Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity

Communications in Nonlinear Science and Numerical Simulation

Volumn 13, Issue 5, 2008, Pages 959-978

  Kerschen, Gaetan ^a   Gendelman, Oleg ^b   Vakakis, Alexander F ^c   Bergman, Lawrence A ^d   McFarland, D Michael ^d  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^d United States of America   (United States)

Author keywords

Coupled oscillators; Impulsive responses; Targeted energy transfer

Indexed keywords

DAMPING; DYNAMICS; ENERGY TRANSFER; STIFFNESS;

COUPLED OSCILLATOR; IMPULSIVE RESPONSE;

OSCILLATORS (MECHANICAL);

DAMPING; DYNAMICS; ENERGY TRANSFER; OSCILLATORS (MECHANICAL); STIFFNESS;

EID: 36248966520     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.08.001     Document Type: Article

References (5)

1. Gendelman O.V. Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment. Nonlinear Dynam 37 2 (2004) 115-128
2. Gendelman O.V., Gorlov D.V., Manevitch L.I., and Musienko A.I. Dynamics of coupled linear and essentially nonlinear oscillator with substantially different masses. J Sound Vib 286 1-2 (2005) 1-19
3. Gradshteyn I.S., and Ryzhik I.M. Table of integrals, series and products (1980), Academic Press, New York
4. Kerschen G., Lee Y.S., Vakakis A.F., McFarland D.M., and Bergman L.A. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM J Appl Math 66 2 (2006) 648-679
5. 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 nonlinear attachment. Physica D 204 1-2 (2005) 41-69