B. Saunders, R. Vasconcellos, R. Kuether, A. Abdelkefi
{"title":"Insights on the dynamics of piecewise-smooth oscillators with continuous representations.","authors":"B. Saunders, R. Vasconcellos, R. Kuether, A. Abdelkefi","doi":"10.2172/1844047","DOIUrl":"https://doi.org/10.2172/1844047","url":null,"abstract":"Freeplay nonlinearities in mechanical systems are often modeled with fully smooth approximations, but not all approximations may actually be appropriate for use. In this work, several different approximations are used to simulate a forced Duffing oscillator with freeplay and to study its nonlinear performance. These are compared to the exact piecewisesmooth representation to evaluate the accuracy at capturing the correct system physics. The computational costs are also compared for time considerations.","PeriodicalId":260232,"journal":{"name":"Proposed for presentation at the NODYCON 2021 held February 16-19, 2021.","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121110108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Saunders, R. Vasconcellos, R. Kuether, A. Abdelkefi
{"title":"BIFURCATION ANALYSIS OF A DUFFING OSCILLATOR WITH A MULTI-SEGMENTED FREEPLAY NONLINEARITY.","authors":"B. Saunders, R. Vasconcellos, R. Kuether, A. Abdelkefi","doi":"10.2172/1844048","DOIUrl":"https://doi.org/10.2172/1844048","url":null,"abstract":"Freeplay is a common type of nonlinearity in dynamical systems, and it can cause discontinuity-induced bifurcations that may bring about damaging responses in a system. In this work, numerical bifurcation analysis is performed on a forced Duffing oscillator with a multi-segmented freeplay nonlinearity. A time integration method developed in Matlab® with Event Location is used. The focus of the investigation is on grazing and grazing/sliding bifurcations and how they change the system physics. Preliminary results indicate grazing bifurcations are highly dependent on the symmetry and stiffness of the freeplay nonlinearity and can increase the number of possible solutions at a given forcing frequency.","PeriodicalId":260232,"journal":{"name":"Proposed for presentation at the NODYCON 2021 held February 16-19, 2021.","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128562484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}