Active control with delay of horseshoes chaos using piezoelectric absorber on a buckled beam under parametric excitation

Chaos, Solitons and Fractals

Volumn 32, Issue 1, 2007, Pages 73-79

  Nana Nbendjo, B R ^a   Woafo, P ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; CHAOS THEORY; PIEZOELECTRIC DEVICES; THRESHOLD ELEMENTS; VIBRATIONS (MECHANICAL);

CHAOTIC VIBRATIONS; MELNIKOV FUNCTIONS; PARAMETRIC EXCITATION; PIEZOELECTRIC ABSORBER;

DELAY CONTROL SYSTEMS;

EID: 33748530688     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.10.070     Document Type: Article

References (21)

1. Fuller C.R., Eliot S.J., and Nelson P.A. Active control of vibration (1997), Academic Press, London
2. Soong T.T. Active structurals control: Theory and practice (1950), John Wiley, New York
3. Pinto O.C., and Goncalves P.B. Active non-linear control of buckling and vibrations of a flexible buckled beam. Chaos, Solitons & Fractals 14 (2002) 227-239
4. Jezequel L. Active control in mechanical engineering (1995), Editions HERMES
5. Nana Nbendjo B.R., Tchoukuegno R., and Woafo P. Active control with delay of vibration and chaos in a double-well Duffing oscillator. Chaos, Solitons & Fractals 18 (2003) 345-353
6. Sae J.S., Moon Kwak K., and Iman D.J. Vibration suppression of a cantilever beam using eddy current damper. J Sound Vib 284 (2005) 805-824
7. Zhang W. Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited beam. Chaos, Solitons & Fractals 26 (2005) 731-745
8. Ganesan N., and Badeep V. Buckling and vibration of sandwich beams with viscoelastic core under thermals environments. J Sound Vib 286 (2005) 1067-1074
9. Liao J.J., Wong A.P., Ho C.M., and Hwang Y.D. A robust control of a dynamic beam structure with time delay feedback. J Sound Vib 252 (2002) 835-847
10. Lenci S., Menditto G., and Tarantino A.M. Homoclinic bifurcations in the non-linear dynamics of a beam resting on a elastic substrate. Int J Nonlinear Mech 34 (1999) 615-632
11. Yagasaki K. Bifurcations and chaos in a quasi-periodically forced beam: theory simulation and experiment. Int J Nonlinear Mech 183 1 (1995) 1-31
12. Holmes P. A nonlinear oscillator with a strange attractor. Philos Trans R Soc Lond Ser 282 (1979) 419
13. Yagazaki K. Homoclinic and heteroclinic behavior in a infinite-degree of freedom hamiltonian system chaotic free an undamped, buckled beam. Phys Lett A 285 (2001) 55-62
14. Holmes J.E., and Marsden J.E. Short wavelength bifurcations and size instabilities in coupled oscillator systems. ASME J Appl Mech 38 (1981) 467
15. Tseng W.Y., and Dugundji J. Nonlinear vibration of beam under excitation. Trans ASME J Appl Mech 38 (1971) 467
16. Moon F.C., and Holmes P.J. Nonlinear oscillations. J Sound Vib 65 (1979) 275
17. Parthasarathy S. Homoclinic bifurcation sets of the parametrically driven Duffing oscillator. IEEE Trans Circ Syst 46 (1992) 2147-2150
18. Tsai M.S., and Wang K.W. On the structural damping characteristics of active piezoelectric actuators with passive shunt. J Sound Vib 221 1 (1999) 1-22
19. Gao J.X., and Shen Y.P. Active control of geometrically nonlinear transient vibration of composite plates with piezoelctric actuators. J Sound Vib 264 (2003) 911-928
20. Morgan R.A., and Wang A.W. An active-passive piezoelectric absorber for structural vibration control under harmonic excitations with time-varying frequency, part1: algorithm development and analysis. J Sound Vib 124 (2002) 77-83
21. 6 potential. Ph.D. Thesis, University of Yaounde I. Cameroon. 2004.