Dynamic finite element analysis of a gradient elastic bar with micro-inertia

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dc.contributor.author Filopoulos, SP en
dc.contributor.author Papathanasiou, TK en
dc.contributor.author Markolefas, SI en
dc.contributor.author Tsamasphyros, GJ en
dc.date.accessioned 2014-03-01T11:46:22Z
dc.date.available 2014-03-01T11:46:22Z
dc.date.issued 2009 en
dc.identifier.issn 01787675 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/37845
dc.subject Dispersion en
dc.subject Eigenfrequency en
dc.subject Finite elements en
dc.subject Gradient elasticity en
dc.subject Micro-inertia en
dc.subject Micro-mechanics en
dc.subject Modal analysis en
dc.title Dynamic finite element analysis of a gradient elastic bar with micro-inertia en
heal.type other en
heal.identifier.primary 10.1007/s00466-009-0453-9 en
heal.identifier.secondary http://dx.doi.org/10.1007/s00466-009-0453-9 en
heal.publicationDate 2009 en
heal.abstract We study the dynamic behavior of a first strain gradient elastic bar with micro-inertia by means of the finite element method. The partial differential equation describing the motion of the bar expressed in terms of displacement is of fourth order with respect to the spatial variable, therefore, for the standard Galerkin formulation, Hermite elements are required. Consistent mass matrices are employed. The results are validated by comparison with some special cases where the exact solutions are derivable. Dispersion relations for the longitudinal waves are also derived. The effect of micro-inertia in the dynamic response of the bar is analyzed and comparisons are made with the classical elastic case. It is found that the micro-inertia parameter considerably affects the dynamic response of the bar and the dispersion characteristics of longitudinal waves. © 2009 Springer-Verlag. en
heal.journalName Computational Mechanics en
dc.identifier.doi 10.1007/s00466-009-0453-9 en
dc.identifier.spage 1 en
dc.identifier.epage 9 en

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