Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

Journal of Sound and Vibration

Volumn 324, Issue 3-5, 2009, Pages 916-939

  Starosvetsky, Y ^a   Gendelman, O V ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL PREDICTIONS; ANALYTICAL TECHNIQUES; EFFICIENT SYSTEMS; HARMONIC EXCITATION; LINEAR OSCILLATOR; NONLINEAR DAMPING; NONLINEAR DAMPING FUNCTION; NONLINEAR ENERGY SINK; NUMERICAL RESULTS; PIECE-WISE; QUADRATIC DAMPING; TUNED MASS DAMPERS; VIBRATION ABSORPTION;

ABSORPTION; OSCILLATORS (ELECTRONIC);

DAMPING;

EID: 67349285938     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.02.052     Document Type: Article

References (34)

1. H. Frahm, Device for damping vibrations of bodies, U.S. Patent No. 989,958, 1911.
2. Den Hartog J.P. Mechanical Vibrations. fourth ed. (1956), McGraw-Hill Book Company, New York
3. Ormondroyd J., and Den Hartog J.P. The theory of the dynamic vibration absorber. Transactions of the American Society of Mechanical Engineers 50 (1928) A9-A22
4. Hadi M.N.S., and Arfiadi Y. Optimum design of absorber for Mdof structures. Journal of Structural Engineering 124 (1998) 1272-1280
5. Singh M.P., and Moreschi L.M. Optimal placement of dampers for passive response control. Earthquake Engineering & Structural Dynamics 31 (2002) 955-976
6. Ozer M.B., and Royston T.J. Extending Den Hartog's vibration absorber technique to multi-degree-of-freedom systems. Journal of Vibration and Acoustics 127 4 (2004) 341-350
7. Roberson R.E. Synthesis of a nonlinear dynamic vibration absorber. Journal of the Franklin Institute 254 (1952) 205-220
8. Shaw J., Shaw S.W., and Haddow A.G. On the response of the nonlinear vibration absorber. International Journal of Non-Linear Mechanics 24 (1989) 281-293
9. Rice H.J., and McCraith J.R. Practical non-linear vibration absorber design. Journal of Sound and Vibration 116 3 (1987) 545-559
10. Jordanov I.N., and Cheshankov I.B. Optimal design of linear and nonlinear dynamic vibration absorbers. Journal of Sound and Vibration 123 (1988) 157-170
11. Natsiavas S. Steady state oscillations and stability of non-linear dynamic vibration absorbers. Journal of Sound and Vibration 156 2 (1992) 227-245
12. Gendelman O.V. Transition of energy to nonlinear localized mode in highly asymmetric system of nonlinear oscillators. Nonlinear Dynamics 25 (2001) 237-253
13. Gendelman O.V., Vakakis A.F., Manevitch L.I., and McCloskey R. Energy pumping in nonlinear mechanical oscillators I: dynamics of the underlying Hamiltonian system. Journal of Applied Mechanics 68 1 (2001) 34-41
14. Vakakis A.F., and Gendelman O.V. Energy pumping in nonlinear mechanical oscillators II: resonance capture. Journal of Applied Mechanics 68 1 (2001) 42-48
15. Vakakis A.F. Inducing passive nonlinear energy sinks in linear vibrating systems. Journal of Vibration and Acoustics 123 3 (2001) 324-332
16. Vakakis A.F., Manevitch L.I., Gendelman O., and Bergman L. Dynamics of linear discrete systems connected to local essentially nonlinear attachments. Journal of Sound and Vibration 264 (2003) 559-577
17. Gourdon E., Lamarque C.H., and Pernot S. Contribution to efficiency of irreversible passive energy pumping with a strong nonlinear attachment. Nonlinear Dynamics 50 (2007) 793-808
18. Gourdon E., Alexander N.A., Taylor C.A., Lamarque C.H., and Pernot S. Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results. Journal of Sound and Vibration 300 (2007) 522-551
19. Lee Y.S., Vakakis A.F., Bergman L.A., and McFarland D.M. Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive non-linear energy sinks. Journal of Structural Control and Health Monitoring 13 (2006) 41-75
20. Lee Y.S., Vakakis A.F., Bergman L.A., McFarland D.M., and Kerschen G. Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1: theory. AIAA Journal 45 3 (2007)
21. Lee Y.S., Kerschen G., McFarland D.M., Joel Hill W., Nichkawde C., Strganac T.W., Bergman L.A., and Vakakis A.F. Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 2: experiments. AIAA Journal 45 3 (2007)
22. Gendelman O.V., Gourdon E., and Lamarque C.H. Quasiperiodic energy pumping in coupled oscillators under periodic forcing. Journal of Sound and Vibration 294 (2006) 651-662
23. Gendelman O.V., and Starosvetsky Y. Quasiperiodic response regimes of linear oscillator coupled to nonlinear energy sink under periodic forcing. Journal of Applied Mechanics 74 (2007) 325-331
24. Gendeman O.V., Starosvetsky Y., and Feldman M. Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: description of response regimes. Nonlinear Dynamics 51 (2008) 31-46
25. Starosvetsky Y., and Gendelman O.V. Attractors of harmonically forced linear oscillator with attached nonlinear energy sink II: optimization of a nonlinear vibration absorber. Nonlinear Dynamics 51 (2008) 47-57
26. Starosvetsky Y., and Gendelman O.V. Strongly modulated response in forced 2dof oscillatory system with essential mass and potential asymmetry. Physica D 237 (2008) 1719-1733
27. Starosvetsky Y., and Gendelman O.V. Response regimes of linear oscillator coupled to nonlinear energy sink with harmonic forcing and frequency detuning. Journal of Sound and Vibration 315 (2008) 746-765
28. Starosvetsky Y., and Gendelman O.V. Dynamics of essentially nonlinear vibration absorber coupled to harmonically excited 2 dof system. Journal of Sound and Vibration 312 (2008) 234-256
29. Arnold V.I., Afrajmovich V.S., Il'yashenko Yu.S., and Shil'nikov L.P. Dynamical Systems V. Encyclopedia of Mathematical Sciences (1994), Springer, Berlin
30. Guckenheimer J., Wechselberger M., and Young L.-S. Chaotic attractors of relaxation oscillators. Nonlinearity 19 (2006) 701-720
31. Guckenheimer J., Hoffman K., and Weckesser W. Bifurcations of relaxation oscillations near folded saddles. International Journal of Bifurcations and Chaos 15 11 (2005) 3411-3421
32. 3. Journal of Differential Equations 200 (2004) 69-104
33. Rittweger A., Albus J., Hornung E., Ory H., and Mourey P. Passive damping devices for aerospace structures. Acta Astronautica 50 10 (2002) 597-608
34. Golafshani A.A., and Mirdamadi H.R. Adaptive control of structures by LMS algorithm: a comparative study. Structures and Buildings 152 (2001) 175-191