Vibration control of TMD based on position of inertial system

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (1) : 215-223.

LIU Xinpeng1,2, YANG Yingwen1,2, SUN Yi1,2, YAN Zhitao1,2

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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

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inerter / tuned mass damper inerter / fixed point theory

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LIU Xinpeng1,2, YANG Yingwen1,2, SUN Yi1,2, YAN Zhitao1,2. Vibration control of TMD based on position of inertial system[J]. Journal of Vibration and Shock, 2023, 42(1): 215-223

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