Reference : A principle of similarity for nonlinear vibration absorbers
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/201300
A principle of similarity for nonlinear vibration absorbers
English
Habib, Giuseppe mailto [Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Kerschen, Gaëtan mailto [Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
2016
Physica D. Nonlinear Phenomena
Elsevier Science
332
1-8
Yes (verified by ORBi)
International
0167-2789
Amsterdam
The Netherlands
[en] Principle of similarity ; Nonlinear resonances ; Equal-peak method ; Vibration absorber
[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.
Space Structures and Systems Lab.
european research council
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/201300
10.1016/j.physd.2016.06.001
http://www.sciencedirect.com/science/article/pii/S0167278915300580
FP7 ; 307265 - NOVIB - The Nonlinear Tuned Vibration Absorber

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