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contributor authorDimitris S. Sophianopoulos
contributor authorResearch Fellow
contributor authorGeorge T. Michaltsos
date accessioned2017-05-09T00:11:54Z
date available2017-05-09T00:11:54Z
date copyrightJanuary, 2003
date issued2003
identifier issn1048-9002
identifier otherJVACEK-28864#73_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/129380
description abstractThe present work offers a simple and efficient analytical treatment of the in-plane undamped vibrations of simply supported parabolic arches under parametric excitation. After thoroughly dealing with the free vibration characteristics of the structure dealt with, the differential equations of the forced motion caused by a time dependent axial loading of the form P=P0+Pt cos θt 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.
publisherThe American Society of Mechanical Engineers (ASME)
titleAnalytical Treatment of In-Plane Parametrically Excited Undamped Vibrations of Simply Supported Parabolic Arches
typeJournal Paper
journal volume125
journal issue1
journal titleJournal of Vibration and Acoustics
identifier doi10.1115/1.1521952
journal fristpage73
journal lastpage79
identifier eissn1528-8927
keywordsVibration
keywordsArches
keywordsEquations
keywordsFree vibrations
keywordsDifferential equations
keywordsDynamic stability AND Motion
treeJournal of Vibration and Acoustics:;2003:;volume( 125 ):;issue: 001
contenttypeFulltext


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