{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:47:14Z","timestamp":1753886834148,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,24]],"date-time":"2012-07-24T00:00:00Z","timestamp":1343088000000},"content-version":"vor","delay-in-days":205,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>An investigation is carried out on the systematic analysis of the dynamic behavior of the hybrid squeeze\u2010film damper (HSFD) mounted a rotor\u2010bearing system with strongly nonlinear oil\u2010film force and nonlinear rub\u2010impact force in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless rotating speed ratio as control parameters. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincar\u00e9 maps, bifurcation diagrams, maximum Lyapunov exponents, and fractal dimension of the rotor\u2010bearing system. The dynamic behaviors are unlike the usual ways into chaos (1<jats:italic>T<\/jats:italic>\u21d22<jats:italic>T<\/jats:italic>\u21d24<jats:italic>T<\/jats:italic>\u21d28<jats:italic>T<\/jats:italic>\u21d216<jats:italic>T<\/jats:italic>\u21d232<jats:italic>T<\/jats:italic> \u22ef \u21d2 chaos or periodic \u21d2 quasi\u2010periodic \u21d2 chaotic), it suddenly gets in chaos from the periodic motion without any transition. The results presented in this study provide some useful insights into the design and development of a rotor\u2010bearing system for rotating machinery that operates in highly rotating speed and highly nonlinear regimes.<\/jats:p>","DOI":"10.1155\/2012\/279827","type":"journal-article","created":{"date-parts":[[2012,7,24]],"date-time":"2012-07-24T21:01:36Z","timestamp":1343163696000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Dynamic Analysis of a Hybrid Squeeze Film Damper Mounted Rub\u2010Impact Rotor\u2010Stator System"],"prefix":"10.1155","volume":"2012","author":[{"given":"Cai-Wan","family":"Chang-Jian","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,24]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620120412"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1243\/JMES_JOUR_1979_021_042_02"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1243\/PIME_PROC_1990_204_215_02"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01858295"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.2930154"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.2930436"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00052452"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00045106"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008282014350"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008275231189"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.2889694"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2006.03.007"},{"key":"e_1_2_7_13_2","first-page":"549","article-title":"Bifurcation and chaos of a flexible rotor supported by turbulent journal bearings with non-linear suspension","volume":"22","author":"Chang-Jian C. 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