Issue |
Mechanics & Industry
Volume 26, 2025
Recent advances in vibrations, noise, and their use for machine monitoring
|
|
---|---|---|
Article Number | 2 | |
Number of page(s) | 18 | |
DOI | https://doi.org/10.1051/meca/2024036 | |
Published online | 17 January 2025 |
Regular Article
Experimental validation of the analytical modelling of a digitally created duffing acoustic nonlinear oscillator at low amplitudes
1
ENTPE, Ecole Centrale de Lyon, CNRS, LTDS, UMR5513,
69518
Vaulx-en-Velin,
France
2
CNRS, Ecole Centrale de Lyon, ENTPE, LTDS, UMR5513,
69130
Ecully,
France
3
Ecole Centrale de Lyon, CNRS, ENTPE, LTDS, UMR5513,
69130
Ecully,
France
* e-mail: maxime.morell@entpe.fr
Received:
15
February
2024
Accepted:
5
December
2024
Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design of vibration absorbers both for stationary and transient regimes. Recently, the same principle has also been targeted in acoustics for the absorption of sound waves at high excitation amplitudes. Meanwhile, acoustic absorption by electro-active means has found great success for noise reduction in the linear regime. This study uses a method allowing the design of nonlinear resonators at amplitudes that typically induce linear behaviors. This research proposes an analytical study of the implementation of the duffing equation as a nonlinear electroacoustic resonator coupled to an acoustic mode of a tube. Experiments are carried out and compared to the analytical results. The experimental implementation is done using a real-time-based algorithm retrieving the measured pressure from a microphone and giving the electrical current to send to a loudspeaker as an output thanks to a Runge-Kutta-like algorithm. Despite the several assumptions of the model, the analytical modelling is validated by the experiment, showing that the model is able to predict the two-degree-of-freedom system.
Key words: Programmable / Duffing oscillator / multiple scales / electroacoustic resonator / transient regime
© M. Morell et al., Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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