Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate

Detalhes bibliográficos
Autor(a) principal: Neide, Italo Gabriel
Data de Publicação: 2010
Outros Autores: Kenkre, V. M., Goncalves, Sebastian
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101905
Resumo: Rotational effects on the nonlinear sliding friction of a damped dimer moving over a substrate are studied within a largely one-dimensional model. The model consists of two masses connected rigidly, internally damped, and sliding over a sinusoidal substrate potential while being free to rotate in the plane containing the masses and the direction of sliding. Numerical simulations of the dynamics performed by throwing the dimer with an initial center of mass velocity along the substrate direction show a richness of phenomena including the appearance of three separate regimes of motion. The orientation of the dimer performs tiny oscillations around values that are essentially constant in each regime. The constant orientations form an intricate pattern determined by the ratio of the dimer length to the substrate wavelength as well as by the initial orientations chosen. Corresponding evolution of the center of mass velocity consists, respectively, of regular oscillations in the first and the third regimes, but a power law decay in the second regime; the center of mass motion is effectively damped in this regime because of the coupling to the rotation. Depending on the initial orientation of the dimer, there is considerable variation in the overall behavior. For small initial angles to the vertical, an interesting formal connection can be established to earlier results known in the literature for a vibrating, rather than rotating, dimer. But for large angles, on which we focus in the present paper, quite different evolution occurs. Some of the numerical observations are explained successfully on the basis of approximate analytical arguments but others pose puzzling problems.
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spelling Neide, Italo GabrielKenkre, V. M.Goncalves, Sebastian2014-08-26T09:26:50Z20101539-3755http://hdl.handle.net/10183/101905000762046Rotational effects on the nonlinear sliding friction of a damped dimer moving over a substrate are studied within a largely one-dimensional model. The model consists of two masses connected rigidly, internally damped, and sliding over a sinusoidal substrate potential while being free to rotate in the plane containing the masses and the direction of sliding. Numerical simulations of the dynamics performed by throwing the dimer with an initial center of mass velocity along the substrate direction show a richness of phenomena including the appearance of three separate regimes of motion. The orientation of the dimer performs tiny oscillations around values that are essentially constant in each regime. The constant orientations form an intricate pattern determined by the ratio of the dimer length to the substrate wavelength as well as by the initial orientations chosen. Corresponding evolution of the center of mass velocity consists, respectively, of regular oscillations in the first and the third regimes, but a power law decay in the second regime; the center of mass motion is effectively damped in this regime because of the coupling to the rotation. Depending on the initial orientation of the dimer, there is considerable variation in the overall behavior. For small initial angles to the vertical, an interesting formal connection can be established to earlier results known in the literature for a vibrating, rather than rotating, dimer. But for large angles, on which we focus in the present paper, quite different evolution occurs. Some of the numerical observations are explained successfully on the basis of approximate analytical arguments but others pose puzzling problems.application/pdfengPhysical review. E, Statistical, nonlinear and soft matter physics. Vol. 82, no. 4 (Oct. 2010), 046601, 9 p.Atrito cinéticoMecânica do contínuoDinâmica não-linearProcessos de transporteSimulação numéricaEffects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrateEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000762046.pdf000762046.pdfTexto completo (inglês)application/pdf4911311http://www.lume.ufrgs.br/bitstream/10183/101905/1/000762046.pdfe29ea2956fe83ef866a8a561920efb32MD51TEXT000762046.pdf.txt000762046.pdf.txtExtracted Texttext/plain46382http://www.lume.ufrgs.br/bitstream/10183/101905/2/000762046.pdf.txtca618f958cc6a16f15a5c7ff060a27dcMD52THUMBNAIL000762046.pdf.jpg000762046.pdf.jpgGenerated Thumbnailimage/jpeg1966http://www.lume.ufrgs.br/bitstream/10183/101905/3/000762046.pdf.jpgb2c74c41ed91bda045052ce64f094604MD5310183/1019052024-05-19 05:46:10.946352oai:www.lume.ufrgs.br:10183/101905Repositório InstitucionalPUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.bropendoar:2024-05-19T08:46:10Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
title Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
spellingShingle Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
Neide, Italo Gabriel
Atrito cinético
Mecânica do contínuo
Dinâmica não-linear
Processos de transporte
Simulação numérica
title_short Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
title_full Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
title_fullStr Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
title_full_unstemmed Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
title_sort Effects of rotation on the nonlinear friction of a damped dimer sliding on a periodic substrate
author Neide, Italo Gabriel
author_facet Neide, Italo Gabriel
Kenkre, V. M.
Goncalves, Sebastian
author_role author
author2 Kenkre, V. M.
Goncalves, Sebastian
author2_role author
author
dc.contributor.author.fl_str_mv Neide, Italo Gabriel
Kenkre, V. M.
Goncalves, Sebastian
dc.subject.por.fl_str_mv Atrito cinético
Mecânica do contínuo
Dinâmica não-linear
Processos de transporte
Simulação numérica
topic Atrito cinético
Mecânica do contínuo
Dinâmica não-linear
Processos de transporte
Simulação numérica
description Rotational effects on the nonlinear sliding friction of a damped dimer moving over a substrate are studied within a largely one-dimensional model. The model consists of two masses connected rigidly, internally damped, and sliding over a sinusoidal substrate potential while being free to rotate in the plane containing the masses and the direction of sliding. Numerical simulations of the dynamics performed by throwing the dimer with an initial center of mass velocity along the substrate direction show a richness of phenomena including the appearance of three separate regimes of motion. The orientation of the dimer performs tiny oscillations around values that are essentially constant in each regime. The constant orientations form an intricate pattern determined by the ratio of the dimer length to the substrate wavelength as well as by the initial orientations chosen. Corresponding evolution of the center of mass velocity consists, respectively, of regular oscillations in the first and the third regimes, but a power law decay in the second regime; the center of mass motion is effectively damped in this regime because of the coupling to the rotation. Depending on the initial orientation of the dimer, there is considerable variation in the overall behavior. For small initial angles to the vertical, an interesting formal connection can be established to earlier results known in the literature for a vibrating, rather than rotating, dimer. But for large angles, on which we focus in the present paper, quite different evolution occurs. Some of the numerical observations are explained successfully on the basis of approximate analytical arguments but others pose puzzling problems.
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear and soft matter physics. Vol. 82, no. 4 (Oct. 2010), 046601, 9 p.
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