Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations
2016 (English)In: Regulârnaâ i haoticeskaâ dinamika, ISSN 1560-3547, E-ISSN 1468-4845, Vol. 21, no 2, 204-231 p.Article in journal (Refereed) Published
We present a qualitative analysis of the dynamics of a rolling and sliding disk in a horizontal plane. It is based on using three classes of asymptotic solutions: straight-line rolling, spinning about a vertical diameter and tumbling solutions. Their linear stability analysis is given and it is complemented with computer simulations of solutions starting in the vicinity of the asymptotic solutions. The results on asymptotic solutions and their linear stability apply also to an annulus and to a hoop
Place, publisher, year, edition, pages
Springer, 2016. Vol. 21, no 2, 204-231 p.
Rigid bod, y nonholonomic mechanics, rolling disk, sliding disk
IdentifiersURN: urn:nbn:se:liu:diva-127803DOI: 10.1134/S1560354716020052ISI: 000374286800005OAI: oai:DiVA.org:liu-127803DiVA: diva2:927875
Funding agencies: National Science Center of Poland [DEC-2013/09/B/ST1/04130]; Department of Mathematics of Linkoping University2016-05-132016-05-132016-05-19Bibliographically approved