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Nonlinear dynamic characteristics of crank train inerters for vibration isolation

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Abstract

The crank train inerter (CTI) is a recently developed vibration inerter consisting of a crank, a linking rod, a flywheel, several gears and pinions. The inertance of CTI is nonlinear when CTI undergoes large displacements. This study explores the nonlinear effect of inertance of a CTI for vibration isolation. The accurate expression of the inertial force in CTI is first derived, and its accuracy is verified by experiment. The equation of motion for the coupled structure–CTI system is formulated, in which a simplified expression of inertial force is adopted. The analytical solutions in forms of the frequency response, peak response and stability boundary are obtained via the harmonic balance method. The transmissibility of the CTI system is derived, and the vibration isolation performance of the CTI is evaluated. Finally, the control effect of CTI on a multistory isolated building for harmonic and seismic excitations is studied. The results show that the nonlinearity of CTI leads to stiffness softening and an unstable response. For the most unfavorable response, the CTI has better vibration isolation control performance than the linear inerter for harmonic and seismic excitations under the same inertance/mass ratio.

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Acknowledgements

The work described in this paper is supported by the National Science Foundation of China (No. 52025082; 51808210) and Hunan Provincial Innovation Foundation for Postgraduate (CX20210413).

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Authors and Affiliations

  1. State Key Laboratory of Bridge Engineering Safety and Resilience, Hunan University, Changsha, 410082, Hunan, China

    Yu-ji Tai, Zhi-Wen Huang, Wen-Xi Wang & Xu-gang Hua

  2. Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, 243032, Anhui, China

    Yu-ji Tai

  3. Shenzhen Municipal Design and Research Institute Co, LTD., Shenzhen, 518029, China

    Xiao-hui He

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  1. Yu-ji Tai
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  2. Xiao-hui He
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  3. Zhi-Wen Huang
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Contributions

Y-JT did investigation, conceptualization, data curation, writing—original draft. X-HH done project administration. Z-WH and W-XW validated the study. X-GH was involved in funding acquisition, supervision, methodology, validation—review and editing.

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Correspondence to Xu-gang Hua.

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Tai, Yj., He, Xh., Huang, ZW. et al. Nonlinear dynamic characteristics of crank train inerters for vibration isolation. Nonlinear Dyn 112, 197–214 (2024). https://doi.org/10.1007/s11071-023-09079-1

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