Free vibration analysis of elastic rods using global collocation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:28:25Z
dc.date.available	2014-03-01T01:28:25Z
dc.date.issued	2008	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18850
dc.subject	collocation	en
dc.subject	spectral methods	en
dc.subject	finite element	en
dc.subject	eigenvalue problem	en
dc.subject	elastodynamics	en
dc.subject.classification	Mechanics	en
dc.subject.other	COONS-PATCH MACROELEMENTS	en
dc.subject.other	ISOGEOMETRIC ANALYSIS	en
dc.subject.other	NURBS	en
dc.title	Free vibration analysis of elastic rods using global collocation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-007-0159-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-007-0159-4	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	This paper investigates the performance of a novel global collocation method for the eigenvalue analysis of freely vibrated elastic structures when either basis or shape functions are used to approximate the displacement field. Although the methodology is generally applicable, numerical results are presented only for rods in which one-dimensional basis functions in the form of a power series, as well as equivalent Lagrange, Bernstein or Chebyshev polynomials are used. The new feature of the proposed methodology is that it can deal with any type of boundary conditions; therefore, the cases of two Dirichlet as well as one Dirichlet and one Neumann condition were successfully treated. The basic finding of this work is that all these polynomials lead to results identical to those obtained by the power series expansion; therefore, the solution depends on the position of the collocation points only.	en
heal.publisher	SPRINGER	en
heal.journalName	ARCHIVE OF APPLIED MECHANICS	en
dc.identifier.doi	10.1007/s00419-007-0159-4	en
dc.identifier.isi	ISI:000253346300001	en
dc.identifier.volume	78	en
dc.identifier.issue	4	en
dc.identifier.spage	241	en
dc.identifier.epage	250	en