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dc.contributor.authorAndrianov, Igor V.
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorDanishevskyy, Vladyslav V.
dc.contributor.authorMarkert, Bernd
dc.date.accessioned2016-07-11T11:11:10Z
dc.date.available2016-07-11T11:11:10Z
dc.date.issued2015
dc.identifier.citationDynamical systems : control and stability ; s. 19-28en_EN
dc.identifier.isbn9788372837080
dc.identifier.urihttp://hdl.handle.net/11652/1221
dc.description.abstractNonlinear longitudinal vibrations of a periodically heterogeneous rod are considered. Geometrical nonlinearity is described by the Cauchy–Green strain tensor. Physical nonlinearity is modelled expressing the energy of deformation as a series expansion in powers of the strains. The governing macroscopic dynamical equation is obtained by the higher-order asymptotic homogenization method. An asymptotic solution is developed by the method of multiple time scales. The effects of internal resonances and modes coupling are predicted. The specific objective of the paper is to analyse how the presence of the microstructure influences on the processes of mode interactions. It is shown that depending on a scaling relation between the amplitude of the vibrations and the size of the unit cell different scenarios of the modes coupling can be realised.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.subjectdrganie nieliniowepl_PL
dc.subjectdrgania wzdłużnepl_PL
dc.subjectmikrostrukturapl_PL
dc.subjectodkształceniapl_PL
dc.subjectamplituda drgańpl_PL
dc.subjectteoria systemówpl_PL
dc.subjectsystemy dynamicznepl_PL
dc.titleInternal resonances in nonlinear vibrations of a continuous rod with microstructure.en_EN
dc.typeArtykułen_EN


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