基于惯容系统位置的调谐质量阻尼器的振动控制研究

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摘要为研究惯容系统位置对调谐质量阻尼器（TMD）减振性能的影响，首先基于动力学原理，采用定点理论对惯质调谐质量阻尼器（TMDI）进行参数优化，得到最优频率比和最优阻尼比解析解；其次讨论了频率比及阻尼比对结构振动特性的影响；最后对TMDI鲁棒性进行研究。结果表明：惯容系统连接位置对阻尼器吸振能力影响显著，与传统TMD和非接地TMDI相比，接地TMDI使主结构动力放大系数分别减小约8.4%、16.5%；接地TMDI调频宽度相比传统TMD提高约6%；在阻尼摄动范围内，接地TMDI减振系统动力放大系数增幅约1.5倍；接地TMDI具有更良好的鲁棒性，可为设计新型TMDI模型提供理论参考。

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	刘欣鹏1
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	杨映雯1
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	孙毅1
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	晏致涛1
	2

关键词 ：惯容系统, 惯质调谐质量阻尼器, 定点理论

Abstract：In order to study the influence of inertial system position on the vibration reduction performance of tuned mass damper (TMD), firstly, based on the dynamic principle, the parameters of SDOF structural system were optimized by using the fixed-point theory, and the analytical solutions of optimal frequency ratio and optimal damping ratio were obtained. Secondly, the influence of frequency ratio and damping ratio on structural vibration characteristics is discussed. Finally, the robustness of tuned mass damper inerter is studied. The results show that the connection position of inertial system has a significant effect on the vibration absorption capacity of TMD. Compared with the conventional TMD and unground TMDI, the dynamic magnification factor of grounded TMDI decreases about 8.4% and 16.5%, respectively. Compared with traditional TMD, the frequency modulation width of grounded TMDI is increased by about 6%. In the range of damping ratio perturbation, the dynamic amplification coefficient of grounded TMDI damping system increases by about 1.5 times. Grounded TMDI has better robustness, which can provide theoretical reference for the design of new TMDI model.
Key words: inerter; tuned mass damper inerter; fixed point theory

Key words： inerter tuned mass damper inerter fixed point theory

收稿日期: 2021-08-11 出版日期: 2023-01-15

引用本文:

刘欣鹏1,2，杨映雯1,2，孙毅1,2，晏致涛1,2. 基于惯容系统位置的调谐质量阻尼器的振动控制研究[J]. 振动与冲击, 2023, 42(1): 215-223.
LIU Xinpeng1,2, YANG Yingwen1,2, SUN Yi1,2, YAN Zhitao1,2. Vibration control of TMD based on position of inertial system. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(1): 215-223.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I1/215

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