On the influence of external stochastic excitation on linear oscillators with subcritical self-excitation and gyroscopic influence with application to brake squeal

dc.contributor.authorNguyen-Thai, Minh-Tuan
dc.contributor.authorWulff, Paul
dc.contributor.authorGräbner, Nils
dc.contributor.authorWagner, Utz von
dc.date.accessioned2020-06-18T12:49:49Z
dc.date.available2020-06-18T12:49:49Z
dc.date.issued2020-06-17
dc.description.abstractIn a linear analysis for brake squeal, an unwanted type of sound in the kHz-range produced during the braking process of vehicles, usually only the stability of the system is examined. However, with the appearance of additional stochastic excitation, the vibration of a linear system with subcritical self-excitation, i.e. having self-excitation but due to damping still an asymptotically stable trivial solution, may be large enough to produce a squeal sound. In this paper, this hypothesis of stochastically reinforced self-excitation is supported by a case study on a wobbling diskmodel for brake squeal, which includes both circulatory and gyroscopic forces. For this example, the Fokker-Planck equation is solved and numerical integrations are performed. A short parameter study is carried out to examine the effect of damping and gyroscopic terms on these stochastically reinforced self-excitation. The results suggest that this possibility should be considered additionally to classical explanations of brake squeal.en
dc.identifier.eissn1521-4001
dc.identifier.issn0044-2267
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11330
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10216
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc621 Angewandte Physikde
dc.subject.otherbrake squealen
dc.subject.otherstochastic excitationen
dc.subject.otherstochastically reinforced self-excitationen
dc.subject.othergyroscopic effectsen
dc.titleOn the influence of external stochastic excitation on linear oscillators with subcritical self-excitation and gyroscopic influence with application to brake squealen
dc.typeArticleen
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.articlenumbere202000113en
dcterms.bibliographicCitation.doi10.1002/zamm.202000113en
dcterms.bibliographicCitation.journaltitleZAMM : journal of applied mathematics and mechanics = Zeitschrift für angewandte Mathematik und Mechaniken
dcterms.bibliographicCitation.originalpublishernameWiley-VCHen
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
tub.accessrights.dnbdomain*
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Mechatronische Maschinendynamikde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Mechatronische Maschinendynamikde
tub.affiliation.instituteInst. Mechanikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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