Application of the WKB method to catenary-shaped slender structures

Chatjigeorgiou, IK

dc.contributor.author	Chatjigeorgiou, IK	en
dc.date.accessioned	2014-03-01T01:27:56Z
dc.date.available	2014-03-01T01:27:56Z
dc.date.issued	2008	en
dc.identifier.issn	0895-7177	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18647
dc.subject	Catenary	en
dc.subject	Eigenvalues	en
dc.subject	Slender structures	en
dc.subject	WKB	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Dynamic programming	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Euler equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Angle terms	en
dc.subject.other	Dynamic equilibrium	en
dc.subject.other	Euler Bernoulli beams	en
dc.subject.other	Slender structures	en
dc.subject.other	Approximation theory	en
dc.title	Application of the WKB method to catenary-shaped slender structures	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mcm.2007.08.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mcm.2007.08.012	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The purpose of this work is the derivation of closed form expressions for the linear vibration modes of catenary-shaped slender structures. The dynamic behaviour of the structure is described using the Euler-Bernoulli beam formulation with variable tension and angle terms. The desired expressions are obtained by treating the governing fourth-order partial differential equation of dynamic equilibrium using the WKB method [J. D. Logan, Applied Mathematics, second ed., Wiley Interscience, 1997]. (C) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mathematical and Computer Modelling	en
dc.identifier.doi	10.1016/j.mcm.2007.08.012	en
dc.identifier.isi	ISI:000255953900021	en
dc.identifier.volume	48	en
dc.identifier.issue	1-2	en
dc.identifier.spage	249	en
dc.identifier.epage	257	en