A new measure of efficiency for model reduction: Application to a vibroimpact system

Journal of Sound and Vibration

Volumn 330, Issue 9, 2011, Pages 1977-1984

  Ritto, T G ^a   Buezas, F S ^b   Sampaio, Rubens ^c  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^c PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COSTS; CONSERVATIVE SYSTEMS; DIRECT METHOD; MODEL REDUCTION; NORMAL MODES; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELS; SNAPSHOT METHOD; TIME RESPONSE; VIBRO IMPACT SYSTEM; VIBROIMPACT PROBLEMS;

STRUCTURAL DYNAMICS;

EID: 79951578355     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2010.11.004     Document Type: Article

References (13)

1. M. Love, Probability Theory. Graduate Texts in Mathematics, fourth ed., Springer, USA, 1977.
2. P. Holmes, J.L. Lumley, and G. Berkooz Turbulence, Coherent Structures, Dynamical Systems and Symmetry 1996 Cambridge University Press Cambridge
3. S. Bellizzi, and R. Sampaio POMs analysis of randomly vibrating systems obtained from Karhunen-Love expansion Journal of Sound and Vibration 297 35 2006 774 793
4. S. Bellizzi, and R. Sampaio Smooth KarhunenLove decomposition to analyze randomly vibrating systems Journal of Sound and Vibration 23 4 2009 1218 1222
5. P. Glusmann, and E. Kreuzer On the application of KarhunenLove transform to transient dynamic systems Journal of Sound and Vibration 328 45 2009 507 519
6. A.R. Khattak, S. Garvey, and A. Popov Proper orthogonal decomposition of the dynamics in bolted joints Journal of Sound and Vibration 329 9 2010 1480 1498
7. M. Meyer, and H.G. Matthies Efficient model reduction in non-linear dynamics using the KarhunenLove expansion and dual-weighted-residual methods Computational Mechanics 31 2003 179 191
8. R. Sampaio, and C. Soize Remarks on the efficiency of POD for model reduction in non-linear dynamics of continuous elastic systems International Journal for Numerical Methods in Engineering 72 1 2007 22 45 (Pubitemid 47506033)
9. M.F.A. Azeez, and A.F. Vakakis Proper orthogonal decomposition (POD) of a class of vibroimpact oscillation Journal of Sound and Vibration 240 5 2001 859 889 (Pubitemid 32407487)
10. M.A. Trindade, C. Wolter, and R. Sampaio KarhunenLove decomposition of coupled axial/bending vibrations of beams subjected to impact Journal of Sound and Vibration 279 2005 1015 1036
11. K.J. Bathe Finite Element Procedures 1996 Prentice-Hall Inc. USA
12. C. Wolter, M.A. Trindade, and R. Sampaio Obtaining mode shapes through the KarhunenLove expansion for distributed-parameter linear systems Shock and Vibration 9 45 2002 177 192
13. E. Kreyszig Introductory Functional Analysis with Applications first ed. 1989 Wiley USA