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Free vibration analysis of elastic rods using global collocation

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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


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