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.
References
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
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
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
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
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
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
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
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
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
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
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
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
Thomson, W.T., Dahleh, M.D.: Theory of Vibration With Applications. Prentice Hall, Upper Saddle River (1998)
Qu, Z.Q.: Model Order Reduction Techniques With Applications in Finite Element Analysis. Springer, London (2004)
Maia, N.M.M., Silva, J.M.M.: Theoretical and Experimental Modal Analysis. Research Studies Press, Taunton (1997)
Stronge, W.J.: Impact Mechanics. Cambridge University Press, Cambridge (2004)
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This reasearch was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) under Grant No. 301118/2018-3.
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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