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Passive vibration reduction performance of a triple-magnet magnetic suspension dynamic vibration absorber under sinusoidal excitation

正弦激励下三磁铁磁悬浮动力吸振器的被动减振性能研究

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Abstract

A novel triple-magnet magnetic suspension dynamic vibration absorber (TMSDVA) is designed, modeled, and tested in this paper. First, the equivalent dynamics model of the TMSDVA cantilever system is established. Based on the equivalent magnetizing current theory, the calculation model of the magnetic force is derived. After that, we analyze the characteristics of the magnetic force. Then the dynamics equations are solved using the Runge-Kutta method. Through the analysis of simulation responses of the TMSDVA cantilever system under sinusoidal excitation, we find it necessary to adjust the damping coefficient of the TMSDVA properly, which can not only decrease the sensitivity of the vibration reduction effect to the excitation amplitude but also improve the vibration reduction effect of the TMSDVA overall. Next, the experiment is carried out to verify the correctness of the simulation results. Given all that, the TMSDVA has potential application value in the passive vibration reduction of engineering structures.

摘要

本文设计了一种新型的三磁铁磁悬浮动力吸振器(TMSDVA), 并进行了建模和测试. 首先建立了TMSDVA悬臂梁减振系统的等 效动力学模型. 基于等效磁化电流理论, 建立了非线性磁悬浮力的计算模型, 并分析了非线性磁悬浮力的特征. 然后用Runge-Kutta方法 求解系统在正弦激励下的动力学响应. 通过对仿真结果的分析发现, 适当调整TMSDVA的阻尼系数不仅可以降低TMSDVA的减振效果 对激励幅值的敏感性, 还可以整体提高TMSDVA的减振效果. 最后通过实验验证了理论分析的正确性. 综合来看, TMSDVA在工程结构 的被动减振方面具有潜在应用价值

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 52275122 and 12132010).

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin University, Tianjin, 300350, China

    Xiaoyu Chen  (陈潇雨), Yonggang Leng  (冷永刚), Xukun Su  (苏徐昆), Shuailing Sun  (孙帅令) & Junjie Xu  (许俊杰)

  2. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin, 300350, China

    Yonggang Leng  (冷永刚)

  3. School of Foreign Languages, Tianjin University, Tianjin, 300350, China

    Fei Sun  (孙菲)

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  1. Xiaoyu Chen  (陈潇雨)
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  3. Fei Sun  (孙菲)
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Contributions

Xiaoyu Chen and Yonggang Leng designed the research. Xiaoyu Chen, Yonggang Leng, and Fei Sun wrote the first draft of the manuscript. Xiaoyu Chen and Yonggang Leng set up the experiment setup and processed the experiment data. Shuailing Sun, Xukun Su, and Junjie Xu helped organize the manuscript. Xiaoyu Chen, Yonggang Leng, Fei Sun, Xukun Su, and Junjie Xu revised and edited the final version.

Corresponding author

Correspondence to Yonggang Leng  (冷永刚).

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Chen, X., Leng, Y., Sun, F. et al. Passive vibration reduction performance of a triple-magnet magnetic suspension dynamic vibration absorber under sinusoidal excitation. Acta Mech. Sin. 39, 522286 (2023). https://doi.org/10.1007/s10409-022-22286-x

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