Abstract
The objective of this paper is to introduce a new nonlinear dynamical absorber, the nonlinear tuned vibration absorber, through a rigorous nonlinear extension of the tuning rule for the linear tuned vibration absorber. This nonlinear tuning methodology combined with the increased suppression bandwidth brought by the intentional use of nonlinearity leads to the development of an absorber that is effective in wide ranges of frequencies and motion amplitudes. The results are illustrated using a one-degree-of-freedom primary system.
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References
Roberson RE (1952) Synthesis of a nonlinear dynamic vibration absorber. J Franklin Inst 254:205–220
Pipes LA (1953) Analysis of a nonlinear dynamic vibration absorber. J Appl Mech 20:515–518
Arnold FR (1955) Steady-state behavior of systems provided with nonlinear dynamic vibration absorbers. J Appl Mech 22:487–492
Haxton RS, Barr ADS (1972) The autoparametric vibration absorber. ASME J Eng Ind 94:199–125
Vakakis AF, Gendelman LA, Bergman LA, McFarland DM, Kerschen G, Lee YS (2009) Nonlinear targeted energy transfer in mechanical and structural systems. Springer, Dordrecht
Viguié R,Kerschen G, (2009) Nonlinear vibration absorber coupled to a nonlinear primary system: a tuning methodology. J Sound Vib 326:780–793
Viguié R(2010) Tuning methodology of nonlinear vibration absorbers coupled to nonlinear mechanical systems. Ph.D. thesis, University of Liège. Available online at: http://www.ltas-vis.ulg.ac.be/cmsms/index.php?page=kerschen.
Den Hartog JP(1985) Mechanical vibrations. Dover books on engineering, 4th edn. Dover, New York
Govaerts W, Gazhiani R, Kuznetsov Y, Meijer H (2007) Matcont: a toolbox for continuation and bifurcation of cycles of maps, Universiteit Gent – Utrecht University, 2007.
Acknowledgements
The author G. Kerschen would like to acknowledge the financial support of the European Union (ERC Starting Grant NoVib-307265).
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© 2013 The Society for Experimental Mechanics, Inc.
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Viguié, R., Kerschen, G. (2013). The Nonlinear Tuned Vibration Absorber. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_21
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DOI: https://doi.org/10.1007/978-1-4614-6570-6_21
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