Effect of sliding friction in harmonic oscillators

Abstract Sliding friction is ubiquitous in nature as are harmonic oscillators. However, when treating harmonic oscillators the effect of sliding friction is often neglected. Here, we propose a simple analytical model to include both viscous and sliding friction in common harmonic oscillator equation...

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Autores principales:	Miguel V Vitorino, Arthur Vieira, Mario S Rodrigues
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/9c11c76c829540eea870f9d5ecc06877
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spelling	oai:doaj.org-article:9c11c76c829540eea870f9d5ecc068772021-12-02T16:06:20ZEffect of sliding friction in harmonic oscillators10.1038/s41598-017-03999-w2045-2322https://doaj.org/article/9c11c76c829540eea870f9d5ecc068772017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03999-whttps://doaj.org/toc/2045-2322Abstract Sliding friction is ubiquitous in nature as are harmonic oscillators. However, when treating harmonic oscillators the effect of sliding friction is often neglected. Here, we propose a simple analytical model to include both viscous and sliding friction in common harmonic oscillator equations, allowing to separate these different types of dissipation. To compare this model with experimental data, a nanometric vibration was imposed on a quartz tuning fork, while an atomic force microscope tip was used to disturb its motion. We analyzed tuning fork resonance and ‘ring down’ experimental curves and for each case calculated the amount of sliding friction and of viscous damping, finding an agreement between the two different experiments and the model proposed.Miguel V VitorinoArthur VieiraMario S RodriguesNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Miguel V Vitorino Arthur Vieira Mario S Rodrigues Effect of sliding friction in harmonic oscillators
description	Abstract Sliding friction is ubiquitous in nature as are harmonic oscillators. However, when treating harmonic oscillators the effect of sliding friction is often neglected. Here, we propose a simple analytical model to include both viscous and sliding friction in common harmonic oscillator equations, allowing to separate these different types of dissipation. To compare this model with experimental data, a nanometric vibration was imposed on a quartz tuning fork, while an atomic force microscope tip was used to disturb its motion. We analyzed tuning fork resonance and ‘ring down’ experimental curves and for each case calculated the amount of sliding friction and of viscous damping, finding an agreement between the two different experiments and the model proposed.
format	article
author	Miguel V Vitorino Arthur Vieira Mario S Rodrigues
author_facet	Miguel V Vitorino Arthur Vieira Mario S Rodrigues
author_sort	Miguel V Vitorino
title	Effect of sliding friction in harmonic oscillators
title_short	Effect of sliding friction in harmonic oscillators
title_full	Effect of sliding friction in harmonic oscillators
title_fullStr	Effect of sliding friction in harmonic oscillators
title_full_unstemmed	Effect of sliding friction in harmonic oscillators
title_sort	effect of sliding friction in harmonic oscillators
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/9c11c76c829540eea870f9d5ecc06877
work_keys_str_mv	AT miguelvvitorino effectofslidingfrictioninharmonicoscillators AT arthurvieira effectofslidingfrictioninharmonicoscillators AT mariosrodrigues effectofslidingfrictioninharmonicoscillators
_version_	1718385041174691840

Effect of sliding friction in harmonic oscillators

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