超过0（Δt^n＋3），Δt为时间步距。第二，它不仅可用于线性波动的数值模拟，而且可用于本构方程具有强非线性情形。第三，这组公式也可推广应用于一系列数学物理暂态问题的数值求解。针对一个简单的时不变系统初步分析了此组积分格式的稳定性。但是，对其稳定性尚需作进一步研究。     

瑞利阻尼介质有限元离散模型动力分析的数值稳定性

本文针对几种有一般阻尼的动力系数数值积分的显式方法，讨论了阻尼对稳定性的影响，并建议了瑞利阻尼介质有限元离散模型中动力分析数值稳定性的实用稳定判别方法。     

Collocation,dissipation and [overshoot] for time integration schemes in structural dynamics

The concept of collocation, originally used by Wilson in the development of dissipative algorithms for structural dynamics, is systematically generalized and analysed. Optimal schemes within this class are developed and compared with a recently proposed family of dissipative algorithms, called a methods. The α methods are found to be superior on the basis of standard measures of dissipation and dispersion. It is pointed out that the tendency to overshoot is an important and independent factor which should be considered in an evaluation of an implicit scheme. The basis for studying overshoot is discussed and the optimal collocation and α methods are compared. It is found that pathological overshooting is an inherent property of collocation schemes, whereas the overshooting characteristics of the α methods are good.     

Newmark精细积分格式及其在地震反应分析中的应用

在Newmark精细直接积分法的基础上,应用高斯积分与精细指数运算,提出该方法的两种逐步积分格式。文中对两种积分格式的稳定性和精度进行了分析。经过分析比较,第1种逐步积分格式计算精度较高,其稳定性明显地满足算法稳定性分析的条件;而第2种积分格式计算精度相对较差,且是不稳定的。因此本文将第1种积分格式应用于结构的地震反应分析中。算例表明,该逐步积分格式对地震作用有很好的适应性。