{"title":"Self-excited fluctuation of sliding velocity induced by LuGre friction in a minimal mechanical model","authors":"Balazs J. Bekesi , Gabor Csernak","doi":"10.1016/j.ijsolstr.2025.113293","DOIUrl":null,"url":null,"abstract":"<div><div>The paper explores various bifurcations that can occur due to the variation of the linear internal damping (bristle damping) term in the LuGre friction model. To capture the essence of the nonlinear effects associated with friction, we consider a minimal mechanical model: a block sliding on a horizontal surface, which is subjected to a constant external force and the LuGre friction force with a viscous damping term. Despite the simplicity of the mechanical model, six different bifurcation scenarios are identified, involving Hopf bifurcations. Due to the emerging limit cycles – that may undergo fold or homoclinic bifurcations, as well – the slipping velocity and the friction force fluctuate near the Stribeck characteristic at sufficiently large bristle damping values. This phenomenon can be considered as a self-excited counterpart of the well-known frictional lag phenomenon.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113293"},"PeriodicalIF":3.4000,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768325000794","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper explores various bifurcations that can occur due to the variation of the linear internal damping (bristle damping) term in the LuGre friction model. To capture the essence of the nonlinear effects associated with friction, we consider a minimal mechanical model: a block sliding on a horizontal surface, which is subjected to a constant external force and the LuGre friction force with a viscous damping term. Despite the simplicity of the mechanical model, six different bifurcation scenarios are identified, involving Hopf bifurcations. Due to the emerging limit cycles – that may undergo fold or homoclinic bifurcations, as well – the slipping velocity and the friction force fluctuate near the Stribeck characteristic at sufficiently large bristle damping values. This phenomenon can be considered as a self-excited counterpart of the well-known frictional lag phenomenon.
期刊介绍:
The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field.
Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.