第一作者倪铭男，硕士生，1990年生

通信作者闫维明男，博士，教授，1960年生

简谐激励下双调谐质量阻尼器基本特性研究

倪铭,闫维明,许维炳,王瑾

(北京工业大学工程抗震与结构诊治北京市重点试验室，北京100124)

摘要：借鉴TMD和MTMD各自的优缺点，结合土木工程结构减震装置的经济性和适用性，提出一种双调谐质量阻尼器(DTMD)，建立了简谐激励作用下单自由度DTMD控制体系(DTMD-SDOF)的运动方程，推导其动力反应放大系数，提出了针对DTMD的调优策略及优化评价函数，并通过相关算法获得DTMD-SDOF系统的参数优化程序，并利用该程序得到了DTMD的最优参数；具体分析了不同参数对DTMD共振峰值和调频宽度的影响，并对阻尼器阻尼参数或受控结构频率发生变化后DTMD的鲁棒性进行了评价；对DTMD与TMD、MTMD的有效性和鲁棒性进行了对比分析。理论与数值研究结果表明，DTMD的控制效果明显优于TMD和MTMD，并且对主结构频率的摄动拥有更佳的鲁棒性。事实证明，DTMD比TMD和MTMD更具工程适用性。

关键词：双调谐质量阻尼器(DTMD)；优化设计；简谐激励；有效性；鲁棒性；振动控制

基金项目：国家自然科学基金资助项目(51378039；91315301 - 03)

收稿日期：2014-04-23修改稿收到日期：2014-08-07

中图分类号:TU317+.1; TU352.1

文献标志码：A

DOI:10.13465/j.cnki.jvs.2015.17.035

Abstract:Based on advantages and disadvantages of tuned mass damper (TMD) and multi-tuned mass damper (MTMD) in civil engineering vibration control, considering the economic efficiency and the applicability of a vibration-reduction device for structures, a double-tuned mass damper (DTMD) was presented. The motion equation of a DTMD with SDOF system under simple-harmonic excitations was established. The dynamic magnification factor (DMF) expression of the DTMD-SDOF system was derived. An optimization strategy and an evaluation function to judge performances of DTMD were proposed. A parameter optimization program written with MATLAB was used to optimize DTMD. The effect of each parameter on the dynamic magnification factor was analyzed and the robustness of DTMD was evaluated. When the damping ratio of the damper and the natural frequency of the structure controlled were changed. Finally, the effectiveness and the robustness of DTMD were compared with those of TMD and MTMD. The theoretical and numerical results showed that the effectiveness of DTMD is much better than that of TMD and MTMD, and DTMD has the best robustness to the perturbation of the controlled structure frequency; so, DTMD is a very effective device of vibration control.

Fundamental characteristics of a double-tuned mass damper under simple-harmonical excitations

NIMing,YANWei-ming,XUWei-bing,WANGJin(Beijing Municipal Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China)

Key words:double-tuned mass damper; optimization design; simple-harmonical excitations; effectiveness; robustness; vibration control

自从1909年Frahm首次提出被动调谐质量阻尼器(Tuned Mass Damper，TMD)后，利用吸振器控制结构振动成为了一种常用的减振手段[1]。由于TMD能够有效地减低结构受到地震或风荷载所引起的反应，因此已有很多TMD被安装在了各地的高耸建筑上，如美国纽约的Citicorp Center，波士顿的John Hancock Building，澳大利亚的悉尼塔等[2]。但是TMD存在着对主结构固有频率摄动十分敏感的缺点，为了改善TMD的鲁棒性，Xu等[3]提出了具有分布频率的多重调谐质量阻尼器(Multiple Tuned Mass Damper，MTMD)。……