Non-linear cancellation of the parametric resonance in elastic beams: Theory and experiment

International Journal of Solids and Structures

Volumn 44, Issue 7-8, 2007, Pages 2209-2224

  Lacarbonara, Walter ^a   Yabuno, Hiroshi ^b   Hayashi, Keiichi ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Direct method of multiple scales; Non linear control; Parametric resonance; Resonance cancellation; Sub combination resonance

Indexed keywords

ACTUATORS; CERAMIC MATERIALS; ENERGY TRANSFER; PARAMETER ESTIMATION; PIEZOELECTRIC DEVICES; RESONANCE; VIBRATIONS (MECHANICAL);

DIRECT METHOD OF MULTIPLE SCALES; NON LINEAR CONTROL; PARAMETRIC RESONANCE; RESONANCE CANCELLATION; SUB COMBINATION RESONANCE;

NONLINEAR CONTROL SYSTEMS;

EID: 33846884857     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.07.004     Document Type: Article

References (12)

1. Fujino Y., Warnitchai P., and Pacheco B.M. Active stiffness control of cable vibration. Journal of Applied Mechanics 60 (1993) 948-953
2. Ji J.C., and Leung A.Y.T. Bifurcation control of a parametrically excited Duffing system. Nonlinear Dynamics 27 (2002) 411-417
3. Lacarbonara W., and Yabuno H. Closed-loop non-linear control of an initially imperfect beam with non-collocated input. Journal of Sound and Vibration 273 (2004) 695-711
4. Lacarbonara W., and Yabuno H. Refined models of elastic beams undergoing large in-plane motions: theory and experiment. International Journal of Solids and Structures 43 (2006) 5066-5084
5. Lacarbonara W., Chin C.-M., and Soper R.R. Open-loop non-linear vibration control of shallow arches via perturbation approach. Journal of Applied Mechanics 69 (2002) 325-334
6. Maccari A. The response of a parametrically excited van der Pol oscillator to a time delay state feedback. Nonlinear Dynamics 26 2 (2001) 105-119
7. Oueini S.S., and Nayfeh A.H. Single-mode control of a cantilever beam under principal parametric excitation. Journal of Sound and Vibration 224 1 (1999) 33-47
8. Oueini S.S., Nayfeh A.H., and Pratt J.R. A non-linear vibration absorber for flexible structures. Nonlinear Dynamics 15 (1998) 259-282
9. Soper R.R., Lacarbonara W., Nayfeh A.H., and Mook D.T. Open-loop resonance-cancellation control for a base-excited pendulum. Journal of Vibration and Control 7 (2001) 1265-1279
10. Watanabe T., Ohishi J., and Yasuda K. Robust damping control of power oscillation incorporating parametric resonance. Electrical Engineering in Japan 142 1 (2003) 42-49
11. Yabuno H., Murakami T., Kawazoe J., and Aoshima N. Suppression of parametric resonance with a pendulum. Journal of Vibration and Acoustics 126 (2004) 149-162
12. Yabuno H., Kanda R., Lacarbonara W., and Aoshima N. Non-linear active cancellation of the parametric resonance in a magnetically levitated body. Journal of Dynamic Systems, Measurement and Control 126 (2004) 433-442