Dynamics of a hybrid vibro-impact nonlinear energy sink. (English) Zbl 07813127
Summary: Nonlinear energy sink (NES) is widely studied as a solution for energy harvesting and vibration mitigation problems under periodic, impulsive and stochastic excitations. Current work treats the dynamics of hybrid vibro-impact NES (HVI-NES) attached to a linear primary structure as a passive energy absorber (PES). Due to being a hybridization between the traditional tuned mass damper (TMD) and vibro-impact NES (VI-NES), the HVI-NES exhibits improved energy absorption performance under impulsive excitation in terms of broader energy range. The system parameters are tuned a priori, so for small energies, the HVI-NES acts like the TMD, and for high energies, it acts as a VI-NES. Hence, relatively large energy range is covered. This feature, along with the absence of any nonlinear spring and simplicity of the design, makes this system attractive for possible energy harvesting applications. The NES exhibits rich dynamics, consisting of sustained linear oscillations, sustained impacts of various frequencies, and alternating transition between both regimes. The slow flow dynamics of the nonlinear regimes is described analytically using an approximated relation between the HVI-NES energy and frequency, and with the help of the concept of slow invariant manifold (SIM). The analytical results are supported by numerical verifications.
Numerical optimization is applied for increasing values of impulsive excitation energy, and proves improved energy harvesting performances for a broad energy range.
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Numerical optimization is applied for increasing values of impulsive excitation energy, and proves improved energy harvesting performances for a broad energy range.
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
MSC:
| 70Kxx | Nonlinear dynamics in mechanics |
| 70-XX | Mechanics of particles and systems |
| 70Qxx | Control of mechanical systems |
References:
| [1] | J. P.Den Hartog, Mechanical Vibrations. Courier Corporation1985. |
| [2] | A. F.Vakakis, Shock Isolation Through the Use of Nonlinear Energy Sinks, J. Vib. Control2003, 9, 79. · Zbl 1062.70603 |
| [3] | Y.Starosvetsky, O. V.Gendelman, Response Regimes Of Linear Oscillator Coupled To Nonlinear Energy Sink With Harmonic Forcing And Frequency Detuning, J. Sound Vib.2008, 315, 746. |
| [4] | M.Farid, O. V.Gendelman, Tuned pendulum as nonlinear energy sink for broad energy range, J. Vib. Control2015, no. 1077546315578561. |
| [5] | F.Nucera, A. F.Vakakis, D. M.McFarland, L. A.Bergman, G.Kerschen, Targeted energy transfers in vibro‐impact oscillators for seismic mitigation, Nonlinear Dyn.2007, 50, 651. · Zbl 1177.70032 |
| [6] | J. J.Thomsen, A.Fidlin, General rights near‐elastic vibro‐impact analysis by discontinuous transformations and averaging, J. Sound Vib.2008, 311, 386. |
| [7] | J. J.Thomsen, A.Fidlin, Discontinuous transformations and averaging for vibro‐impact analysis, Proc. XXI Int. Cong. Theor. Appl. Mech. (ICTAM 2004) Abstr. B. CDROM ID SM25L-12694, 2004. |
| [8] | A. C.Luo, Y.Guo, Vibro‐impact dynamics. John Wiley & Sons2012. |
| [9] | L. I.Manevitch, E.Gourdon, C. H.Lamarque, Towards the Design of an Optimal Energetic Sink in a Strongly Inhomogeneous Two‐Degree‐of‐Freedom System, J. Appl. Mech.2007, 74, 1078. |
| [10] | F.Nucera, Nonlinear energy pumping as a strategy for seismic protection, PhD Thesis, University of Calabria at Arcavacata of Rende, Cosenza, Italy 2005. |
| [11] | F.Nucera, F.Lo Iacono, D. M.McFarland, L. A.Bergman, A. F.Vakakis, Application Of Broadband Nonlinear Targeted Energy Transfers For Seismic Mitigation Of A Shear Frame: Experimental Results, J. Sound Vib.2008, 313, 57. |
| [12] | E.Domany, O. VGendelman, Dynamic responses and mitigation of limit cycle oscillations in Van der Pol - Duffing oscillator with nonlinear energy sink, J. Sound Vib.2013, 332, 5489. |
| [13] | T. P.Sapsis, A. F.Vakakis, O. V.Gendelman, L. A.Bergman, G.Kerschen, D. D.Quinn, Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures: Part II, analytical study, J. Sound Vib.2009, 325, 297. |
| [14] | G.Kopidakis, S.Aubry, G. P.Tsironis, Targeted energy transfer through discrete breathers in nonlinear systems, Phys. Rev. Lett.2001, 87, 165501. |
| [15] | A.Memboeuf, S.Aubry, Targeted energy transfer between a Rotor and a Morse oscillator: A model for selective chemical dissociation, Phys. D Nonlinear Phenom.2005, 207, 1. |
| [16] | I. G.Rusakov, A. A.Kharkevich, Forced vibrations of a system striking a stop, Zhur. Tekh. Fiz1942, 12, 715. |
| [17] | V. I.Babitsky, Theory Of Vibro‐Impact Systems And Applications. Springer1998. · Zbl 1041.70001 |
| [18] | R. A.Ibrahim, Recent advances in vibro‐impact dynamics and collision of ocean vessels, J. Sound Vib.2014, 333, 5900. |
| [19] | S. W.Shaw, R. H.Rand, The transition to chaos in a simple mechanical system, Int. J. Non. Linear. Mech.1989, 24, 41. · Zbl 0666.70030 |
| [20] | V. N.Pilipchuk, Impact modes in discrete vibrating systems with rigid barriers, Int. J. Non. Linear. Mech.2001, 36, 999. · Zbl 1345.74051 |
| [21] | S. W.Shaw, P. J.Holmes, A periodically forced impact oscillator with large dissipation, J. Appl. Mech.1983, 50, 849. · Zbl 0539.70032 |
| [22] | O. V.Gendelman, A.Alloni, Dynamics of forced system with vibro‐impact energy sink, J. Sound Vib.2015, 358, 301. |
| [23] | M.Farid, O. VGendelman, Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing, Int. J. Non. Linear. Mech.2017, 94, 146. |
| [24] | O. V.Gendelman, Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment, Nonlinear Dyn.2004, 37, 115. · Zbl 1081.70012 |
| [25] | G.Sigalov, O. V.Gendelman, M. A.AL‐Shudeifat, L. I.Manevitch, A. F.Vakakis, L. A.Bergman, Resonance captures and targeted energy transfers in an inertially‐coupled rotational nonlinear energy sink, Nonlinear Dyn.2012, 69, 1693. |
| [26] | M.Farid, O. V.Gendelman, Response regimes in equivalent mechanical model of moderately nonlinear liquid sloshing, Nonlinear Dyn.2018, 92, 1517. |
| [27] | A. F.Vakakis, O. V.Gendelman, L. A.Bergman, D. M.McFarland, G.Kerschen, Y. S.Lee, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems. Springer2008. · Zbl 1170.70001 |
| [28] | M.Farid, N.Levy, O. V.Gendelman, Vibration mitigation in partially liquid‐filled vessel using passive energy absorbers, J. Sound Vib.2017, 406, 51. |
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