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dc.contributor.authorKosińska, Angelika
dc.contributor.authorGrzelczyk, Dariusz
dc.contributor.authorAwrejcewicz, Jan
dc.date.accessioned2016-07-11T11:00:01Z
dc.date.available2016-07-11T11:00:01Z
dc.date.issued2015
dc.identifier.citationDynamical systems : control and stability ; s. 327-340en_EN
dc.identifier.isbn9788372837080
dc.identifier.urihttp://hdl.handle.net/11652/1216
dc.description.abstractThe paper introduces a model of two identical coupled 4-DOF mechanical linear sliding systems with dry friction coupled with each other by a linear torsional spring. The appropriate components (bodies) of the coupled systems are riding on two separated driving belts, which are driven at constant velocities, and stick-slip vibrations can be observed. In this case the physical interpretation of the considered model could be two rows of carriages laying on the guideways and coupled by an elastic shaft, which are moving at constant velocity with respect to the guideways as a foundation. From a mathematical point of view the analyzed problem is governed by eight nonlinear ordinary second order differential equations of motion yielded by the second kind Lagrange equations. Numerical analysis is performed in Mathematica software using the qualitative and quantitative theories of differential equations. Some interesting non-linear system dynamics are detected and reported using the phase portraits and the Poincaré maps. Next, power spectra obtained by the FFT technique are reported. The presented results show periodic, quasi-periodic, chaotic and hyperchaotic orbits. Moreover, synchronization effects between the coupled systems are also detected and studied.en_EN
dc.language.isoenen_EN
dc.publisherPolitechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.pl_PL
dc.relation.ispartofseriesDynamical systems : control and stability, 2015en_EN
dc.subjectsystems theory - conferenceen_EN
dc.subjectdynamical systems - conferenceen_EN
dc.subjectteoria systemówpl_PL
dc.subjectsystemy dynamicznepl_PL
dc.subjectsystem przesuwnypl_PL
dc.subjectsuche tarciepl_PL
dc.subjectmechaniczne systemypl_PL
dc.subjectanaliza numerycznapl_PL
dc.titleDynamics of two coupled 4-DOF mechanical linear sliding systems with dry friction.en_EN
dc.typeArtykułen_EN


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