Free vibrations of circular plates with axisymmetric thickness variation

Nerantzaki, MS

dc.contributor.author	Nerantzaki, MS	en
dc.date.accessioned	2014-03-01T01:28:29Z
dc.date.available	2014-03-01T01:28:29Z
dc.date.issued	2008	en
dc.identifier.issn	0309-3247	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18851
dc.subject	Analogue equation method	en
dc.subject	Boundary elements	en
dc.subject	Circular plate	en
dc.subject	Integral equation method	en
dc.subject	Variable thickness	en
dc.subject	Vibrations	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Materials Science, Characterization & Testing	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Integral equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Thickness control	en
dc.subject.other	Variational techniques	en
dc.subject.other	Vibration analysis	en
dc.subject.other	Axisymmetric thickness	en
dc.subject.other	Boundary elements	en
dc.subject.other	Circular plates	en
dc.subject.other	Free vibrations	en
dc.subject.other	Variable thickness	en
dc.subject.other	Plates (structural components)	en
dc.title	Free vibrations of circular plates with axisymmetric thickness variation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1243/03093247JSA321	en
heal.identifier.secondary	http://dx.doi.org/10.1243/03093247JSA321	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The integral equation method is developed for vibration analysis of solid circular plates with arbitrary thickness variation along the radius. General boundary conditions are considered. The problem is formulated in terms of displacements. The resulting fourth-order linear hyperbolic equation with variable coefficients is solved using the analogue equation method of Katsikadelis. According to this method the linear governing differential equation is replaced by a linear equation of a substitute beam with unit bending stiffness, under a fictitious load distribution. Numerical examples are presented for plates with various thickness variation laws, which illustrate the method and demonstrate its efficiency and accuracy. © IMechE 2008.	en
heal.publisher	PROFESSIONAL ENGINEERING PUBLISHING LTD	en
heal.journalName	Journal of Strain Analysis for Engineering Design	en
dc.identifier.doi	10.1243/03093247JSA321	en
dc.identifier.isi	ISI:000255110700004	en
dc.identifier.volume	43	en
dc.identifier.issue	3	en
dc.identifier.spage	177	en
dc.identifier.epage	185	en