Nonlinear dynamic analysis of circular plates with varying thickness

Nerantzaki, MS; Katsikadelis, JT

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:26:44Z
dc.date.available	2014-03-01T01:26:44Z
dc.date.issued	2007	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18204
dc.subject	Analog equation method	en
dc.subject	Boundary element method	en
dc.subject	Circular plate	en
dc.subject	Large deflections	en
dc.subject	Nonlinear	en
dc.subject	Variable thickness	en
dc.subject	Vibrations	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Dynamical systems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Thickness measurement	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Circular plates	en
dc.subject.other	Large deflections	en
dc.subject.other	Variable thickness	en
dc.subject.other	Nonlinear analysis	en
dc.title	Nonlinear dynamic analysis of circular plates with varying thickness	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-006-0097-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-006-0097-6	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The BEM is developed for nonlinear free and forced vibrations of circular plates with variable thickness undergoing large deflections. General boundary conditions are considered, which may be also nonlinear. The problem is formulated in terms of displacements. The solution is based on the concept of the analog equation, according to which the two coupled nonlinear differential equations with variable coefficients pertaining to the in-plane radial and transverse deformation are converted to two uncoupled linear ones of a substitute beam with unit axial and unit bending stiffness, respectively, under fictitious quasi-static load distributions. Numerical examples are presented which illustrate the method and demonstrate its accuracy. © Springer-Verlag 2007.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-006-0097-6	en
dc.identifier.isi	ISI:000245965000002	en
dc.identifier.volume	77	en
dc.identifier.issue	6	en
dc.identifier.spage	381	en
dc.identifier.epage	391	en