Deborah Lavazec

Experimental evaluation and modeling of a nonlinear absorber for vibration attenuation : design, identification, and analysis

Advisors: Denis Duhamel, Christian Soize, Gwendal Cumunel

Due to their long wavelengths, mechanical vibrations at low frequencies cannot easily be reduced in structures by using dissipative materials. Despite these difficulties, the attenuation of vibration at low frequencies remains an important concern. To solve this problem, several ways of research have been explored and have been applied to vibration energy pumping such as linear oscillators, composed of a mass, a spring, and a damper. Their resonance frequency must coincide with the resonant frequency of the structure that has to be attenuated. The absorbers that are oscillators with a nonlinear behavior constitute an interesting alternative. The response of the nonlinear oscillator allows for obtaining an attenuation of vibration over a broader frequency band than the response of linear oscillator, without splitting the resonance that has to be attenuated into two resonances. The work presented here is in the frame of the vibratory reduction, on a macro-scale, at low frequencies, for which the first structural modes are excited. A nonlinear absorber has been designed, experimentally realized and analyzed, modeled and experimentally identified to highlight the phenomenon of broadening the frequency band of the response. The effects of this absorber on the dynamic behavior of a cantilever beam have been numerically studied, using a model of the beam coupled to nonlinear absorbers. A reduced-model and its stochastic solver have also been developed. The results obtained show that the nonlinear absorber allows for obtaining an attenuation on the beam response, without splitting of the resonance that has to be attenuated.

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