A principle of similarity for nonlinear vibration absorbers

[en] This paper develops a principle of similarity for the design of a nonlinear absorber, the nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system. Specifically, for effective vibration mitigation, we show that the NLTVA should feature a nonlinearity possessing the same mathematical form as that of the primary system. A compact analytical formula for the nonlinear coefficient of the absorber is then derived. The formula, valid for any polynomial nonlinearity in the primary system, is found to depend only on the mass ratio and on the nonlinear coefficient of the primary system. When the primary system comprises several polynomial nonlinearities, we demonstrate that the NLTVA obeys a principle of additivity, i.e., each nonlinear coefficient can be calculated independently of the other nonlinear coefficients using the proposed formula.

Research center :

Space Structures and Systems Lab.

Disciplines :

Mechanical engineering

Author, co-author :

Habib, Giuseppe ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

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

Language :

English

Title :

A principle of similarity for nonlinear vibration absorbers

Publication date :

2016

Journal title :

Physica D. Nonlinear Phenomena

ISSN :

0167-2789

Publisher :

Elsevier Science, Amsterdam, Netherlands

Volume :

332

Pages :

1-8

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://www.sciencedirect.com/science/article/pii/S0167278915300580

European Projects :

FP7 - 307265 - NOVIB - The Nonlinear Tuned Vibration Absorber

Funders :

CER - Conseil Européen de la Recherche [BE]
CE - Commission Européenne [BE]

Available on ORBi :

since 30 August 2016

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