Analytical treatment of in-plane parametrically excited undamped vibrations of simply supported parabolic arches

Sophianopoulos, DS; Michaltsos, GT

dc.contributor.author	Sophianopoulos, DS	en
dc.contributor.author	Michaltsos, GT	en
dc.date.accessioned	2014-03-01T01:18:39Z
dc.date.available	2014-03-01T01:18:39Z
dc.date.issued	2003	en
dc.identifier.issn	1048-9002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15138
dc.subject	Parametric Excitation	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Arches	en
dc.subject.other	Civil engineering	en
dc.subject.other	Damping	en
dc.subject.other	Differential equations	en
dc.subject.other	Finite element method	en
dc.subject.other	Cell Discretization Method (CDM)	en
dc.subject.other	Vibrations (mechanical)	en
dc.title	Analytical treatment of in-plane parametrically excited undamped vibrations of simply supported parabolic arches	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.1521952	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.1521952	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	The present work offers a simple and efficient analytical treatment of the in-plane un-damped vibrations of simply supported parabolic arches under parametric excitation. After thoroughly dealing with the free vibration characteristics of the structure dealt with, the diffierential equations of the forced motion caused by a time dependent axial loading of the form P = P-0 + P-t cos thetat are reduced to a set of Mathieu-Hill type equations. These may be thereafter tackled and the dynamic stability problem comprehensively discussed. An illustrative example based on Bolotin's approach produces results validating the proposed method.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Vibration and Acoustics, Transactions of the ASME	en
dc.identifier.doi	10.1115/1.1521952	en
dc.identifier.isi	ISI:000180541300012	en
dc.identifier.volume	125	en
dc.identifier.issue	1	en
dc.identifier.spage	73	en
dc.identifier.epage	79	en