Instability Regions in Flexural-Torsional Vibrations of Plates

dc.contributor.author	Egorov A.G.
dc.contributor.author	Affane B.
dc.date.accessioned	2021-02-26T20:45:12Z
dc.date.available	2021-02-26T20:45:12Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/163153
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. Abstract: The paper is devoted to study of the parametric resonance oftorsional vibrations caused by large-amplitude flexural vibrationsof cantilevered plates. In this study we considered the first tworesonant modes of flexural vibrations. The analytical study of theoriginal problem which is reduced to Hill equation, is based onthe WKB approximation. According to the obtained results, we builta map of instability gaps in the plane of the two process controlparameters. The conclusions are made about the possibility ofexperimentally detection the studied effect in real systems.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	flexural vibrations
dc.subject	Hill equation
dc.subject	instability gaps
dc.subject	parametric resonance
dc.subject	torsional vibrations
dc.title	Instability Regions in Flexural-Torsional Vibrations of Plates
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1167
dc.source.id	SCOPUS19950802-2020-41-7-SID85092665677

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