{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T14:30:12Z","timestamp":1770561012310,"version":"3.49.0"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T00:00:00Z","timestamp":1497571200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T00:00:00Z","timestamp":1497571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>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 \u2018ring down\u2019 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.<\/jats:p>","DOI":"10.1038\/s41598-017-03999-w","type":"journal-article","created":{"date-parts":[[2017,6,12]],"date-time":"2017-06-12T11:49:14Z","timestamp":1497268154000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Effect of sliding friction in harmonic oscillators"],"prefix":"10.1038","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6821-4481","authenticated-orcid":false,"given":"Miguel V","family":"Vitorino","sequence":"first","affiliation":[]},{"given":"Arthur","family":"Vieira","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0468-1910","authenticated-orcid":false,"given":"Mario S","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,6,16]]},"reference":[{"key":"3999_CR1","unstructured":"Amontons, G. De la resistance cause\u2019e dans les machines, tant par let frottements des parties qui les component, que par la roideur des cordes qu\u2019on y employe, et la maniere de calculer l\u2019un et l\u2019autre. Mem. l\u2019Academie R (1699)."},{"key":"3999_CR2","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1016\/j.jsv.2006.01.030","volume":"295","author":"G Csern\u00e1k","year":"2006","unstructured":"Csern\u00e1k, G. & St\u00e9p\u00e1n, G. On the periodic response of a harmonically excited dry friction oscillator. Journal of Sound and Vibration \n                           295, 649\u2013658 (2006).","journal-title":"Journal of Sound and Vibration"},{"key":"3999_CR3","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1119\/1.1624113","volume":"72","author":"A Marchewka","year":"2004","unstructured":"Marchewka, A., Abbott, D. S. & Beichner, R. J. Oscillator damped by a constant-magnitude friction force. 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