{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T06:49:26Z","timestamp":1756190966274,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"16","funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/L014998\/1"],"award-info":[{"award-number":["EP\/L014998\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,12,30]]},"abstract":"<jats:p> Creep groan is the undesirable vibration observed in the brake pad and disc as brakes are applied during low-speed driving. The presence of friction leads to nonlinear behavior even in simple models of this phenomenon. This paper uses tools from bifurcation theory to investigate creep groan behavior in a nonlinear 3-degrees-of-freedom mathematical model. Three areas of operational interest are identified, replicating results from previous studies: region 1 contains repelling equilibria and attracting periodic orbits (creep groan); region 2 contains both attracting equilibria and periodic orbits (creep groan and no creep groan, depending on initial conditions); region 3 contains attracting equilibria (no creep groan). The influence of several friction model parameters on these regions is presented, which identify that the transition between static and dynamic friction regimes has a large influence on the existence of creep groan. Additional investigations discover the presence of several bifurcations previously unknown to exist in this model, including Hopf, torus and period-doubling bifurcations. This insight provides valuable novel information about the nature of creep groan and indicates that complex behavior can be discovered and explored in relatively simple models. <\/jats:p>","DOI":"10.1142\/s0218127421502552","type":"journal-article","created":{"date-parts":[[2021,12,21]],"date-time":"2021-12-21T03:06:46Z","timestamp":1640056006000},"source":"Crossref","is-referenced-by-count":5,"title":["A Bifurcation Analysis and Sensitivity Study of Brake Creep Groan"],"prefix":"10.1142","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1912-775X","authenticated-orcid":false,"given":"Shaun","family":"Smith","sequence":"first","affiliation":[{"name":"Department of Aeronautical and Automotive Engineering, Loughborough University, Epinal Way, Loughborough, Leicestershire, LE11 3TU, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5838-1374","authenticated-orcid":false,"given":"James","family":"Knowles","sequence":"additional","affiliation":[{"name":"Department of Aeronautical and Automotive Engineering, Loughborough University, Epinal Way, Loughborough, Leicestershire, LE11 3TU, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9530-5020","authenticated-orcid":false,"given":"Byron","family":"Mason","sequence":"additional","affiliation":[{"name":"Department of Aeronautical and Automotive Engineering, Loughborough University, Epinal Way, Loughborough, Leicestershire, LE11 3TU, UK"}]},{"given":"Sean","family":"Biggs","sequence":"additional","affiliation":[{"name":"Jaguar Land Rover, Abbey Road, Whitley, Coventry, Warwickshire CV3 4LF, UK"}]}],"member":"219","published-online":{"date-parts":[[2021,12,20]]},"reference":[{"key":"S0218127421502552BIB003","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2001.4178"},{"volume-title":"Friction Dynamics","year":"2016","author":"Chen G. S.","key":"S0218127421502552BIB004"},{"key":"S0218127421502552BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/9.376053"},{"key":"S0218127421502552BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000397"},{"key":"S0218127421502552BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000555"},{"key":"S0218127421502552BIB010","unstructured":"Harrison, M.   [2004]  Vehicle Refinement: Controlling Noise and Vibration in Road Vehicles  (Cranfield University,  UK),  pp. 1\u2013345."},{"key":"S0218127421502552BIB011","volume-title":"Elements of Applied Bifurcation Theory","volume":"33","author":"Kuznetsov Y.","year":"1996"},{"key":"S0218127421502552BIB012","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/9026214"},{"key":"S0218127421502552BIB013","doi-asserted-by":"publisher","DOI":"10.3389\/feart.2020.00373"},{"key":"S0218127421502552BIB014","doi-asserted-by":"publisher","DOI":"10.1115\/1.1857920"},{"key":"S0218127421502552BIB015","unstructured":"Strogatz, S. H.   [1994]  Nonlinear Dynamics and Chaos,  Book,  pp. 1\u2013505."},{"key":"S0218127421502552BIB016","doi-asserted-by":"publisher","DOI":"10.3390\/lubricants7070056"},{"key":"S0218127421502552BIB017","doi-asserted-by":"publisher","DOI":"10.1002\/pamm.201610136"},{"key":"S0218127421502552BIB018","doi-asserted-by":"publisher","DOI":"10.15632\/jtam-pl.56.2.351"},{"key":"S0218127421502552BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2018.10.049"},{"key":"S0218127421502552BIB020","first-page":"e201800321","volume":"951282","author":"Zhao X.","year":"2019","journal-title":"ZAMM \u2014 J. Appl. Math. Mech.\/Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127421502552","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,21]],"date-time":"2021-12-21T03:08:00Z","timestamp":1640056080000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127421502552"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,20]]},"references-count":16,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2021,12,30]]}},"alternative-id":["10.1142\/S0218127421502552"],"URL":"https:\/\/doi.org\/10.1142\/s0218127421502552","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2021,12,20]]},"article-number":"2150255"}}