Experimental study of non-linear transient motion confinement in a system of coupled beams

Journal of Sound and Vibration

Volumn 195, Issue 4, 1996, Pages 629-648

  Aubrecht, J ^a   Vakakis, A F ^a   Tsao, T C ^a   Bentsman, J ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; CONTROL NONLINEARITIES; CONTROL SYSTEMS; FLEXIBLE STRUCTURES; SHOCK PROBLEMS; VIBRATIONS (MECHANICAL);

MOTION CONFINEMENT; MOTION DECAY;

DYNAMICS;

EID: 0030214119     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0451     Document Type: Article

References (23)

1. A. F. VAKAKIS 1992 Journal of Sound and Vibration 158, 341-361. Non-similar normal oscillations in a strongly non-linear discrete system.
2. A. F. VAKAKIS and C. CETINKAYA 1993 SIAM Journal on Applied Mathematics 53, 265-282. Mode localization in a class of multi-degree-of-freedom non-linear systems with cyclic symmetry.
3. A. F. VAKAKIS, T. NAYFEH and M. E. KING 1993 Journal of Applied Mechanics 60, 388-397. A multiple-scales analysis of non-linear, localized modes in a cyclic periodic system.
4. C. PIERRE and S. SHAW 1991 International Journal of Bifurcation and Chaos 1, 471-475. Mode localization due to symmetry-breaking nonlinearities.
5. M. E. KING and A. F. VAKAKIS 1995 Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) 75(2), 127-139. Mode localization in a system of coupled flexible beams with geometric nonlinearities.
6. J. AUBRECHT and A. F. VAKAKIS 1994 Journal of Vibration and Acoustics (in press). Localized and non-localized non-linear normal modes in a multi-span beam with geometric non-linearities.
7. W. G. BROWN 1993 Proceedings of the 11th International Modal Analysis Conference (IMAC), Orlando, Florida, February 1-4. Buffeting response of a bladed disc assembly.
8. O. O. BENDIKSEN 1987 AIAA Journal 25, 1241-1248. Mode localization phenomena in large space structures.
9. S.-T. WEI and C. PIERRE 1988 Journal of Vibration, Acoustics and Reliability in Design 110, 429-448. Localization phenomena in mistuned assemblies with cyclic symmetry.I - Free vibrations. II - Forced vibrations.
10. C. PIERRE and P. CHA 1989 AIAA Journal 27, 227-241. Strong mode localization in nearly periodic disordered structures.
11. M. B. LEVINE and M. A. SALAMA 1992 Proc. 33rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Dallas, Texas, April 13-15. Mode localization experiments on a ribbed antenna.
12. P. J. CORNWELL and O. O. BENDIKSEN 1989 AIAA Journal 27, 219-226. Localization of vibrations in large space reflectors.
13. C. H. HODGES and J. WOODHOUSE 1989 Journal of Sound and Vibration 130, 237-268. Confinement of vibration by one-dimensional disorder. I - Theory of ensemble averaging. II - A numerical experiment on different ensemble averages.
14. C. PIERRE 1990 Journal of Sound and Vibration 139, 111-132. Weak and strong vibration localization in disordered structures: a statistical investigation.
15. A. F. VAKAKIS 1994 AIAA Journal 32, 1902-1910. Passive motion confinement of impulsive responses in coupled non-linear beams.
16. P.-J. F. PAI 1992 Ph.D. Thesis, Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Non-linear flexural-flexural-torsional dynamics of metallic and composite beams.
17. D. J. EWINS 1987 Modal Analysis: theory and Practise. New York: John Wiley and Sons; Research Studies Press.
18. D. J. EWINS and A. F. VAKAKIS 1989 International Journal of Analytical and Experimental Modal Analysis 4, 144-149. An alternative method for modal analysis.
19. A. F. VAKAKIS 1991 Journal of Sound and Vibration 146, 361-380. A technique for modal identification of interfering modes.
20. J. PROAKIS and D. MANOLAKIS 1992 Digital Signal Processing: Principles, Algorithms, and Applications. New York: Macmillan Publishing Company.
21. G. F. FRANKLIN, D. J. POWELL and M. L. WORKMAN 1990 Digital Control of Dynamic Systems. New York: Addison-Wesley Publishing Company.
22. A. H. NAYFEH and D. MOOK 1984 Non-linear Oscillations. New York: Wiley Interscience.
23. J. A. S. AUBRECHT 1994 MSc Thesis, University of Illinois, Urbana, IL. Analytical and Experimental Non-linear Mode Localization in Continuous Systems.