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Random Response of Nonlinear System with Inerter-based Dynamic Vibration Absorber

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Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

Inerter-based dynamic vibration absorber (IDVA) has been widely used to reduce the responses of vibration systems. Its application to the nonlinear system is underexamined and will be explored.

Methods

In the present investigation, an IDVA is applied to a randomly excited nonlinear system which is of concern. The random response of the nonlinear system is analyzed by introducing a generalized harmonic transformation and establishing the relationships between the responses of the nonlinear main system and the IDVA secondary system.

Results

Numerical results are given to illustrate the applicability and effectiveness of the proposed method. The influences of the parameters of the IDVA, the main nonlinear system, and the excitation on the mean-square displacement response of the nonlinear system are investigated. Furthermore, the suppression effectiveness of the IDVA is discussed in detail.

Conclusion

Comparison of the approximate analytical results and simulation results shows that the proposed method is accurate and effective in quite large parameter ranges. Moreover, it is found that the response suppression effectiveness of the IDVA is robust to the main system nonlinearity and to the intensity of the random excitation.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China under Grant Nos. 11672262, 11972317, and 11532011.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou, China

    Wenwen Chang, Xiaoling Jin & Zhilong Huang

  2. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431, USA

    Guoqiang Cai

Authors
  1. Wenwen Chang
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  2. Xiaoling Jin
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  3. Zhilong Huang
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  4. Guoqiang Cai
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Correspondence to Xiaoling Jin.

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Cite this article

Chang, W., Jin, X., Huang, Z. et al. Random Response of Nonlinear System with Inerter-based Dynamic Vibration Absorber. J. Vib. Eng. Technol. 9, 1903–1909 (2021). https://doi.org/10.1007/s42417-021-00334-6

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  • DOI: https://doi.org/10.1007/s42417-021-00334-6

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