Geometrically nonlinear inerter for vibration suppression

doi:10.1007/s10483-023-3051-6

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (11): 1871-1886.doi: https://doi.org/10.1007/s10483-023-3051-6

Geometrically nonlinear inerter for vibration suppression

Yuyang SONG¹, Liqun CHEN², Tianzhi YANG¹

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Frontier Science Center of Mechanoinformatics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China

收稿日期:2023-06-16 修回日期:2023-09-13 发布日期:2023-10-26
通讯作者: Tianzhi YANG, E-mail: yangtianzhi@me.neu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12232014 and 12072221) and the Fundamental Research Funds for the Central Universities of China (No. 2013017)

Geometrically nonlinear inerter for vibration suppression

Yuyang SONG¹, Liqun CHEN², Tianzhi YANG¹

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Frontier Science Center of Mechanoinformatics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China

Received:2023-06-16 Revised:2023-09-13 Published:2023-10-26
Contact: Tianzhi YANG, E-mail: yangtianzhi@me.neu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12232014 and 12072221) and the Fundamental Research Funds for the Central Universities of China (No. 2013017)

摘要/Abstract

摘要： A two-degree-of-freedom (2DOF) vibration isolation structure with an integrated geometric nonlinear inerter (NI) device is proposed. The device is integrated into an inertial nonlinear energy sink (INES), and its vibration suppression performance is examined by the Runge-Kutta (RK) method and verified by the harmonic balance method (HBM). The new isolator is compared with a traditional vibration isolator. The results show a significant improvement in the vibration suppression performance. To investigate the effects of the excitation amplitude and initial condition on the dynamics of the system, a series of transmissibility-frequency response analyses are performed based on the displacement transmissibility. The energy flow of the system is analyzed, and numerous calculations reveal a series of ideal values for the energy sink in the NI-INES system. This study provides new insights for the design of vibration isolators.

关键词: inerter, nonlinear dynamic, isolator, energy

Abstract: A two-degree-of-freedom (2DOF) vibration isolation structure with an integrated geometric nonlinear inerter (NI) device is proposed. The device is integrated into an inertial nonlinear energy sink (INES), and its vibration suppression performance is examined by the Runge-Kutta (RK) method and verified by the harmonic balance method (HBM). The new isolator is compared with a traditional vibration isolator. The results show a significant improvement in the vibration suppression performance. To investigate the effects of the excitation amplitude and initial condition on the dynamics of the system, a series of transmissibility-frequency response analyses are performed based on the displacement transmissibility. The energy flow of the system is analyzed, and numerous calculations reveal a series of ideal values for the energy sink in the NI-INES system. This study provides new insights for the design of vibration isolators.

Key words: inerter, nonlinear dynamic, isolator, energy

中图分类号:

34A34
74H45

Yuyang SONG, Liqun CHEN, Tianzhi YANG. Geometrically nonlinear inerter for vibration suppression[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 1871-1886.

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Geometrically nonlinear inerter for vibration suppression

Geometrically nonlinear inerter for vibration suppression

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