Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment

International Journal of Non-Linear Mechanics

Volumn 42, Issue 5, 2007, Pages 773-788

  Georgiades, Fotios ^a   Vakakis, Alexander F ^a   Kerschen, Gaetan ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Flexible systems; Non linear resonance; Non linear targeted energy pumping

Indexed keywords

ENERGY TRANSFER; FINITE ELEMENT METHOD; HILBERT SPACES; NONLINEAR SYSTEMS; SIGNAL PROCESSING; TIME SERIES ANALYSIS; WAVELET TRANSFORMS;

FLEXIBLE SYSTEMS; NONLINEAR ENERGY SINK (NES); NONLINEAR RESONANCE; NONLINEAR TARGETED ENERGY PUMPING;

LIGHT WEIGHT STRUCTURES;

EID: 34347348094     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2007.03.005     Document Type: Article

References (13)

1. Lee Y.S., Kerschen G., Vakakis A.F., Panagopoulos P.N., Bergman L.A., and McFarland D.M. Complicated dynamics of a linear oscillator with a light, essentially non-linear attachment. Physica D 204 1-2 (2005) 41-69
2. Kerschen G., Lee Y.S., Vakakis A.F., McFarland D.M., and Bergman L.A. Irreversible passive energy transfer in coupled oscillators with essential non-linearity. SIAM J. Appl. Math. 66 2 (2005) 648-679
3. McFarland D.M., Kerschen G., Kowtko J., Lee Y.S., Bergman L.A., and Vakakis A.F. Experimental investigation of targeted energy transfers in strongly and non-linearly coupled oscillators. J. Acoust. Soc. Am. 118 2 (2005) 791-799
4. V.I. Arnold (Ed.), Dynamical Systems III, Encyclopaedia of Mathematical Sciences, Springer, Berlin, New York, 1988.
5. Quinn D. Resonance capture in a three degree of freedom mechanical system. Nonlinear Dyn. 14 (1997) 309-333
6. Georgiades F., and Vakakis A.F. Dynamics of a linear beam with an attached local non-linear energy sink. Commun. Non-linear Sci. Numer. Simulat. 12 5 (2007) 643-651
7. Vakakis A.F., Manevitch L.I., Musienko A., Kerschen G., and Bergman L.A. Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment. Wave Motion 41/2 (2004) 109-132
8. Geradin M., and Rixen D. Mechanical Vibrations, Theory and Application to Structural Dynamics (1997), Wiley, New York
9. Huang N.E., Shen Z., Long S.R., Wu M.C., Shih H.H., Zheng Q., Yen N.C., Tung C.C., and Liu H.H. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc. R. Soc. London Ser. A 454 (1998) 903-995
10. Veltcheva A.D., and Soares C.G. Identification of the components of wave spectra by the Hilbert-Huang transform method. Appl. Ocean Res. 26 (2004) 1-12
11. Zhang R.R., King R., Olson L., and Xu Y.-L. Dynamic response of the trinity river relief bridge to controlled pile damage: modeling and experimental data analysis comparing Fourier and Hilbert-Huang techniques. J. Sound Vib. 285 (2005) 1049-1070
12. Huang N.E., Wu M.C., Long S.R., Shen S.S.P., Qu W., Gloersen P., and Fan K.L. A confidence limit for the empirical mode decomposition and Hilbert spectral analysis. Proc. R. Soc. London Ser. A 459 (2003) 2317-2345
13. Vakakis A.F., McFarland D.M., Bergman L.A., Manevitch L.I., and Gendelman O. Isolated resonance captures and resonance capture cascades leading to single- or multi-mode passive energy pumping in damped coupled oscillators. J. Vib. Acoust. 126 2 (2004) 235-244