Effects of noise on the internal resonance of a nonlinear oscillator

Abstract We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self–sustaining force proportional to its own velocity. This system models the internal resonance of two o...

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Autor principal:	Damián H. Zanette
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/aad5a87e8210410abb42bbcfd9b4f068
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spelling	oai:doaj.org-article:aad5a87e8210410abb42bbcfd9b4f0682021-12-02T15:08:51ZEffects of noise on the internal resonance of a nonlinear oscillator10.1038/s41598-018-24383-22045-2322https://doaj.org/article/aad5a87e8210410abb42bbcfd9b4f0682018-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-24383-2https://doaj.org/toc/2045-2322Abstract We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self–sustaining force proportional to its own velocity. This system models the internal resonance of two oscillation modes in a vibrating solid beam clamped at both ends. In applications to nano– and micromechanical devices, clamped–clamped beams are subjected to relatively large thermal and electronic noise, so that characterizing the fluctuations induced by these effects is an issue of both scientific and technological interest. We pay particular attention to the action of stochastic forces on the stability of internal–resonance motion, showing that resonant oscillations become more robust than other forms of periodic motion as the quality factor of the resonant mode increases. The dependence on other model parameters —in particular, on the coupling strength between the two oscillators— is also assessed.Damián H. ZanetteNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-9 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Damián H. Zanette Effects of noise on the internal resonance of a nonlinear oscillator
description	Abstract We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self–sustaining force proportional to its own velocity. This system models the internal resonance of two oscillation modes in a vibrating solid beam clamped at both ends. In applications to nano– and micromechanical devices, clamped–clamped beams are subjected to relatively large thermal and electronic noise, so that characterizing the fluctuations induced by these effects is an issue of both scientific and technological interest. We pay particular attention to the action of stochastic forces on the stability of internal–resonance motion, showing that resonant oscillations become more robust than other forms of periodic motion as the quality factor of the resonant mode increases. The dependence on other model parameters —in particular, on the coupling strength between the two oscillators— is also assessed.
format	article
author	Damián H. Zanette
author_facet	Damián H. Zanette
author_sort	Damián H. Zanette
title	Effects of noise on the internal resonance of a nonlinear oscillator
title_short	Effects of noise on the internal resonance of a nonlinear oscillator
title_full	Effects of noise on the internal resonance of a nonlinear oscillator
title_fullStr	Effects of noise on the internal resonance of a nonlinear oscillator
title_full_unstemmed	Effects of noise on the internal resonance of a nonlinear oscillator
title_sort	effects of noise on the internal resonance of a nonlinear oscillator
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/aad5a87e8210410abb42bbcfd9b4f068
work_keys_str_mv	AT damianhzanette effectsofnoiseontheinternalresonanceofanonlinearoscillator
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Effects of noise on the internal resonance of a nonlinear oscillator

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