Dynamics of primary structure coupled with single-sided vibro-impact nonlinear energy sink
DOI:
https://doi.org/10.32347/2410-2547.2022.109.20-29Keywords:
vibro-impact, primary structure, damper, nonlinear energy sinkAbstract
In this paper, we consider a two-mass 2-DOF vibro-impact system, consisting of a linear oscillator, called the primary structure, and an impact damper attached to it. A damper with a small mass hits a wall rigidly connected to the primary structure. This scheme corresponds to the scheme of single-sided vibro-impact nonlinear energy sink – SSVI NES. It is shown that even a light damper can reduce the amplitude and velocity of the primary structure oscillatory movement, that is, decrease its energy. Further optimization of damper parameters should improve this effect. The impact simulation using Hertz’s nonlinear contact force makes it possible to take into account the mechanical characteristics of all colliding surfaces in more detail. The introduction of the initial distance between the primary structure and the damper into the calculation scheme makes it possible to take into account the impact between bodies and see when this impact is absent.
References
AL-Shudeifat, M. A., & Saeed, A. S. (2020). Comparison of a modified vibro-impact nonlinear energy sink with other kinds of NESs. Meccanica, 56(4), 735–752. https://doi.org/10.1007/s11012-020-01193-3
Li, S., Wu, H., & Chen, J. (2022). Global dynamics and performance of vibration reduction for a new vibro-impact bistable nonlinear energy sink. International Journal of Non-Linear Mechanics, 139, 103891. https://doi.org/10.1016/j.ijnonlinmec.2021.103891
Chabrier, R., Chevallier, G., Foltête, E., &Sadoulet-Reboul, E. (2022). Experimental investigations of a vibro-impact absorber attached to a continuous structure. Mechanical Systems and Signal Processing, 180, 109382. https://doi.org/10.1016/j.ymssp.2022.109382
Li, H., Li, A., & Zhang, Y. (2021). Importance of gravity and friction on the targeted energy transfer of vibro-impact nonlinear energy sink. International Journal of Impact Engineering, 157, 104001. https://doi.org/10.1016/j.ijimpeng.2021.104001
Li, W., Wierschem, N. E., Li, X., & Yang, T. (2018). On the energy transfer mechanism of the single-sided vibro-impact nonlinear energy sink. Journal of Sound and Vibration, 437, 166–179. https://doi.org/10.1016/j.jsv.2018.08.057
Li, H.,& Li, A. (2021). Potential of a vibro-impact nonlinear energy sink for energy harvesting. Mechanical Systems and Signal Processing, 159, 107827. https://doi.org/10.1016/j.ymssp.2021.107827
Bergeot, B., Bellizzi, S., & Berger, S. (2021). Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 95, 105623. https://doi.org/10.1016/j.cnsns.2020.105623
Farid, M., Gendelman, O. V., &Babitsky, V. I. (2019). Dynamics of a hybrid vibro impact nonlinear energy sink. ZAMM - Journal of Applied Mathematics and Mechanics / ZeitschriftFür AngewandteMathematik Und Mechanik, 101(7). Portico. https://doi.org/10.1002/zamm.201800341
Gomez, F., Fermandois, G. A., & Spencer Jr., B. F. (2021). Optimal design of nonlinear energy sinks for mitigation of seismic response on structural systems. Engineering Structures, 232, 111756. https://doi.org/10.1016/j.engstruct.2020.111756
Wang, J., Wang, B., Liu, Z., Li, H., & Zhang, C. (2020). Seismic response mitigation of building structures with a novel vibro-impact dual-mass damper. Engineering Structures, 215, 110673. https://doi.org/10.1016/j.engstruct.2020.110673
Wang, J., Wierschem, N. E., Wang, B., & Spencer Jr, B. F. (2020). Multi‐objective design and performance investigation of a high‐rise building with track nonlinear energy sinks. The Structural Design of Tall and Special Buildings, 29(2), e1692. https://doi.org/10.1002/tal.1692
Lizunov, P., Pogorelova, O., &Postnikova, T. (2022). Choice of the Model for Vibro-impact Nonlinear Energy Sink. Strength of Materials and Theory of Structures, 108, 63–76. https://doi.org/10.32347/2410-2547.2022.108.63-76
Wierschem, N. E., Spencer Jr, B. F. (2015). Targeted energy transfer using nonlinear energy sinks for the attenuation of transient loads on building structures. University of Illinois at Urbana-Champaign.NSEL Report Series, Report No. NSEL-045.
Goldsmith W. Impact: The Theory and Physical Behavior of Colliding Solids. Edward Arnold Ltd. – 1960.
Johnson K. L. Contact mechanics. Сambridge univ //Press. Cambridge. – 1985. – Т. 95. – С. 365.
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