Seismic response of light equipment in torsional buildings

This paper attempts to study the response of light equipment items attached to a multi-storey building that may be subjected to large torsional deformations during the earthquake excitation. To account for the effect of torsion and translation, each storey of the building is modelled as two degrees of freedom (DOFs), with one DOF for translation and the other for torsion. Perturbation techniques are employed to find closed-form expressions for the modal properties of the combined system in terms of the properties of the individual subsystems. The interaction between the equipment and building is studied for both tuned and detuned modes of vibration. Modal synthesis results obtained using the present technique based on the complete quadratic combination (CQC) method are compared with solutions obtained by other methods.     

多维地震作用下偏心结构的磁流变阻尼器半主动控制

理论研究与震害经验表明,地震时结构会产生不可忽略的平动与扭转耦合的空间振动。本文提出了基于线性最优控制理论的部分状态反馈次优控制策略和基于遗传算法的控制策略,以Marlab和Simulink为平台,采用磁流变阻尼器对双向水平地震作用下的偏心结构平．扭耦联反应进行半主动控制。对-6层双向偏心框架结构进行控制效果仿真分析的结果证明,本文提出的2种控制策略是有效的。     

Seismic response of light internal equipment in base-isolated structures

The seismic response of light secondary systems in a building is dependent on the response of the primary structural system to the seismic ground motion with the result that very high accelerations can be induced in such secondary systems. This response can be reduced through the use of aseismic base isolation which is a design strategy whereby the entire building can be decoupled from the damaging horizontal components of seismic ground motion by the use of some form of isolation system. The paper presents a theoretical analysis of the response of light equipment in isolated structures and a parallel experimental programme both of which show that the use of base isolation can not only attenuate the response of the primary structural system but also reduce the response of secondary systems. Thus, the design of equipment and piping in a base-isolated building is very much simpler than that for a conventionally founded structure: inelastic response and equipment-structure interaction need not be considered and multiple support response analysis is rendered unnecessary. Although an isolation system with linear elastic bearings can reduce the acceleration of the structure, it may be accompanied by large relative displacements between the structure and the ground. A system using lead-rubber hysteretic bearings, having a force-displacement relation which is approximately a bilinear loop, can reduce these displacements. A parallel experimental programme was carried out to investigate the response of light equipment in structures isolated using lead-rubber bearings. The experimental results show that these bearings can dissipate energy and limit the displacement and acceleration of the structure but are less effective in reducing the accelerations in the internal equipment. The results of both the analysis and the tests show that base isolation is a very effective method for the seismic protection of light equipment items in buildings.     

Accidental torsion in buildings due to base rotational excitation

This investigation is concerned with accidental torsion in buildings resulting from rotational excitation (about a vertical axis) of the building foundations as a result of spatially non-uniform ground motions. Because of this accidental torsion, the displacements and deformations in the structural elements of the building are likely to increase. This increase in response is evaluated using actual base rotational excitations derived from ground motions recorded at the base of 30 buildings during recent California earthquakes. Accidental torsion has the effect of increasing the building displacements, in the mean, by less than 5 per cent for systems that are torsionally stiff or have lateral vibration periods longer than half a second. On the other hand, short period (less than half a second) and torsionally flexible systems may experience significant increases in response due to accidental torsion. Since the dependence between this increase in response and the system parameters is complex, two simplified methods are developed for conveniently estimating this effect of accidental torsion. They are the ‘accidental eccentricity’ and the ‘response spectrum’ method. The computed accidental eccentricities are much smaller than the typical code values, 0.05bb or 0.1b, except for buildings with very long plan dimensions (b ≥ 50 m). Alternatively, by using the response spectrum method the increase in response can be estimated by computing the peak response to each base motion independently and combining the peak values using the SRSS rule.     

Translation,torsion, and wave excitation of a building during soil–structure interaction excited by an earthquake SH pulse

A two-dimensional (2-D) model of a building supported by a rectangular, flexible foundation embedded in the soil is analyzed. The building, the foundation, and the soil have different physical properties. The building is assumed to be linear, but the soil and the foundation can experience nonlinear deformations. While the work spent for the development of nonlinear strains in the soil can consume a significant part of the input wave energy—and thus less energy is available for the excitation of the building—the nonlinear response in the soil and the foundation does not signficantly alter the nature of excitation of the base of the building. It is noted that the response of a building can be approximated by translation and torsion of the base for excitation by long, strong motion waves.     

动臂式施工塔吊TMD地震响应控制与分析

虽然建筑施工周期内地震致险概率并不高,但是由于塔吊使用极其广泛,塔吊致险概率并不低于建筑结构,故而针对塔吊的减震措施亟需研究。本文以某实际超高层建筑施工使用的动臂式塔吊为研究对象,根据塔吊自身和附着于超高层建筑后的动力特性,研究了TMD装置的不同方案对塔吊地震响应的控制效果。结果表明:① TMD装置对于属于高耸结构的塔吊减震控制非常有效;② 设置在塔身顶部的双向TMD不仅可以有效减小塔身偏摆,也可以间接有效地控制起重臂的竖向振动;③ 由于超高层建筑-塔吊结构高阶振型影响明显,此TMD装置对塔吊塔身控制效果不稳定,但对于起重臂仍能起到良好的控制作用,故而此TMD装置可以使用在附着在超高层建筑上的施工塔吊,对于塔身的振动控制仍需进一步研究。     

Seismic response of the superstructure and attached equipment in a base-isolated building

Base isolation can be used both to protect the structure and simultaneously to reduce the response of internal equipment. The seismic response of a base-isolated structure has been studied through the shaking table test or numerical calculation before. The object of this paper is to analyse a base-isolated structure by a different analytical approach—perturbation analysis. Recognizing that the horizontal stiffness of an isolation system is much smaller than that of the superstructure, the mathematical expressions of the modal properties of base-isolated structures are derived by the perturbation method in terms of the modal properties of the superstructure and used to study the dynamic response of superstructure and attached equipment in the base-isolated building. This study shows that the first base-isolated mode not only controls the superstructural response but also dominates the response of high-frequency attachment. The contribution of higher modes to the response of base-isolated structures, which is proportional to the horizontal stiffness of isolation system, is very small.     

地震模拟振动台振动对建筑物中人体的舒适感的影响分析

本文给出了一种地震模拟振劝台振运对建筑物中人体的舒适感影响的分析方法，并结合实例进行了具体分析。文中给出的分析方法和实例计算结果对于地震馆的设计有一定参考价值。     

大连国贸大厦高层水箱风振控制研究及应用

本文针对一实际工程结构———大连国贸大厦,研究了风荷载作用下调液阻尼器的减振控制作用。首先建立了该结构的简化计算模型,利用Davenport谱给出了模拟风荷载。在大厦所处位置进行多次测量,得到实际风速样本。选取其中风速较大、过程平稳的样本,对实测样本和模拟样本的频谱进行比较,验证了模拟风荷载的合理性。文中将大厦顶层的生活水箱设计成可减小结构位移及加速度反应的控制装置TLD(tuned liqu id damper),根据不同工况进行数值计算,选出最佳方案,设计出可实际应用、并达到一定减振效果的减振水箱,以提高大厦在风荷载作用下的舒适度。     

Damped resonant appendages to increase inherent damping in buildings

It is demonstrated that the addition of a tuned mass-spring-dashpot system with a relatively small mass and a high damping ratio can be an effective way to increase the inherent damping characteristics of buildings and reduce, thus, their response to earthquake excitations. The demonstration is based on a theoretical formulation and on numerical and experimental studies that confirm this formulation. In the theoretical formulation, it is shown first that, if certain conditions are satisfied, the damping ratios in two of the modes of the system that is formed by a building and an appendage in resonance are approximately equal to the average of the corresponding damping ratios of the building and the appendage. Based on this finding, it is then shown that an attached appendage with a high damping ratio and tuned to the fundamental frequency of a building may increase the damping ratio in the fundamental mode of the building to a value close to half the damping ratio of the appendage. In the numerical study, the response of a ten-storey shear building is analysed under two different earthquake ground motions with and without the proposed resonant appendages. Appendages with damping ratios of 20 and 30 per cent are considered. In this study, it is found that under one of the ground motions the maximum displacement of the building's roof is reduced 30 per cent with the appendage with 20 per cent damping and 39 per cent with the one with 30 per cent damping. Similarly, with these two appendages the building's base shear is reduced 31 and 41 per cent, respectively. In the experimental study, a wooden three-storey structural model is tested in a shaking table with and without an appendage designed and constructed to have a damping ratio of 53-5 per cent. The test is conducted under random and sinusoidal base excitations. In the shaking table test under random excitation, the attached appendage reduces the response of the model 38-6 per cent, while in that under sinusoidal vibration 45-2 per cent.     

Combined analysis and test of earthquake-resistant circuit breakers

Following the severe earthquake damage at San Fernando in 1971, it became of technical and perhaps psychological importance to demonstrate that properly re-designed electrical equipment is able to withstand even worse transient vibration phenomena which can be produced in an earthquake simulator laboratory. This has been accomplished for one column of a 500 kV gas circuit breaker and the test results are used to qualify the much larger original 3-column assembly by means of a computer-aided structural analysis. Since the equipment exhibited some closely spaced, cross-coupled modes of vibration, a valuable comparison could be obtained between the effects produced by El Centro 1940 ground acceleration and those for a more purposeful sine beat vibration input. The latter can be adjusted to produce definite stresses and fatigue effects in specific parts of the equipment due to quasi-resonance response.     

使用偏心支撑减小不规则高层建筑的扭转振动效应

文章对比分析了一个不规则高层钢筋混凝土框-剪结构和在原结构基础上增设偏心支撑后的新结构的抗震性能,比较了它们的自振特性以及层间位移等地震作用效应。针对不规则高层建筑在地震作用下不可避免的扭转振动问题,提出在结构中适当地增设偏心支撑来减小结构的扭转振动效应及其它结构地震反应这种简单可行、经济适用的方法。     

Experimental study of a hybrid platform for high‐tech equipment protection against earthquake and microvibration

This paper presents an experimental study to explore the possibility of using a hybrid platform to ensure the functionality of high‐tech equipment against microvibration and to protect high‐tech equipment from damage when an earthquake occurs. A three‐storey building model and a hybrid platform model were designed and manufactured. The two‐layer hybrid platform, on which the high‐tech equipment is placed, was installed on the first floor of the building to work as a passive platform aiming at abating acceleration response of the equipment during an earthquake and functioning as an actively controlled platform that intends to reduce velocity response of the equipment under a normal working condition. For the hybrid platform working as a passive platform, it was designed in such a way that its stiffness and damping ratio could be changed, whereas for the hybrid platform functioning as an active platform, a piezoelectric actuator with a sub‐optimal velocity feedback control algorithm was used. A series of shaking table tests, traffic‐induced vibration tests and impact tests were performed on the building with and without the platform to examine the performance of the hybrid platform. The experimental results demonstrate that the hybrid platform is feasible and effective for high‐tech equipment protection against earthquake and microvibration. Copyright © 2007 John Wiley & Sons, Ltd.     

Earthquake response analysis of multistorey buildings including foundation interaction

An efficient method, based on the Ritz concept, for dynamic analysis of response of multistorey buildings including foundation interaction to earthquake ground motion is presented. The system considered is a shear building on a rigid circular disc footing attached to the surface of a linearly elastic halfspace. In this method, the structural displacements are transformed to normal modes of vibration of the building on a rigid foundation. The analysis procedure is developed and numerical results are presented to demonstrate that excellent results can be obtained by considering only the first few modes of vibration. As the number of unknowns are reduced by transforming to generalized co-ordinates, the method presented is much more efficient than direct methods.     

同高宽比弹塑性隔振建筑结构的抗震性能试验研究

研究以某同高宽比弹塑性隔振建筑结构为工程实例,采用SAP2000软件构建了同高宽比弹塑性隔振建筑结构的有限元模型,并进行了模型材料和相应参数选取;在此基础上,利用循环侧推分析隔振建筑结构中各构件的内力及变形情况,建立隔震建筑结构损失模型,同时为了提高其抗震性评估精准度,采用动力弹塑性顶层位移情况反应隔震建筑结构的抗震性能。工程实例分析结果表明,普通建筑结构主要控制层间位移响应,无论是在8度频发地震作用下还是在8度特大地震作用下,隔震建筑结构的顶部加速度响应均远远小于普通建筑结构,且仍然处于完全弹性工作状态,结构构件并未发生破坏,保证了建筑内部人们的生命财产安全,同时便于震后快速修复,相比于普通建筑结构,同高宽比弹塑性隔振建筑结构的抗震性能更优。     

各向异性介质中扭转波分裂的实验观测

实验室可以产生两种振动模式的横波,一种是剪切振动,另一种是扭转振动,在各向同性介质中两模式的横波速度是相同的,但它们的振动特性不一样,前者表现出很强的偏振特性,后者为无偏振特性.实验测试表明无偏振特性的扭转波在各向异性介质中传播时也会出现两种速度不同的扭转波,速度值与剪切横波的快慢横波速度值一致.用扭转波换能器接收时,这快慢扭转波的波形振幅不受各向异性方位影响.通过两块均匀的各向异性样品,用实验观测揭示了各向异性介质中扭转波的一些传播特征.     

各向异性介质中扭转波分裂的初步实验观测

实验室可以产生两种振动模式的横波,一种是剪切振动,另一种是扭转振动.本文利用扭转换能器观测了扭转横波在各向异性样品中的传播特性.实验表明,无偏振方向的扭转波在各向异性介质中会以两种不同速度传播,并出现波的分裂现象,其快慢波的速度值与剪切横波的快慢横波速度一致.用扭转波换能器接收时,快慢扭转波的波形振幅不受各向异性方位影响,表现为无方向性.通过两块不同来源的均匀各向异性样品,用实验观测方式初步揭示了各向异性介质中扭转波的一些传播特征.     

多向地震作用下隔震配电建筑物的非线性动力反应分析

本文结合我国首例将隔震技术应用于变电建筑物的工程———西安市330kV西北郊变电站110kV配电楼工程,研究隔震结构在多向地震作用下的非线性动力反应,并把计算结果与单向地震作用的结果进行分析比较。结果表明,本工程采用隔震技术是可行的,采用基础隔震措施可有效地控制结构的偏心扭转效应,使屋面层及楼面层的运动规律趋于一致,建筑物整体趋于平动,同时还可显著降低上部结构及电气设备的地震作用,并且在多向地震作用下的结果比单向地震作用时的隔震效果更加合理。目前该工程已竣工投产,本文工作将为隔震技术在电力系统的更广泛应用打下一个良好的基础。     

Green's function of support-excited structures with tuned-mass dampers derived by A perturbation method

A tuned-mass damper is a small damped spring-mass system which vibrates in resonance with the main structure to which it is attached so as to be able to dissipate vibration energy and reduce the structural response. In this paper, explicit forms of Green's function for the transient response of main structures equipped with the tuned-mass damper and subjected to support excitation are derived by perturbation techniques and provide an insight into the characteristics of the damper. It is found that there exists a critical damping level for the tuned-mass damper. If the damper damping is higher than this critical damping level, increasing the damper damping will enhance the structural response. When the damper damping is below this critical value, something called ‘beat phenomenon’ occurs where the structure will have a smaller response in the first beat cycle, but have a higher rebound in the following beat cycles.     

Ambient vibration tests of a seven-story reinforced concrete building in Van Nuys, California, damaged by the 1994 Northridge earthquake

Results of two detailed ambient vibration surveys of a 7-story reinforced concrete building in Van Nuys, California, are presented. Both surveys were conducted after the building was severely damaged by the 17 January 1994, Northridge earthquake (M_L=5.3, epicenter 1.5 km west from the building site) and its early aftershocks. The first survey was conducted on 4 and 5 February 1994, and the second one on 19 and 20 April 1994, about one month after the 20 March aftershock (M_L=5.3, epicenter 1.2 km north–west from the building site). The apparent frequencies and two- and three-dimensional mode shapes for longitudinal, transverse and vertical vibrations were calculated. The attempts to detect the highly localized damage by simple spectral analyses of the ambient noise data were not successful. It is suggested that very high spatial resolution of recording points is required to identify localized column and beam damage, due to the complex building behavior, with many interacting structural components. The loss of the axial capacity of the damaged columns could be seen in the vertical response of the columns, but similar moderate or weak damage typically would not be noticed in ambient vibration surveys. Previous analysis of the recorded response of this building to 12 earthquakes suggests that, during large response of the foundation and piles, the soil is pushed sideways and gaps form between the foundation and the soil. These gaps appear to be closing during “dynamic compaction” when the building site is shaken by many small aftershocks. The apparent frequencies of the soil–foundation–structure system appear to be influenced significantly by variations in the effective soil–foundation stiffness. These variations can be monitored by a sequence of specialized ambient vibration tests.