土木工程结构不同多重调谐质量阻尼器的控制策略

提出了双层多重调谐质量阻尼器（DMTMD）和多重双重调谐质量阻尼器（MDTMD）控制策略。利用定义的优化目标函数,评价了最易制作DMTMD和MDTMD模型的性能。数值结果表明,DMTMD和MDTMD比基于任意整数或基于奇数的多重调谐质量阻尼器（AI-MTMD和ON-MTMD）具有更好的有效性和鲁棒性。MDTMD和DMTMD具有近似相同的有效性,但MDTMD比DMTMD具有更好的鲁棒性。总的来说,MDTMD的冲程大于DMTMD的冲程;DMTMD中小质量块的冲程大于AI-MTMD和ON-MTMD的冲程。     

结构多重双重调谐质量阻尼器(MDTMD)的新控制策略

本文提出了一种新的控制策略——多重双重调谐质量阻尼器(以下简称为MDTMD)。MDTMD系统参数的可能组合形成十种MDTMD模型,本文评价其中最易制作的一种MDTMD模型。利用定义的优化目标函数,评价了MDTMD的控制性能。数值结果表明MDTMD比双重调谐质量阻尼器(DTMD)具有更好的有效性和对频率调谐的鲁棒性。但MDTMD的冲程大于DTMD的冲程。     

结构双层多重调谐质量阻尼器(DMTMD)控制策略的鲁棒性评价

基于定义的二类优化目标函数,评价双层多重调谐质量阻尼器(DMTMD)控制策略对漂移频率系数(DFR)摄动的鲁棒性。数值研究表明,使用第二类优化准则设计的DMTMD、双重调谐质量阻尼器(DTMD)和多重调谐质量阻尼器(MTMD)比使用第一类优化准则设计的DMTMD、DTMD和MTMD具有更高的对DFR摄动的鲁棒性。而且,使用第二类优化准则设计的总数为4的DMTMD、DTMD和总数为11的MTMD具有近似相同的对DFR摄动的鲁棒性。     

大跨桥梁振动控制的杠杆主动多重调谐质量阻尼器策略

提出了适用于控制大跨桥梁风致振动的杠杆式主动多重调谐质量阻尼器（LT-AMTMD）控制策略.利用建立的LT-AMTMD结构系统的动力放大系数,评价了LT-AMTMD的性能.数值结果表明,驱动器置于质量块处的LT-AMTMD比驱动器置于其它位置的LT-AMTMD更加有效.驱动器置于质量块处的LT-AMTMD可以根据实际需要,通过改变支撑位置来调节弹簧的静伸长,而且保持其性能不变（包括冲程）.数值结果还表明,驱动器置于质量块处的LT-AMTMD可以明显地提高LT-MTMD的性能,而且比单个杠杆式主动调谐质量阻尼器（LT-ATMD）更加有效.     

非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置

研究了非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置。本文采用的MTMD具有相同的刚度、阻尼，但质量不同。基于导出的设置MTMD时非对称结构扭转角位移传递函数，建立了扭转角位移动力放大系数解析式。MTMD最优参数的评价准则定义为：非对称结构最大扭转角位移动力放大系数的最小值的最小化。MTMD的有效性评价准则定义为：非对称结构最大扭转角位移动力放大系数的最小值的最小化与未设置MTMD时非对称结构最大扭转角位移动力放大系数的比值。基于定义的评价准则，研究了非对称结构的标准化偏心系数(NER)和扭转对侧向频率比(TTFR)对不同位置MTMD最优参数和有效性的影响。     

调谐质量阻尼器的优化分析

本文根据双自由度系统的随机反应，推导了设置调谐质量阻尼器的单自由度系统的运动方程，求出了白噪声基底输入时，设置ＴＭＤ的单自由度系统的反应方差与未设置ＴＭＤ的单自由度系统的反应方差之比，并采用模式搜索法对其进行优化方法，得到了ＴＭＤ系统的最佳减振效果以及相应的ＴＭＤ的参数取值，本文的分析表明，ＴＭＤ系统对减小白噪声基底输入的单自由度系统的随机反应是十分有效的。     

基于Maxwell型阻尼器的多重调谐质量阻尼器性能评价

研究了基于Maxwell型阻尼器的多重调谐质量阻尼器(MTD—MTMD)在控制结构地震反应方面的最优动力特性。利用建立的设置MTD-MTMD时结构的传递函数,定义了设置MTD—MTMD时结构的动力放大系数(DMF)。将MTD-MTMD的优化准则定义为结构最大动力放大系数的最小值的最小化(Min．Min．Max．DMF)。利用定义的优化准则,评价了Maxwell型阻尼器的松弛时间系数(RTC)对MTD—MTMD最优参数和有效性的影响。利用最大的MTD—MTMD动力放大系数(DMF),评价了RTC对MTD-MTMD冲程的影响。     

具有单个和多个调谐质量阻尼器结构受控振型的频率响应方程

采用频域分析方法考虑了（ＴＭＤ）在结构中的位置和结构振型特征,推导了具有单个调谐质量阻尼器（ＳＴＭＤ）和多个调谐质量阻尼器（ＭＴＭＤ）的多自由度结构受控振型广义坐标的频率响应方程,同时还相应给出了具有ＳＴＭＤ和ＭＴＭＤ的非广义单自由度结构的频率响应方程,通过对比分析得出了重要的结论。     

装有调谐质量阻尼器的高架桥梁的减震分析

调谐质量阻尼器（ＴＭＤ）是结构控制中发展起来的一种较成熟的控制装置。本文将ＴＭＤ减振技术运用于高架桥梁,建立了安装有ＴＭＤ的桥梁体系的分析计算模型,获得了其动力反应计算公式;探讨了ＴＭＤ装置对桥梁减震的有效性,并分析了ＴＭＤ动力参数对桥梁减震的影响。     

土木工程结构鲁棒控制的发展

评述了结构控制的发展,指出发展结构鲁棒控制策略的重要性。重点评述了结构双重调谐质量阻尼器(DTMD)和多重双重调谐质量阻尼器(MDTMD)的控制策略,提出了需进一步发展主动双重调谐质量阻尼器(ADTMD)和主动多重双重调谐质量阻尼器(AMDTMD)控制策略、此外,评述了结构鲁棒控制的设计准则与高层建筑和大跨桥梁在风与地震作用下的统一自适应主动鲁棒控制策略。     

Design of multiple tuned mass dampers by using a numerical optimizer

A new method to design multiple tuned mass dampers (multiple TMDs) for minimizing excessive vibration of structures has been developed using a numerical optimizer. It is a very powerful method by which a large number of design variables can be effectively handled without imposing any restriction before the analysis. Its framework is highly flexible and can be easily extended to general structures with different combinations of loading conditions and target controlled quantities. The method has been used to design multiple TMDs for SDOF structures subjected to wide‐band excitation. Some novel results have been obtained. To reduce displacement response of the structure, the optimally designed multiple TMDs have distributed natural frequencies and distinct damping ratios at low damping level. The obtained optimal configuration of TMDs was different from the earlier analytical solutions and was proved to be the most effective. A robustness design of multiple TMDs has also been presented. Robustness is defined as the ability of TMDs to function properly despite the presence of uncertainties in the parameters of the system. Numerical examples of minimizing acceleration structural response have been given where the system parameters are uncertain and are modeled as independent normal variates. It was found that, in case of uncertainties in the structural properties, increasing the TMD damping ratios along with expanding the TMD frequency range make the system more robust. Meanwhile, if TMD parameters themselves are uncertain, it is necessary to design TMDs for higher damping ratios and a narrower frequency range. Copyright © 2004 John Wiley & Sons, Ltd.     

Optimum design and experimental study of multiple tuned mass dampers with limited stroke

This paper develops a two‐stage optimum design procedure for multiple tuned mass dampers (MTMD) to reduce structural dynamic responses with the limitation of MTMD's stroke. A new performance index, which is a linear combination of structural response ratio and MTMD stroke ratio by a weighting factor α, is proposed; α is in the range from 0 to 1.0. The larger the α, the more important the stroke. The case of α=1.0 indicates that MTMD is locked. The analytical results show that the MTMD's stroke can be significantly suppressed with little sacrifice of structural control effectiveness when an appropriate α is selected. To verify the design algorithm, a 360 kg‐MTMD composed of five TMD units arranged in parallel was fabricated. Shaking table tests of a large‐scale three‐story building with and without the MTMD under earthquake excitations were conducted at the National Center for Research on Earthquake Engineering (NCREE) in Taiwan. The experimental results show that MTMD is not only effective in mitigating the building responses but also is successful in suppressing its stroke. Copyright © 2010 John Wiley & Sons, Ltd.     

Seismic response of controlled structures with active multiple tuned mass dampers

Active multiple tuned mass dampers （referred to as AMTMD）, which consist of several active tuned mass dampers （ATMDs） with identical stiffness and damping coefficients but varying mass and control force, have recently been proposed to suppress undesirable oscillations of structures under ground acceleration. It has been shown that the AMTMD can remarkably improve the performance of multiple tuned mass dampers （MTMDs） and is also more effective in reducing structure oscillation than single ATMDs. Notwithstanding this, good performance of AMTMD （including a single ATMD illustrated from frequency-domain analysis） may not necessarily translate into a good seismic reduction behavior in the time-domain. To investigate these phenomena, a three-story steel structure model controlled by AMTMD with three ATMDs was implemented in SIMULINK and subjected to several historical earthquakes. Likewise, the structure under consideration was assumed to have uncertainty of stiffness, such as 4-15% of its initial stiffness, in the numerical simulations. The optimum design parameters of the AMTMD were obtained in the frequency-domain by implementing the minimization of the minimum values of the maximum dynamic magnification factors （DMF） of general structures with AMTMD. For comparison purposes, response analysis of the same structure with a single ATMD was also performed. The numerical analysis and comparison show that the AMTMD generally renders better effectiveness when compared with a single ATMD for structures subjected to historical earthquakes. In particular, the AMTMD can improve the effectiveness of a single ATMD for a structure with an uncertainty of stiffness of 4-15% of its initial stiffness.     

Use of a shared tuned mass damper (STMD) to reduce vibration and pounding in adjacent structures

The dynamic response of tall civil structures due to earthquakes is very important to civil engineers. Structures exposed to earthquakes experience vibrations that are detrimental to their structural components. Structural pounding is an additional problem that occurs when buildings experience earthquake excitation. This phenomena occurs when adjacent structures collide from their out‐of‐phase vibrations. Many energy dissipation devices are presently being used to reduce the system response. Tuned mass dampers (TMD) are commonly used to improve the response of structures. The stiffness and damping properties of the TMD are designed to be a function of the natural frequency of the building to which it is connected. This research involves attaching adjacent structures with a shared tuned mass damper (STMD) to reduce both the structures vibration and probability of pounding. Because the STMD is connected to both buildings, the problem of tuning the STMD stiffness and damping parameters becomes an issue. A design procedure utilizing a performance function is used to obtain the STMD parameters to result in the best overall system response. Copyright © 2001 John Wiley & Sons, Ltd.