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A model of a spring-mass-damper system with temperature-dependent friction

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A model of a spring-mass-damper system with temperature-dependent friction

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dc.contributor.author Migórski, Stanisław [SAP11012338] pl
dc.contributor.author Ochal, Anna [SAP11015595] pl
dc.contributor.author Shillor, Meir pl
dc.contributor.author Sofonea, Mircea pl
dc.date.accessioned 2015-03-05T08:15:55Z
dc.date.available 2015-03-05T08:15:55Z
dc.date.issued 2014 pl
dc.identifier.issn 0956-7925 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3551
dc.language eng pl
dc.title A model of a spring-mass-damper system with temperature-dependent friction pl
dc.type JournalArticle pl
dc.description.physical 45-64 pl
dc.abstract.en This work models and analyses the dynamics of a general spring-mass-damper system that is in frictional contact with its support, taking into account frictional heat generation and a reactive obstacle. Friction, heat generation and contact are modelled with subdifferentials of, possibly non-convex, potential functions. The model consists of a non-linear system of first-order differential inclusions for the position, velocity and temperature of the mass. The existence of a global solution is established and additional assumptions yield its uniqueness. Nine examples of conditions arising in applications, for which the analysis results are valid, are presented. pl
dc.description.volume 25 pl
dc.description.number 1 pl
dc.identifier.doi 10.1017/S0956792513000272 pl
dc.identifier.eissn 1469-4425 pl
dc.title.journal European Journal of Applied Mathematics pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania pl
dc.subtype Article pl
dc.rights.original bez licencji pl
.pointsMNiSW [2014 A]: 35


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