Study on Nonlinear Energy Pumping of the Vibration System with Cubic Damping Absorber

Article Preview

Abstract:

The nonlinear energy pumping in a two-degree-of-freedom system comprising a damped linear oscillator coupled to cubic damping absorber is studied. It is verified that the nonlinear pumping energy can be performed by cubic damping absorber besides cubic stiffness absorber. The resonance capture is verified by time-frequency analysis (Hilbert Transform). The energy pumping efficiency is put forward for quantitative analysis, and the optimal parameters of system are obtained. The amplitude of main oscillator can be attenuated in a very short duration. The result may be significative for engineering implementation.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1243-1247

Citation:

Online since:

October 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] O. Gendelman, L.I. Manevitch, A.F. Vakakis, R.M. Closkey: Energy pumping in nonlinear mechanical oscillators: part I-dynamics of the underlying hamiltonian systems (Journal of Applied Mechanics, VOL. 68, 2001).

DOI: 10.1115/1.1345524

Google Scholar

[2] A.F. Vakakis, O. Gendelman: Energy pumping in nonlinear mechanical oscillators: part II- resonance capture (Journal of Applied Mechanics, VOL. 68, 2001).

DOI: 10.1115/1.1345525

Google Scholar

[3] O.V. Gendelman, Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators (Nonlinear Dynamics, VOL. 25, 2001).

DOI: 10.1007/978-94-017-2452-4_13

Google Scholar

[4] O. Gendelman, L.I. Manevitch, A.F. Vakakis, L. Bergman: A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities (Nonlinear Dynamics VOL. 33, 2003).

DOI: 10.1023/a:1025515112708

Google Scholar

[5] A.F. Vakakis, L.I. Manevitch, O. Gendelman, L. Bergman: Dynamics of linear discrete systems connected to local, essentially non-linear attachments (Journal of Sound and Vibration, VOL. 264, 2003).

DOI: 10.1016/s0022-460x(02)01207-5

Google Scholar

[6] E. Gourdon, C.H. Lamarque: Energy pumping for a larger span of energy (Journal of Sound and Vibration, VOL. 285, 2005).

DOI: 10.1016/j.jsv.2004.10.003

Google Scholar

[7] E. Gourdon , C.H. Lamarque, S. Pernot: Contribution to efficiency of irreversible passive energy pumping with a strong nonlinear attachment (Nonlinear Dyn, VOL. 50, 2007).

DOI: 10.1007/s11071-007-9229-y

Google Scholar

[8] L.I. Manevitch, O. Gendelman: A.I. Moussienko, A.F. Vakakis, L. Bergman: Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment (Physica D, VOL. 178, 2003).

DOI: 10.1016/s0167-2789(02)00806-0

Google Scholar

[9] E. Gourdon, C.H. Lamarque: Energy pumping with various nonlinear structures: numerical evidences (Nonlinear Dyn, VOL. 40, 2005).

DOI: 10.1007/s11071-005-6610-6

Google Scholar

[10] A. Tondl, R. Nabergoj: Dynamic absorbers for an externally excited pendulum (Journal of Sound and Vibration, VOL. 234, 2000).

DOI: 10.1006/jsvi.1999.2892

Google Scholar