Closed-loop non-linear control of an initially imperfect beam with non-collocated input

Journal of Sound and Vibration

Volumn 273, Issue 4-5, 2004, Pages 695-711

  Lacarbonara, W ^a   Yabuno, H ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; HARMONIC ANALYSIS; VIBRATION CONTROL;

CONTROL STRATEGY; PERTURBATION EXPANSION; PIEZOCERAMICS;

CLOSED LOOP CONTROL SYSTEMS;

EID: 2542558875     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.05.001     Document Type: Article

References (16)

1. A.H. Nayfeh, D.T. Mook, Nonlinear Oscillations, Wiley-Interscience, New York, 1979.
2. Y. Fujino, P. Warnitchai, B.M. Pacheco, Active stiffness control of cable vibration, American Society of Mechanical Engineers, Journal of Applied Mechanics 60 (1993) 948-953.
3. V. Gattulli, M. Pasca, F. Vestroni, Nonlinear oscillations of a nonresonant cable under in-plane excitation with a longitudinal control, Nonlinear Dynamics 14 (1997) 139-156.
4. S.S. Oueini, A.H. Nayfeh, J.R. Pratt, A nonlinear vibration absorber for flexible structures, Nonlinear Dynamics 15 (1998) 259-282.
5. H. Yabuno, J. Kawazoe, N. Aoshima, Suppression of parametric resonance of a cantiliver beam by a pendulum-type vibration absorber, in: Proceedings of the 17th Biennial ASME Conference on Mechanical Vibration and Noise, Las Vegas, NV, 1999.
6. H. Yabuno, S. Saigusa, N. Aoshima, Stabilization of the parametric resonance of a cantilever beam by bifurcation control with a piezoelectric actuator, Nonlinear Dynamics 26 (2001) 143-161.
7. A. Maccari, Vibration control for the primary resonance of a cantilever beam by time delay state feedback, Journal of Sound and Vibration 259 (2003) 241-251.
8. W. Lacarbonara, R.R. Soper, C.-M. Chin, Nonlinear vibration control of distributed-parameter systems: a perturbation approach, in: Proceedings of the ASME Materials & Mechanics Conference, Blacksburg, VA, 1999.
9. W. Lacarbonara, C.M. Chin, R.R. Soper, Open-loop nonlinear vibration control of shallow arches via perturbation approach, Journal of Applied Mechanics 69 (2002) 325-334.
10. R.R. Soper, W. Lacarbonara, C.M. Chin, A.H. Nayfeh, D.T. Mook, Open-loop resonance-cancellation control for a base-excited pendulum, Journal of Vibration and Control 1 (2001) 1265-1279.
11. R. Kanda, H. Yabuno, W. Lacarbonara, N. Aoshima, Stabilization of the parametric resonance in a magnetically levitated body using a nonlinear pendulum-type vibration absorber, in: Proceedings of the 9th International Conference on Sound and Vibration, Orlando, FL, 2002.
12. E. Mettler, Dynamic buckling, in: W. Flugge (Ed.), Handbook of Engineering Mechanics, McGraw-Hill, New York, 1962.
13. J.L. Fanson, T.K. Caughey, Positive position feedback for large space structures, American Institute of Aeronautics and Astronautics Journal 28 (1990) 717-724.
14. W. Lacarbonara, G. Rega, Resonant nonlinear normal modes of shallow one-dimensional structural systems. Part II: activation/orthogonality conditions, International Journal of Non-Linear Mechanics 38 (2003) 873-887.
15. A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley-Interscience, New York, 1981.
16. W. Lacarbonara, A.H. Nayfeh, W. Kreider, Experimental validation of reduction methods for weakly nonlinear distributed-parameter systems: analysis of a buckled beam, Nonlinear Dynamics 17 (1998) 95-117.