新型钢弹簧浮置板道床隔振试验与数值分析研究

提出了一种附加位移放大杠杆的新型钢弹簧浮置板道床隔振装置并进行了理论分析,给出了该装置基于位移放大倍数的阻尼力和耗能计算公式。同时设计制作了附加3倍位移放大的新型钢弹簧浮置板道床隔振装置并进行了地铁振动测试,试验结果表明:该装置隔振效果显著。通过建立新型钢弹簧浮置板道床隔振系统有限元分析模型,数值模拟结果与实测振动数据可进行较好的吻合,结果表明:新型钢弹簧浮置板道床隔振系统能有效地减小结构的动力响应。     

减震装置提高防护门抗力的理论分析

在端部采用减震装置可提高防护门的抗力,而且该减震装置会影响防护门的振动特性和动力响应,因此对其在爆炸载荷作用下的动态响应分析非常重要。本文建立了具有减震装置防护门的计算模型,推导出了结构在爆炸荷载作用下的解析计算式,分析了化爆和核爆荷载作用下减震装置对振动的影响规律。结果表明,由弹性支承和阻尼器组成的减震装置可以明显降低结构的动力系数,从而提高防护门的抗力,但提高的效果与弹性支承的刚度、载荷作用时间的长短以及振动衰减的程度相关。     

Critical damping of structures with elastically supported visco‐elastic dampers

This paper presents a new formulation for critical damping of structures with elastically supported visco‐elastic dampers.Owing to the great dependence of damper performance on the support stiffness, this model is inevitable for reliable modelling of structures with visco‐elastic dampers. It is shown that the governing equation of free vibration of this model is reduced to a third‐order differential equation and the conventional method for defining the critical damping for second‐order differential equations cannot be applied to the present model. It is demonstrated that the region of overdamped vibration is finite in contrast to that (semi‐infinite) for second‐order differential equations and multiple critical damping coefficients exist. However, it turns out that the smaller one is practically meaningful. Copyright © 2001 John Wiley & Sons, Ltd.     

台湾某钢框架大楼采用阻尼器补强结构减震效果评析

阻尼器是一种效果良好的减震装置,将阻尼器安装于结构中能够适时为结构体系提供阻尼力,从而减小地震作用对结构的破坏。黏滞阻尼器对振动的反应比较敏感,在结构受到较小振动时就可以发挥其减震效果,其阻尼力会随着振动周期和使用状态温度的不同而变化。当地震发生时,安装在结构中的阻尼器会消减地震作用,降低传导到主结构体系的地震能量,减小结构相对位移。本文介绍了黏滞阻尼器的工作原理和安装有黏滞阻尼器的结构体系的阻尼比的计算方法,对减震结构的减震效果的评析方法做出探讨,并以一安装有黏滞阻尼器的台湾某既有钢框架结构为例,分析了(1)该结构在遭受地震作用时的地震反应;(2)该结构体系在不同地震作用水平时的阻尼比,包括主体结构阻尼比和黏滞阻尼器阻尼比;(3)结构安装黏滞阻尼器后的减震效果。实例对本文的减震评析方法和减震效果进行了说明和分析,计算及分析结果表明利用黏滞阻尼器加固既有结构能够取得较好的减震效果,本文所提减震效果评析方法是一种实用有效的评析方法,对类似工程的减震评析具有一定的参考价值。     

中间柱型黏滞阻尼器装配式钢框架减震性能研究

为研究黏滞阻尼器与装配式钢框架中间柱式连接的整体抗震性能,且跨内不同位置的减震效率,设计出3个足尺的三层装配式钢框架结构:无控结构、柱靠边布置结构和柱居中布置结构,利用振动试验台对其进行测试,对比研究模型结构的地震反应,并采用有限元软件SAP2000进行模拟验证。试验和数值模拟结果均表明:无控结构在地震输入下地震反应较大,对其附设黏滞阻尼器后,地震响应得到有效控制,且柱居中布置结构的附加阻尼比高于柱靠边布置结构,其减震效果更优。     

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.     

应县木塔环境振动试验

对于复杂的塔状古建筑物,建立一个合适的简化的数学模型是不易实现的。与强迫振动试验相比,环境振动试验比较简单、方便,所确定出的小振幅水平下的木塔结构动力特性具有足够的精度。本文首先结合应县木塔结构环境振动测试实例对环境振动测试方法作了简要介绍,并采用随机信号数据频域分析方法对测试数据进行了分析,确定木塔结构的自振频率。同时,依据不同测点在固有频率处响应的比及零迟时互相关函数确定木塔结构的振型。最后,本文依据自功率谱和互功率谱采用半功率点法计算各振型的阻尼比。本文分析结果表明,在两水平方向上木塔的振动特性存在些微差异,第一振型阻尼比较第二振型阻尼比大。     

Loss of energy dissipation capacity from the deadzone in linear and nonlinear viscous damping devices

In a viscous damping device under cyclic loading, after the piston reaches a peak stroke, the reserve movement that follows may sometimes experience a short period of delayed or significantly reduced device force output. A similar delay or reduced device force output may also occur at the damper’s initial stroke as it moves away from its neutral position. This phenomenon is referred to as the effect of “deadzone”. The deadzone can cause a loss of energy dissipation capacity and less efficient vibration control. It is prominent in small amplitude vibrations. Although there are many potential causes of deadzone such as environmental factors, construction, material aging, and manufacture quality, in this paper, its general effect in linear and nonlinear viscous damping devices is analyzed. Based on classical dynamics and damping theory, a simple model is developed to capture the effect of deadzone in terms of the loss of energy dissipation capacity. The model provides several methods to estimate the loss of energy dissipation within the deadzone in linear and sublinear viscous fluid dampers. An empirical equation of loss of energy dissipation capacity versus deadzone size is formulated, and the equivalent reduction of effective damping in SDOF systems has been obtained. A laboratory experimental evaluation is carried out to verify the effect of deadzone and its numerical approximation. Based on the analysis, a modification is suggested to the corresponding formulas in FEMA 356 for calculation of equivalent damping if a deadzone is to be considered.     

某大型复杂结构地震响应与控制研究

针对某大型复杂结构的地震响应及控制策略进行了研究。首先,建立该结构的整体有限元模型,采用Ritz向量法对结构进行模态分析,研究该复杂结构的振动特性,基于位能加权平均法求解了该复杂结构等效阻尼比;随后,研究了不同布置型式下粘滞消能支撑的受力特点和计算模型;最后.对该结构进行减振设计,分析了不同消能支撑布置形式下的减振效果。结果表明,采用消能减震装置能有效降低复杂结构的地震响应,且并不改变结构体型;同等减震效果前提下,采用人字形支撑比采用斜撑更为经济。本文工作可供类似的大型复杂结构减震设计参考和借鉴。     

新型弹塑性软碰撞防护装置试验研究

为限制隔震层位移,研发了同时提供刚度和阻尼力的新型弹塑性软碰撞防护装置,该装置主要由铅芯橡胶支座、剪力键及中空连接钢板组成。首先对铅芯橡胶支座进行了设计压应力12MPa下基本性能试验及压应力0 MPa下剪切试验;然后进行了弹塑性软碰撞防护装置的水平力学性能测试试验,测定装置的屈服后刚度、屈服力及支座顶端转角,探讨了剪力键外圆面罩橡胶套对试验结果的影响,对比分析了装置的水平力学性能指标与支座在0MPa下剪切试验结果的差异;最后,对弹塑性软碰撞防护装置进行了数值模拟,对比了数值模拟与试验的水平力-位移滞回曲线。结果表明:弹塑性软碰撞防护装置可提供刚度及阻尼力,在剪力键外圆面罩上橡胶套后对试验结果基本无影响;与0MPa下支座测试结果相比较,装置的屈服后刚度及屈服力有所降低;支座顶端转角随支座剪应变的增大而增大;数值模拟与试验的滞回曲线吻合良好,该装置具有良好的滞回耗能能力。     

基于复阻尼理论的混合结构Rayleigh阻尼模型

混合结构的阻尼矩阵不满足经典阻尼条件,导致传统的模态叠加法无法适用。复阻尼理论无法适用于时域计算,其自由振动响应中存在发散现象。针对混合结构的阻尼矩阵非比例性和复阻尼理论的时域发散性,基于频域等效原则构建了求解Rayleigh阻尼系数的数学优化模型,进而得到与复阻尼理论等效的Rayleigh阻尼运动方程。算例分析表明:依据位移时程响应和结构等效阻尼比可证明Rayleigh阻尼运动方程的正确性。基于本文研究成果,等效复阻尼理论的混合结构Rayleigh阻尼运动方程可直接采用模态叠加法,结合其确定的结构等效阻尼比,为混合结构的振型分解反应谱法提供理论依据。     

网架减震球型钢支座减震性能振动台试验研究

针对网架结构的受力特点,提出了一种新型网架减震球型钢支座.按照相似原理制作了网架减震球型钢支座的缩尺模型,并通过模拟地震振动台试验系统地研究了这种支座在地震作用下的减隔震性能.试验结果表明,网架减震球型钢支座能够有效阻隔地震动向上部结构的传递,滞回环饱满、等效阻尼比大,具有良好的隔震及减震耗能能力.     

The role of viscoelastic damping on retrofitting seismic performance of asymmetric reinforced concrete structures

The primary purpose of this research is to improve the seismic response of a complex asymmetric tall structure using viscoelastic(VE) dampers. Asymmetric structures have detrimental effects on the seismic performance because such structures create abrupt changes in the stiffness or strength that may lead to undesirable stress concentrations at weak locations. Structural control devices are one of the effective ways to reduce seismic impacts, particularly in asymmetric structures. For passive vibration control of structures, VE dampers are considered among the most preferred devices for energy dissipation. Therefore, in this research, VE dampers are implemented at strategic locations in a realistic case study structure to increase the level of distributed damping without occupying significant architectural space and reducing earthquake vibrations in terms of story displacements(drifts) and other design forces. It has been concluded that the seismic response of the considered structure retrofitted with supplemental VE dampers corresponded well in controlling the displacement demands. Moreover, it has been demonstrated that seismic response in terms of interstory drifts was effectively mitigated with supplemental damping when added up to a certain level. Exceeding the supplemental damping from this level did not contribute to additional mitigation of the seismic response of the considered structure. In addition, it was found that the supplemental damping increased the total acceleration of the considered structure at all floor levels, which indicates that for irregular tall structures of this type, VE dampers were only a good retrofitting measure for earthquake induced interstory deformations and their use may not be suitable for acceleration sensitive structures. Overall, the research findings demonstrate how seismic hazards to these types of structures can be reduced by introducing additional damping into the structure.     

新型滑移隔震结构模型的振动台试验研究

利用实体软钢棒作为消能限位装置,将一种摩擦性能优良的二硫化钼材料作为隔震支座的滑移材料,提出并制作了一种可以应用于框架结构既能隔震又可以消能的新型摩擦滑移隔震装置。探讨了其设计方法和应用方法,并对安装了该新型摩擦滑移隔震装置的一相似比为1:5的5层框架结构模型进行了振动台试验,测试了框架结构在单向地震波作用下的地震反应规律,分析了摩擦滑移隔震结构的加速度反应、层间剪力反应、隔震层滑移量及隔震层剪力的变化规律。结果表明:一般情况下当设防烈度为8度,Ⅱ类场地时,该隔震结构的加速度响应可降低50%左右,层间剪力响应可降低50%左右,减震效果比较明显。另外,只要确定合理的构造方案和实施方案,这种新型摩擦滑移隔震装置就能满足框架结构的隔震减震要求,可应用于实际工程结构中。     

Design,simulation, and large‐scale testing of an innovative vibration mitigation device employing essentially nonlinear elastomeric springs

This study proposes an innovative passive vibration mitigation device employing essentially nonlinear elastomeric springs as its most critical component. Essential nonlinearity denotes the absence (or near absence) of a linear component in the stiffness characteristics of these elastomeric springs. These devices were implemented and tested on a large‐scale nine‐story model building structure. The main focus of these devices is to mitigate structural response under impulse‐like and seismic loading when the structure remains elastic. During the design process of the device, numerical simulations, optimizations, and parametric studies of the structure‐device system were performed to obtain stiffness parameters for the devices so that they can maximize the apparent damping of the fundamental mode of the structure. Pyramidal elastomeric springs were employed to physically realize the optimized essentially nonlinear spring components. Component‐level finite element analyses and experiments were conducted to design the nonlinear springs. Finally, shake table tests using impulse‐like and seismic excitation with different loading levels were performed to experimentally evaluate the performance of the device. Experimental results demonstrate that the properly designed devices can mitigate structural vibration responses, including floor acceleration, displacement, and column strain in an effective, rapid, and robust fashion. Comparison between numerical and experimental results verified the computational model of the nonlinear system and provided a comprehensive verification for the proposed device. Copyright © 2014 John Wiley & Sons, Ltd.     

Lanczos method for dynamic analysis of damped structural systems

In this paper we extend the Lanczos algorithm for the dynamic analysis of structures⁷ to systems with general matrix coefficients. The equations of dynamic equilibrium are first transformed to a system of first order differential equations. Then the unsymmetric Lanczos method is used to generate two sets of vectors. These vectors are used in a method of weighted residuals to reduce the equations of motion to a small unsymmetric tridiagonal system. The algorithm is further simplified for systems of equations with symmetric matrices. By appropriate choice of the starting vectors we obtain an implementation of the Lanczos method that is remarkably close to that in Reference 7, but generalized to the case with indefinite matrix coefficients. This simplification eliminates one of the sets of vectors generated by the unsymmetric Lanczos method and results in a symmetric tridiagonal, but indefinite, system. We identify the difficulties that may arise when this implementation is applied to problems with symmetric indefinite matrices such as vibration of structures with velocity feedback control forces which lead to symmetric damping matrices. This approach is used to evaluate the vibration response of a damped beam problem and a space mast structure with symmetric damping matrix arising from velocity feedback control forces. In both problems, accurate solutions were obtained with as few as 20 Lanczos vectors.     

逐步积分法求解复阻尼结构运动方程的稳定性问题

平均常加速度法是无条件稳定的，但用它来解复阻尼振动方程时，现了不稳定现象，我们通过理论分析和数值计算结果的比较，探明了这种现象不是由于逐步积分算法本身有不稳定的问题，而是由于复阻尼振动方程解集本身含有不稳定子集的缘故。     

消能减震结构设计参数研究与试验验证

本文就消能减震结构设计参数,即消能部件的支撑刚度、层间最大阻尼力与结构层间屈服力比值等恢复力模型参数的选取进行了讨论。通过对消能装置的耗能特性理论分析,导出了消能装置产生的层间等效阻尼比与这些参数的关系曲线,建议了这些参数的合理取值范围。同时通过对两个消能减震试验结果的分析,验证了本文建议的参数取值的合理性。     

Adaptive base-isolation of civil structures using variable amplification

Semi-active dampers are used in base-isolation to reduce the seismic response of civil engineering structures. In the present study, a new semi-active damping system using variable amplification will be investigated for adaptive baseisolation. It uses a novel variable amplification device （VAD） connected in series with a passive damper. The VAD is capable of producing multiple amplification factors, each corresponding to a different amplification state. Forces from the damper are amplified to the structure according to the current amplification state, which is selected via a semi-active control algorithm specifically tailored to the system＇s tmique damping characteristics. To demonstrate the effectiveness of the VAD-damper system for adaptive base-isolation, numerical simulations are conducted for three and seven-story base-isolated buildings subject to both far and near-field ground motions. The results indicate that the system can achieve significant reductions in response compared to the base-isolated buildings with no damper. The proposed system is also found to perform well compared to a typical semi-active damper.     

双线地铁运营隔振沟屏障性能研究

为研究双线地铁运营时隔振沟的减振效果,基于2.5维有限元法建立双线地铁列车-轨道-地基土体耦合分析模型。模型克服现有研究将轨道结构简化为弹性地基欧拉梁的缺陷,引入实际钢轨动力学参数,实现双线地铁列车荷载下隔振沟对周围地基的隔振效果分析,比较空沟、填充沟两种不同隔振措施的减振特性,并对填充沟隔振影响因素进行系统的参数分析。研究结果表明:双线运营地铁荷载下,空沟隔振作用体现在沟后范围内,填充沟减振范围更广且效果更好,相比空沟更具工程实用性;填充沟在沟深较小时也能发挥良好的减振作用,增大沟深、沟宽均可有效提高减振效果。研究成果可为今后双线地铁隔振设计与施工提供有益参考。