Ning Zhang, Guo-dong Yin, Tian Mi, Xiao-gao Li, Nan Chen
{"title":"Analysis of Dynamic Stability of Car-trailer Combinations with Nonlinear Damper Properties","authors":"Ning Zhang, Guo-dong Yin, Tian Mi, Xiao-gao Li, Nan Chen","doi":"10.1016/j.piutam.2017.08.033","DOIUrl":null,"url":null,"abstract":"<div><p>The dampers (shock absorbers) installed in the suspensions of the towing car have some nonlinear property in road tests, like a practical piecewise-linear property. Its influence on the dynamic stability of car-trailer combinations are investigated in this paper. This nonlinearity is modeled by a Magic Formula damper model and then integrated into an extended single-track model with a tandem-axle trailer. Both the system local stability and global stability are analyzed with different theoretical methods. The results of system phase portrait show a limit cycle and the corresponding longitudinal velocity is identified as the system dynamic critical speed <em>v</em><sub>crit</sub>, which is ca. 147.2 km/h.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"22 ","pages":"Pages 251-258"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.08.033","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Procedia IUTAM","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2210983817301232","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The dampers (shock absorbers) installed in the suspensions of the towing car have some nonlinear property in road tests, like a practical piecewise-linear property. Its influence on the dynamic stability of car-trailer combinations are investigated in this paper. This nonlinearity is modeled by a Magic Formula damper model and then integrated into an extended single-track model with a tandem-axle trailer. Both the system local stability and global stability are analyzed with different theoretical methods. The results of system phase portrait show a limit cycle and the corresponding longitudinal velocity is identified as the system dynamic critical speed vcrit, which is ca. 147.2 km/h.
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