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DC poleHodnotaJazyk
dc.contributor.authorDupal, Jan
dc.contributor.authorZajíček, Martin
dc.date.accessioned2020-12-09T07:47:30Z
dc.date.available2020-12-09T07:47:30Z
dc.date.issued2020
dc.identifier.citationApplied and Computational Mechanics. 2020, vol. 14, no. 2, p. 123-144.en
dc.identifier.issn1802-680X (Print)
dc.identifier.issn2336-1182 (Online)
dc.identifier.urihttp://hdl.handle.net/11025/42272
dc.format22 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.rights© University of West Bohemiaen
dc.subjectvibracecs
dc.subjectperiodická odezvacs
dc.subjectstabilitacs
dc.subjectintegro-diferenciální rovnicecs
dc.subjectperiodická Greenova funkcecs
dc.titleExistence of analytical solution, stability assessment and periodic response of vibrating systems with time varying parametersen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedThe paper is focused on a solution of a vibrating system with one-degree-of-freedom (1 DOF). The goal of this presentation is to deal with the method for periodical response calculation (if exists) reminding Harmonic Balance Method (HBM) of linear systems having time dependent parameters of mass, damping and stiffness under arbitrary periodical excitation. As a starting point of the investigation, a periodic Green’s function (PGF) construction of the stationary part of the original differential equation is used. The PGF then enables a transformation of the differential equation to the integro-differential one whose analytical solution is given in this paper. Such solution exists only in case that the investigated system is stable and can be expressed in exact form. The second goal of the paper is stability and solution existence assessment. For this reason a methodology of (in)stable parametric domain border determination has been accurately developed.en
dc.subject.translatedvibrationen
dc.subject.translatedperiodic responseen
dc.subject.translatedstabilityen
dc.subject.translatedintegro-differential equationen
dc.subject.translatedperiodic Green’s functionen
dc.identifier.doihttps://doi.org/10.24132/acm.2020.532
dc.type.statusPeer-revieweden
Vyskytuje se v kolekcích:Články / Articles (NTIS)
Volume 14, Number 2 (2020)
Volume 14, Number 2 (2020)

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  1. DSpace at University of West Bohemia
  2. Publikace ZČU / UWB Publications
  3. Časopisy ZČU / UWB Journals
  4. Applied and Computational Mechanics
  5. Volume 14 (2020)
  6. Volume 14, Number 2 (2020)