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Dampening of a cantilever beam with large particles in a small cavity: model and experiment

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Abstract

Particle dampers are passive attenuating mechanisms of vibration, where small-sized particles (less than 1 mm in diameter) are introduced into the structure to dissipate energy by shock and friction. For that, we must have enough space in the cavity for the particles to move, which usually requires large cavities in relation to the size of the particles. In this work, the idea is to reduce the volume of the cavities, thus reducing the required space for the damper in the structure. As a consequence, we increase the mass of the particles to improve the performance of the damper (stainless steel spheres of 5 mm diameter) and the spheres are free to vibrate inside the structure within a small gap in the cavity (0.1 mm total gap). The shock of the spheres against the walls of the cavity in the structure dissipates energy within this small gap. We present a mathematical modeling of the system, and we correlate it with experimental results. The results show a significant reduction of the resonance peak with the use of the damper even in the case of such a small space for the motion of the sphere.

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References

  1. Olson, S.E.: An analytical particle damping model. J. Sound Vib. 264(5), 1155–1166 (2003). https://doi.org/10.1016/S0022-460X(02)01388-3

    Article  Google Scholar 

  2. Lu, Z., Wang, Z., Zhou, Y., Lu, X.: Nonlinear dissipative devices in structural vibration control: a review. J. Sound Vib. 423, 18–49 (2018). https://doi.org/10.1016/j.jsv.2018.02.052

    Article  Google Scholar 

  3. Wu, C.J., Liao, W.H., Wang, M.Y.: Modeling of granular particle damping using multiphase flow theory of gas-particle. J. Vib. Acoust. 126(2), 196–201 (2004). https://doi.org/10.1115/1.1688763

    Article  Google Scholar 

  4. Ahmad, N., Ranganath, R., Ghosal, A.: Modeling and experimental study of a honeycomb beam filled with damping particles. J. Sound Vib. 391, 20–34 (2017). https://doi.org/10.1016/j.jsv.2016.11.011

    Article  Google Scholar 

  5. Friend, R.D., Kinra, V.K.: Particle impact damping. J. Sound Vib. 233(1), 93–118 (2000). https://doi.org/10.1006/jsvi.1999.2795

    Article  Google Scholar 

  6. Gagnon, L., Morandini, M., Ghiringhelli, G.L.: A review of particle damping modeling and testing. J. Sound Vib. 459, 114865 (2019). https://doi.org/10.1016/j.jsv.2019.114865

    Article  Google Scholar 

  7. Xu, Z.W., Wang, M.Y., Chen, T.N.: An experimental study of particle damping for beams and plates. J. Vib. Acoust. 126(1), 141–148 (2004). https://doi.org/10.1115/1.1640354

    Article  Google Scholar 

  8. Cui, Z.Y., Wu, J.H., Chen, H., Li, D.: A quantitative analysis on the energy dissipation mechanism of the nonobstructive particle damping technology. J. Sound Vib. 330(11), 2449–2456 (2011). https://doi.org/10.1016/j.jsv.2010.12.004

    Article  Google Scholar 

  9. Lei, X., Wu, C.: Non-obstructive particle damping using principles of gas-solid flows. J. Mech. Sci. Technol. 31(3), 1057–1065 (2017). https://doi.org/10.1007/s12206-017-0204-3

    Article  Google Scholar 

  10. Xu, Z., Wang, M.Y., Chen, T.: Particle damping for passive vibration suppression: numerical modelling and experimental investigation. J. Sound Vib. 279(3–5), 1097–1120 (2005). https://doi.org/10.1016/j.jsv.2003.11.023

    Article  Google Scholar 

  11. Koch, S., Duvigneau, F., Orszulik, R., Gabbert, U., Woschke, E.: Partial filling of a honeycomb structure by granular materials for vibration and noise reduction. J. Sound Vib. 393, 30–40 (2017). https://doi.org/10.1016/j.jsv.2016.11.024

    Article  Google Scholar 

  12. Zhang, K., Xi, Y., Chen, T., Ma, Z.: Experimental studies of tuned particle damper: design and characterization. Mech. Syst. Signal Process. 99, 219–228 (2018). https://doi.org/10.1016/j.ymssp.2017.06.007

    Article  Google Scholar 

  13. Thomson, W.T., Dahleh, M.D.: Theory of Vibration With Applications. Prentice Hall, Upper Saddle River (1998)

    Google Scholar 

  14. Qu, Z.Q.: Model Order Reduction Techniques With Applications in Finite Element Analysis. Springer, London (2004)

    MATH  Google Scholar 

  15. Maia, N.M.M., Silva, J.M.M.: Theoretical and Experimental Modal Analysis. Research Studies Press, Taunton (1997)

    Google Scholar 

  16. Stronge, W.J.: Impact Mechanics. Cambridge University Press, Cambridge (2004)

    MATH  Google Scholar 

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Acknowledgements

This reasearch was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) under Grant No. 301118/2018-3.

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Correspondence to Rodrigo Nicoletti.

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Gorla, F.D., Nicoletti, R. Dampening of a cantilever beam with large particles in a small cavity: model and experiment. Arch Appl Mech 91, 2933–2942 (2021). https://doi.org/10.1007/s00419-021-01946-w

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  • DOI: https://doi.org/10.1007/s00419-021-01946-w

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