In-plane vibration of circular arches with variable cross-sections

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DOIResolve DOI: http://doi.org/10.1006/jsvi.1997.1441
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TypeArticle
Journal titleJournal of Sound and Vibration
Volume212
Issue1
Pages121140; # of pages: 20
AbstractFree and forced in-plane vibrations of circular arches with variable cross-sections are investigated. Using the Kirchhoff assumptions for thin beams and taking the neutral axis as inextensible, a closed form solution is obtained for circular arches of uniform cross-section. This exact solution is used for circular arches with stepped cross-sections and is applied to obtain an approximate solution for arches with non-uniform cross-sections. For free vibration, an analytic form of frequency equation is obtained by using the general solution expressed in terms of some initial parameters at one end of the arch; while for forced vibration, the system's response is obtained analytically by solving a set of algebraic equations with only three unknowns. Several examples are presented to illustrate the validity and accuracy of the method.
Publication date
LanguageEnglish
AffiliationNRC Institute for Aerospace Research; National Research Council Canada; NRC Centre for Surface Transportation Technology
Peer reviewedNo
NRC numberSMPL-1997-0024
NPARC number8930831
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Record identifier4cddba71-60ce-40c4-aeab-380bf569ad8a
Record created2009-04-23
Record modified2016-05-09
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