Author:
Rauen Mateus,Machado Roberto Dalledone,Arndt Marcos
Abstract
Purpose
The purpose of this paper is to check the efficiency of isogeometric analysis (IGA) by comparing its results with classical finite element method (FEM), generalized finite element method (GFEM) and other enriched versions of FEM through numerical examples of free vibration problems.
Design/methodology/approach
Since its conception, IGA was widely applied in several problems. In this paper, IGA is applied for free vibration of elastic rods, beams and trusses. The results are compared with FEM, GFEM and the enriched methods, concerning frequency spectra and convergence rates.
Findings
The results show advantages of IGA over FEM and GFEM in the frequency error spectra, mostly in the higher frequencies.
Originality/value
Isogeometric analysis shows a feasible tool in structural analysis, with emphasis for problems that requires a high amount of vibration modes.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference35 articles.
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4. An adaptive generalized finite element method applied to free vibration analysis of straight bars and trusses;Journal of Sound and Vibration,2010
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