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

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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 http://hdl.handle.net/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


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