Nonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology

[en] This paper addresses the problem of mitigating the vibration of nonlinear mechanical systems using nonlinear dynamical absorbers. One particular feature of the proposed absorber is that it is effective in a wide range of forcing amplitudes. A qualitative tuning methodology is developed and validated using numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved.

Disciplines :

Mechanical engineering

Author, co-author :

Viguié, Régis ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

Nonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology

Publication date :

2009

Journal title :

Journal of Sound and Vibration

ISSN :

0022-460X

eISSN :

1095-8568

Publisher :

Academic Press, London, United Kingdom

Volume :

326

Issue :

3-5

Pages :

780-793

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 19 May 2010

Statistics

Number of views

99 (3 by ULiège)

Number of downloads

2 (1 by ULiège)

More statistics

Scopus citations^®

105

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

102

publications

supporting

mentioning

contrasting

Smart Citations

Citing PublicationsSupportingMentioningContrasting

View Citations

See how this article has been cited at scite.ai

scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.

Bibliography

H. Frahm, A device for damping vibrations of bodies, US Patent 989958, 1911.
Den Hartog J.P. Mechanical Vibrations. fourth ed. (1985), Dover Books on Engineering
Roberson R. Synthesis of a nonlinear dynamic vibration absorber. Journal of the Franklin Institute 254 (1952) 205-220
Pipes L. Analysis of a nonlinear dynamic vibration absorber. Journal of Applied Mechanics 20 (1953) 515-518
Arnold F. Steady-state behavior of systems provided with nonlinear dynamic vibration absorbers. Journal of Applied Mechanics 22 (1955) 487-492
Hunt J., and Nissen J.-C. The broadband dynamic vibration absorber. Journal of Sound and Vibration 83 (1982) 573-578
Haxton R.S., and Barr A.D.S. The autoparametric vibration absorber. Journal of Engineering for Industry-Transactions of the ASME 94 (1972) 119-125
Vyas A., and Bajaj A.K. Dynamics of autoparametric vibration absorbers using multiple pendulums. Journal of Sound and Vibration 246 (2001) 115-135
Gendelman O.V. Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Nonlinear Dynamics 25 (2001) 237-253
Gendelman O.V., Manevitch L.I., Vakakis A.F., and McCloskey R. Energy pumping in nonlinear mechanical oscillators: part i-dynamics of the underlying Hamiltonian systems. Journal of Applied Mechanics 68 (2001) 34-41
Vakakis A.F., and Gendelman O.V. Energy pumping in nonlinear mechanical oscillators: part ii-resonance capture. Journal of Sound and Vibration 68 (2001) 42-48
Vakakis A., Gendelman O., Bergman L., McFarland D., Kerschen G., and Lee Y. Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems (2009), Springer, Dordrecht
Gourdon E., Taylor C., Alexander N., Lamarque C.H., and Pernot S. Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: theoretical and experimental results. Journal of Sound and Vibration 300 (2007) 522-551
Asami T., Nishihara O., and Baz A.M. Analytical solutions to hinf and h2 optimization of dynamic vibration absorbers attached to damped linear systems. Journal of Vibration and Acoustics-Transactions of the ASME 124 (2002) 284-295
Nishihara O., and Asami T. Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors). Journal of Vibration and Acoustics-Transactions of the ASME 124 (2002) 576-582
Asami T., and Nishihara O. Closed-form exact solution to hinf optimization of dynamic vibration absorbers, Application to different transfer functions and damping systems. Journal of Vibration and Acoustics-Transactions of the ASME 125 (2003) 381-411
Fujino Y., and Abe M. Design formulas for tuned mass damper based on a perturbation technique. Earthquake Engineering & Structural Dynamics 22 (1993) 833-854
Ozer M.B., and Royston T.J. Extending Den Hartog's vibrations absorber technique to multi-degree-of-freedom systems. Journal of Vibration and Acoustics-Transactions of the ASME 127 (2005) 341-350
Kerschen G., Kowtko J.J., McFarland D.M., Bergman L.A., and Vakakis A.F. Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Nonlinear Dynamics 47 25 (2007) 285-309
Nayfeh A.H., and Mook D.T. Nonlinear Oscillations (1995), Wiley-Interscience, New York
Vakakis A.F., Manevitch L.I., Mikhlin Y.V., Pilipchuk V.N., and Zevin A.A. Normal Modes and Localization in Nonlinear Systems (1996), Wiley, New York

Similar publications

Sorry the service is unavailable at the moment. Please try again later.

Name	Provider / Domaine	Expiration	Description
JSESSIONID	Oracle Corporation www.uliege.be	Session	General purpose platform session cookie, used by sites written in JSP. Usually used to maintain an anonymous user session by the server.
CookieScriptConsent	CookieScript .uliege.be	1 year	This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.

Name	Provider / Domaine	Expiration	Description
_pk_id	InnoCraft Ltd .uliege.be	1 year	Used to store a few details about the user such as the unique visitor ID
_pk_ses	InnoCraft Ltd .uliege.be	30 minutes	Short lived cookies used to temporarily store data for the visit
_pk_ref	InnoCraft Ltd .uliege.be	6 months	Used to store the attribution information, the referrer initially used to visit the website