Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/emerald-publishing/isogeometric-analysis-of-free-vibration-of-framed-structures-9a0ZFtR3cY
References (30)
-
M. Arndt, R. Machado, M. Hecke (2003)
The composite element method applied to free vibration analysis of trusses and beamsApplied Numerical Mathematics, 47
-
T. Strouboulis, K. Copps, I. Babuska (2001)
The generalized finite element methodComputer Methods in Applied Mechanics and Engineering, 190
-
E. Kaestner (2016)
Finite Element Method Linear Static And Dynamic Finite Element Analysis -
J. Melenk, I. Babuska (1996)
The partition of unity finite element method: Basic theory and applicationsComputer Methods in Applied Mechanics and Engineering, 139
-
A. Torii, R. Machado, M. Arndt (2015)
GFEM for modal analysis of 2D wave equationEngineering Computations, 32
-
Yong Lu, H. Hao, G. Ma, Yingxin Zhou (2001)
Simulation of structural response under high‐frequency ground excitationEarthquake Engineering & Structural Dynamics, 30
-
C. Boor (1972)
On Calculating B-splinesJournal of Approximation Theory
-
Haijun Wu, W. Ye, Weikang Jiang (2015)
Isogeometric finite element analysis of interior acoustic problemsApplied Acoustics, 100
-
J. Cottrell, Thomas Hughes, Y. Bazilevs (2009)
Isogeometric Analysis: Toward Integration of CAD and FEA -
L. Dede’, C. Jäggli, A. Quarteroni (2015)
Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagationComputer Methods in Applied Mechanics and Engineering, 284
-
L. Hazard, P. Bouillard (2007)
Structural dynamics of viscoelastic sandwich plates by the partition of unity finite element methodComputer Methods in Applied Mechanics and Engineering, 196
-
P. Zeng (1998)
COMPOSITE ELEMENT METHOD FOR VIBRATION ANALYSIS OF STRUCTURE, PART I: PRINCIPLE ANDC0ELEMENT (BAR)Journal of Sound and Vibration, 218
-
J. Cottrell, A. Reali, Y. Bazilevs, T. Hughes (2006)
Isogeometric Analysis of Structural VibrationsComputer Methods in Applied Mechanics and Engineering, 195
-
N. Ganesan, R. Engels (1992)
Hierarchical Bernoulli-Euler beam finite elementsComputers & Structures, 43
-
T. Hughes, J. Cottrell, Y. Bazilevs (2005)
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinementComputer Methods in Applied Mechanics and Engineering, 194
-
P. Zeng (1998)
COMPOSITE ELEMENT METHOD FOR VIBRATION ANALYSIS OF STRUCTURE, PART II:C1ELEMENT (BEAM)Journal of Sound and Vibration, 218
-
M. Arndt, R. Machado, Adriano Scremin (2011)
The Generalized Finite Element Method Applied to Free Vibration of Framed Structures -
M. Arndt, R. Machado, M. Hecke (2002)
An introduction to the composite element method applied to the vibration analysis of trussesShock and Vibration, 9
-
E. Bel, P. Villon, P. Bouillard (2005)
Forced vibrations in the medium frequency range solved by a partition of unity method with local informationInternational Journal for Numerical Methods in Engineering, 62
-
M. Petyt (2010)
Introduction to Finite Element Vibration Analysis: Frontmatter -
R. Engels (1992)
Finite Element Modeling of Dynamic Behavior of Some Basic Structural MembersJournal of Vibration and Acoustics, 114
-
K. Bathe (1995)
Finite Element Procedures -
M. Cox (1972)
The Numerical Evaluation of B-SplinesIma Journal of Applied Mathematics, 10
-
M. Arndt, R. Machado, Adriano Scremin (2010)
An adaptive generalized finite element method applied to free vibration analysis of straight bars and trussesJournal of Sound and Vibration, 329
-
J. Gartner, N. Olgaç (1982)
Improved numerical computation of uniform beam characteristic values and characteristic functionsJournal of Sound and Vibration, 84
-
A. Leung, J. Chan (1998)
FOURIERp-ELEMENT FOR THE ANALYSIS OF BEAMS AND PLATESJournal of Sound and Vibration, 212
-
A. Torii, R. Machado (2012)
Structural dynamic analysis for time response of bars and trusses using the generalized finite element methodLatin American Journal of Solids and Structures, 9
-
Pan Zeng (1997)
Introduction to Composite Element Method for Structural Analysis in EngineeringKey Engineering Materials, 145-149
-
Yong Lu, H. Hao, G. Ma (2002)
Experimental investigation of structural response to generalized ground shock excitationsExperimental Mechanics, 42
-
K. Nguyen, H. Nguyen-Xuan (2015)
An isogeometric finite element approach for three-dimensional static and dynamic analysis of functionally graded material plate structuresComposite Structures, 132
- Publisher
- Emerald Publishing
- Copyright
- Copyright © Emerald Group Publishing Limited
- ISSN
- 0264-4401
- DOI
- 10.1108/EC-08-2015-0227
- Publisher site
- See Article on Publisher Site
Abstract
PurposeThe 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/approachSince 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.FindingsThe results show advantages of IGA over FEM and GFEM in the frequency error spectra, mostly in the higher frequencies.Originality/valueIsogeometric analysis shows a feasible tool in structural analysis, with emphasis for problems that requires a high amount of vibration modes.
Journal
Engineering Computations: International Journal for Computer-Aided Engineering and Software – Emerald Publishing
Published: Apr 18, 2017