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Dynamic Analysis of Micro-shock Absorbers

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Abstract

Objective

In this paper, the dynamic characteristics of a miniature shock absorber by electrostatic excitation are studied. The 3 degrees of freedom (DOF) nonlinear forced vibration equations were established by Hamiltonian variational principle. The approximate analytical solution of the nonlinear differential equation is calculated. The nonlinear vibration behavior of the shock absorber under primary resonance was investigated.

Methods

The amplitude-frequency response equation and the relational expression of the component system with two dampers (Tuned Mass Damper and Nonlinear Energy Sink passive vibration absorbers) were obtained using the multiscale method.

Results

It is found that the amplitudes of main component and dampers may be in the same or opposite direction by adjusting the parameter values. Furthermore, the energy absorbed by the dampers results in decrease of the main component amplitude magically. Meanwhile, it is also concluded that the increase of the damping ratio and/or mass ratio of the two dampers on the system caused a decrease in the amplitude of the main components.

Conclusions

TMD and/or NES play an important role in the shock absorption system which can kill the amplitude of the main component magically. The vibration amplitude of the main components can be largely decreased by increasing the mass ratio and damping ratio of TMD and NES. The association of external and internal resonances causes the energy of the external excitation moves to the TMD or NES, thus reducing the amplitude of main component. The amplitudes of main component and dampers may be in the same or opposite direction by adjusting the parameter values.

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Acknowledgements

The work described in this paper is supported by the scientific research foundation of Yunnan Provincial Department of Education (Grant nos.: 2022J0477 and 2022J0066) and the natural science foundation of Yunnan Provincial Department of science and Technology (Grant no.: 202201AU070227). The authors are grateful for their financial support.

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Authors and Affiliations

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650500, Yunnan, People’s Republic of China

    Chunxia Liu

  2. Yunnan Key Laboratory of Applied Mathematics, School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, People’s Republic of China

    Chunxia Liu

  3. Faculty of Public Security and Emergency Management, Kunming University of Science and Technology, Kunming, 650500, Yunnan, People’s Republic of China

    Daohang Wang

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  1. Chunxia Liu
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Correspondence to Daohang Wang.

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Liu, C., Wang, D. Dynamic Analysis of Micro-shock Absorbers. J. Vib. Eng. Technol. 11, 3029–3038 (2023). https://doi.org/10.1007/s42417-022-00728-0

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  • DOI: https://doi.org/10.1007/s42417-022-00728-0

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