TMD对结构地震响应控制效果的研究

TMD对简谐激励和风荷载引起振动的控制效果得到了一致的肯定,然而关于TMD地震控制的效果还没有一致的结论.文中比较了几种有代表性的TMD参数优化方法所确定的TMD参数;利用MAT-LAB编制了计算程序,分析了不同方法所确定的TMD参数用于地震控制时,控制效果的差别;从反应谱的概念出发,研究TMD对单自由度结构的地震控制效果.结果表明,TMD总体上对于单自由度结构的地震响应是有控制效果的,结构本身响应越大,控制效果越好;结构本身响应很小的时候,TMD有放大结构响应的现象,但由于结构本身响应很小,放大后的结构响应也不会导致结构有破坏的危险.     

不同形式的TMD系统对超高层结构振动控制分析对比

在TMD系统的质量、阻尼和总刚度均保持不变的情况下,拟定3种不同的TMD系统设置方案,并从地震荷载激励方面来研究调频质量阻尼器对超高层结构的振动控制。通过对3种方案的结构模型进行模态分析和动力时程反应分析,得出在地震荷载激励下控制前后的结构响应,并比较了3种方案下TMD的控制差异,选择出最优方案。此外从能量的角度出发,分析了TMD耗散地震能的能力,并确定出在减少地震输入能及增大阻尼耗能作为控制目标时的最优方案。     

抗震结构的阻尼减振效果分析

研究了抗震结构的阻尼减振效果。首先，考虑了单自由度体系在不同频率简谐干扰作用下阻尼比对结构反应的减小效果；然后，考虑了阻尼比对结构地震反应谱的影响，分析了我国现行建筑抗震设计规范反应谱，并讨论了不同阻尼比对水平地震影响系数的修正公式。     

基础隔震结构随机地震响应分析的复模态法

本文对多自由度基础隔震结构的随机地震响应问题进行了系统研究，首先建立了运动方程，然后用第一振型将上部结构展开，针对所得方程为非经典阻尼、非对称质量和非对称刚度情况，用复模态法解耦，获得了以第一振型表示的结构地震响应的解析解，对单自由度体系，此解即为结构响应的精确解，从而建立了两自由度体系在任意非经典阻尼与非对称质量和刚度情况下随机地震响应解析解分析的一般方法。本文方法也可用于带TMD减震结构、无损伤“加层减震”加固结构的随机地震响应分析与优化设计。     

MTMD对建筑结构多模态控制的减震分析

本文研究了MTMD对建筑结构多模态减震控制。将主结构简化为多自由度模型，MTMD对结构的反力与地震荷载共同作为结构的荷载输入进行分析；基于主结构多模态耦合进行推导分析，阐述了MTMD与结构之间的相互作用关系，提出MTMD的复惯性质量。提出MTMD的控制类型是加速度相关型的无源被动控制。从频域传递函数，白噪声、宽带和窄带地震激励下的结构相对位移和绝对加速度谱密度，以及El-centro地震波作用下结构的地震响应三个方面，分析了MTMD对顶部带有结构附属物的结构的控制效果。并且给出TMD的控制效果加以比较验证。算例说明MTMD多模态控制对结构的相对位移和绝对加速度均有较好的控制效果，并且优于TMD控制效果。     

结构随机地震响应分析的复模态法

本文对多自由度基础平动结构随机地震响应问题进行了系统研究。针对用第1振型近似代表上部结构所得方程为非经典阻尼和非对称结构情况。用复模态法解耦。获得了以第1振型表示的结构地震响应的解析解。对单自由度体系。此解即为结构响应的精确解。本文方法也可用于带TMD减震结构等的随机地震响应分析与优化设计。     

新型半主动调谐质量阻尼器减震性能的数值模拟

为了改良被动式调谐质量阻尼器(TMD)对建筑结构的减震效果,本文提出了一种新型的可实时调节频率和电涡流阻尼的半主动调谐质量阻尼器(SATMD)。由Hilbert-Huang变换(HHT)识别出结构的瞬时频率,通过基于HHT的控制算法实时调节SATMD的质量进行频率的调谐;通过基于线性二次型高斯(LQG)的控制算法实时调整磁导间距来调节电涡流阻尼系数。为了验证SATMD对建筑结构的减震效果,以一单自由度结构模型为例进行地震响应模拟,同时采用一经优化设计的被动TMD作为对比,并考虑由于主结构的累积损伤等引起自身频率下降而造成被动TMD的去谐效应。以主结构的加速度和位移时程峰值、整体均方根值及TMD的耗能性能作为评价指标,对比了SATMD在主结构发生损伤前后对被动TMD的改良效果。数值模拟结果表明,在主结构发生损伤前后,SATMD均比经优化设计的被动TMD有更好的减震效果及耗能能力。     

多自由度结构的磁流变阻尼顶层隔振控制

提出了应用磁流变阻尼装置的多自由度结构顶层隔振控制方法.首先,以大质量比TMD控制的减振机理为基础,对顶层隔振结构的动力特性进行研究,建立合理的顶层隔振结构体系;然后,采用磁流变阻尼器对顶层隔振结构的隔振层进行被动和半主动控制,以避免其控制范围较窄的缺点;最后,对三自由度结构进行顶层隔振控制时程分析,得到了比较理想的控制效果.     

大跨度结构TMD减震系统多点激励的地震随机响应分析

众多研究表明，对大跨度结构进行抗震分析时，必须采用非一致地震激励模型。本文对带TMD系统的大跨度结构考虑地震行波效应后的随机地震响应问题进行了研究。文中建立了结构的动力方程，并利用虚拟激励法求解。研究结果表明，对于大跨度结构装设TMD子结构以后可显著地降低结构的位移、速度和加速度响应，但在设计TMD减震系统时，必须考虑到地震激励的非一致性，否则可能会使预期的减震效果失效。     

摩擦悬吊式TMD设计及其风振控制效果

为了减轻河南艺术中心标志塔的风致振动,设计了一种新型的摩擦悬吊式TMD.文章首先详细介绍了所设计摩擦悬吊式TMD的构造和等效分析模型.然后, 利用SAP2000中的LINK单元来模拟所设计的摩擦TMD, 对其风振控制效果进行了非线性分析.分析结果表明: 所设计的摩擦悬吊式TMD, 在设计风荷载作用下,可以按照控制效果最优的原则选出最优摩擦力,而所选出的最优摩擦力能保证在0.3至2.0倍设计风荷载范围内的风荷载作用下控制效果基本达到40%以上.     

Experimental verification of seismic vibration control using a semi‐active friction tuned mass damper

A tuned mass damper (TMD) system consists of an added mass with properly functioning spring and damping elements for providing frequency‐dependent damping in a primary structure. The advantage of a friction‐type TMD, that is, a nonlinear TMD, is its energy dissipation via a friction mechanism. In contrast, the disadvantages of a passive friction TMD (PF‐TMD) are its fixed and predetermined slip load and loss of tuning and energy dissipation capabilities when it is in a stick state. A semi‐active friction TMD (SAF‐TMD) is used to overcome these disadvantages. The SAF‐TMD can adjust its slip force in response to structure motion. To verify its feasibility, a prototype SAF‐TMD was fabricated and tested dynamically using a shaking table test. A nonsticking friction control law was used to keep the SAF‐TMD activated and in a slip state in earthquakes at varying intensities. The shaking table test results demonstrated that: (i) the experimental results are consistent with the theoretical results; (ii) the SAF‐TMD is more effective than the PF‐TMD given a similar peak TMD stroke; and (iii) the SAF‐TMD can also prevent a residual TMD stroke in a PF‐TMD system. Copyright © 2011 John Wiley & Sons, Ltd.     

Protection of seismic structures using semi‐active friction TMD

Although the design and applications of linear tuned mass damper (TMD) systems are well developed, nonlinear TMD systems are still in the developing stage. Energy dissipation via friction mechanisms is an effective means for mitigating the vibration of seismic structures. A friction‐type TMD, i.e. a nonlinear TMD, has the advantages of energy dissipation via a friction mechanism without requiring additional damping devices. However, a passive‐friction TMD (PF‐TMD) has such disadvantages as a fixed and pre‐determined slip load and may lose its tuning and energy dissipation abilities when it is in the stick state. A novel semi‐active‐friction TMD (SAF‐TMD) is used to overcome these disadvantages. The proposed SAF‐TMD has the following features. (1) The frictional force of the SAF‐TMD can be regulated in accordance with system responses. (2) The frictional force can be amplified via a braking mechanism. (3) A large TMD stroke can be utilized to enhance control performance. A non‐sticking friction control law, which can keep the SAF‐TMD activated throughout an earthquake with an arbitrary intensity, was applied. The performance of the PF‐TMD and SAF‐TMD systems in protecting seismic structures was investigated numerically. The results demonstrate that the SAF‐TMD performs better than the PF‐TMD and can prevent a residual stroke that may occur in a PF‐TMD system. Copyright © 2009 John Wiley & Sons, Ltd.     

Fundamental characteristics of Multiple Tuned Mass Dampers for suppressing harmonically forced oscillations

Multiple Tuned Mass Dampers (MTMD's) consisting of many tuned mass dampers (TMD's) with distributed natural frequencies are considered for suppressing effectively the harmonically forced single mode response of structures. The fundamental characteristics of MTMD's are investigated analytically with the parameters of the covering frequency range of MTMD's, the damping ratio of each TMD and the total number of TMD's. The effectiveness and the robustness of MTMD's are also discussed in comparison with those of the usual single TMD. It is found that there exists an optimum MTMD for the given total number of TMD's with the optimum frequency range and the optimum damping ratio and that the optimum MTMD is more effective than the optimum single TMD. As for the robustness, it is also clarified that a MTMD can be much more robust than a single TMD while keeping the same level of effectiveness as the optimum single TMD.     

采用双向调谐质量阻尼器的大跨度桥梁风振控制仿真分析

传统的调谐质量阻尼器（TMD）设计均仅针对结构某一阶模态单独设置,当用于密频结构减振时会导致附加质量过多。为减小TMD的附加质量,结合大跨度斜拉桥结构的密频与风致耦合振动特点,提出了一种新型的双向共享质量与电涡流阻尼式TMD。具体实现方式是：水平、竖向TMD的刚度构件分别采用悬臂梁与压簧,将水平向TMD整体置于压簧上面,从而构成竖向TMD的质量;导体板固定不动,使安装在TMD质量块的永磁体阵列随质量块竖向或水平方向运动,从而分别产生竖向与水平向的电磁涡流阻尼。研究结果表明：（1）电涡流阻尼可以很好地实现双向TMD装置的共享阻尼,且电涡流阻尼的大小可以很方便地调节;（2）采用双向TMD进行斜拉桥的风致振动控制减振效果良好,可行性强。     

Feasibility study of a large-scale tuned mass damper with eddy current damping mechanism

Tuned mass dampers(TMDs) have been widely used in recent years to mitigate structural vibration.However,the damping mechanisms employed in the TMDs are mostly based on viscous dampers,which have several well-known disadvantages,such as oil leakage and difficult adjustment of damping ratio for an operating TMD.Alternatively,eddy current damping(ECD) that does not require any contact with the main structure is a potential solution.This paper discusses the design,analysis,manufacture and testing of a large-scale horizontal TMD based on ECD.First,the theoretical model of ECD is formulated,then one large-scale horizontal TMD using ECD is constructed,and finally performance tests of the TMD are conducted.The test results show that the proposed TMD has a very low intrinsic damping ratio,while the damping ratio due to ECD is the dominant damping source,which can be as large as 15% in a proper configuration.In addition,the damping ratios estimated with the theoretical model are roughly consistent with those identified from the test results,and the source of this error is investigated.Moreover,it is demonstrated that the damping ratio in the proposed TMD can be easily adjusted by varying the air gap between permanent magnets and conductive plates.In view of practical applications,possible improvements and feasibility considerations for the proposed TMD are then discussed.It is confirmed that the proposed TMD with ECD is reliable and feasible for use in structural vibration control.     

Second‐mode tuned mass dampers in base‐isolated structures for reduction of floor acceleration

To reduce floor acceleration of base‐isolated structures under earthquakes, a tuned mass damper (TMD) system installed on the roof is studied. The optimal tuning parameters of the TMD are analyzed for linear base isolation under a generalized ground motion, and the performance of the TMD is validated using a suite of recorded ground motions. The simulation shows that a TMD tuned to the second mode of a base‐isolated structure reduces roof acceleration more effectively than a TMD tuned to the first mode. The reduction ratio, defined as the maximum roof acceleration with the TMD relative to that without the TMD, is approximately 0.9 with the second‐mode TMD. The higher effectiveness of the second‐mode TMD relative to the first‐mode TMD is attributed primarily to the unique characteristics of base isolation, ie, the relatively long first‐mode period and high base damping. The modal acceleration of the second mode is close to or even higher than that of the first mode in base‐isolated structures. The larger TMD mass ratio and lower modal damping ratio of the second‐mode TMD compared to the first‐mode TMD increases its effect on modal acceleration reduction. The reduction ratio with the second‐mode TMD improves to 0.8 for bilinear base isolation. Because of the detuning effect caused by the change in the first‐mode period in bilinear isolation, the first‐mode TMD is ineffective in reducing roof acceleration. Additionally, the displacement experienced by the second‐mode TMD is considerably smaller than that of the first‐mode TMD, thereby reducing the installation space for the TMD.     

A novel bidirectional pendulum tuned mass damper using variable homogeneous friction to achieve amplitude-independent control

Passive tuned mass dampers (TMDs) are widely used in controlling structural vibrations. Although their principle is well established, the search for improved arrangements is still under way. This effort has recently produced an innovative paradigm of bidirectional pendulum TMD (BTMD) that, moving along a specially designed three-dimensional (3D) surface, can simultaneously control two in-plane orthogonal structural modes. In existing versions of BTMDs, energy dissipation is provided either by ordinary horizontal viscous dampers or by an original arrangement of vertical friction dampers. In this paper, a new paradigm is proposed, in which energy dissipation comes from the tangential friction arising along the pendulum surface out of an optimal spatially variable friction coefficient pattern. Within this paradigm, if the friction coefficient is taken proportional to the modulus of the pendulum surface gradient, the dissipation model results nonlinear homogeneous in the small-displacement domain, and the performance of the absorber, herein called the homogeneous tangential friction BTMD (HT-BTMD), results independent from the excitation level. The present work introduces this concept, derives the analytical model of the HT-BTMD, establishes a method for its optimal design, and numerically verifies its seismic effectiveness in comparison with viscously damped devices. The validity and feasibility of the concept are demonstrated through experimental tests on a small-scale lab prototype, which also show the efficacy of a stepwise approximation of the homogeneous friction pattern. The new device proves a competing alternative to existing BTMDs, and homogeneous tangential friction proves a promising new paradigm to provide pendular systems with amplitude-independent structural damping.     

Dynamic response and optimal design of structures with large mass ratio TMD

This paper investigates the dynamic behavior and the seismic effectiveness of a non‐conventional Tuned Mass Damper (TMD) with large mass ratio. Compared with conventional TMD, the device mass is increased up to be comparable with the mass of the structure to be protected, aiming at a better control performance. In order to avoid the introduction of an excessive additional weight, masses already present on the structure are converted into tuned masses, retaining structural or architectural functions beyond the mere control function. A reduced order model is introduced for design purposes and the optimal design of a large mass ratio TMD for seismic applications is then formulated. The design method is specifically developed to implement High‐Damping Rubber Bearings (HDRB) to connect the device mass to the main structure, taking advantage of combining stiffness and noticeable damping characteristics. Ground acceleration is modeled as a Gaussian random process with white noise power spectral density. A numerical searching technique is used to obtain the optimal design parameter, the frequency ratio alpha, which minimizes the root‐mean‐square displacement response of the main structure. The study finally comprises shaking table tests on a 1:5 scale model under a wide selection of accelerograms, both artificial and natural, to assess the seismic effectiveness of the proposed large mass ratio TMD. Copyright © 2011 John Wiley & Sons, Ltd.     

大跨度悬索桥环境振动的双向TMD控制

对带有双向ＴＭＤ系统的大跨度悬索桥进行了空间非线性时程响应分析,探讨了ＴＭＤ参数对抑振效果的影响,分析结果显示,ＴＭＤ能够增大结构的表观阻尼,有较大的能量耗散作用,加速振荡的衰减,有效地抑振结构的振动,这表明,用ＴＭＤ技术对大跨度悬索桥的环境振动实施被动控制是一个有效的方法。