Free vibration analysis of two-dimensional structures using Coons-patch macroelements

Provatidis, C

dc.contributor.author	Provatidis, C	en
dc.date.accessioned	2014-03-01T01:24:26Z
dc.date.available	2014-03-01T01:24:26Z
dc.date.issued	2006	en
dc.identifier.issn	0168-874X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17259
dc.subject	CAD/CAE	en
dc.subject	Coons interpolation	en
dc.subject	Large elements	en
dc.subject	Macroelements	en
dc.subject	Natural frequencies	en
dc.subject	Two-dimensional structures	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Natural frequencies	en
dc.subject.other	Coons interpolation	en
dc.subject.other	Large elements	en
dc.subject.other	Macroelements	en
dc.subject.other	Two-dimensional structures	en
dc.subject.other	Structural analysis	en
dc.title	Free vibration analysis of two-dimensional structures using Coons-patch macroelements	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.finel.2005.10.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.finel.2005.10.002	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Recently, Coons' interpolation was used for the construction of large finite elements with degrees of freedom appearing mostly along the boundaries of a structure. In the regime of elasticity problems, these so-called ""Coons-patch macroelements"" were successfully applied to the static analysis of plane structures [C.G. Provatidis, Analysis of axisymmetric structures using Coons' interpolation, Finite Elem. Anal. Des. 39 (2003) 535-558.] while this paper continues the research by investigating their performance in the extraction of natural frequencies and mode shapes. Apart from the piecewise-linear and cubic B-splines interpolation previously used, the performance of Lagrange polynomials and the role of additional internal nodes is studied here. Relationships with classical Serendipity and Lagrangian type elements are discussed. Moreover, the capability of Coons-patch macroelements to couple with conventional finite elements is investigated. The proposed method was applied to three illustrative examples and it was successfully compared with conventional bilinear finite elements. © 2005 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Finite Elements in Analysis and Design	en
dc.identifier.doi	10.1016/j.finel.2005.10.002	en
dc.identifier.isi	ISI:000235744800005	en
dc.identifier.volume	42	en
dc.identifier.issue	6	en
dc.identifier.spage	518	en
dc.identifier.epage	531	en