Passive vibration control through nonlinear energy pumping

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 C, Issue , 2003, Pages 1883-1888

  Vakakis, Alexander F ^a   McFarland, D Michael ^b   Bergman, Lawrence ^b   Manevitch, Leonid ^c   Gendelman, Oleg ^c  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; ENERGY DISSIPATION; EQUATIONS OF MOTION; FREQUENCIES; OSCILLATORS (MECHANICAL); RESONANCE;

NONLINEAR ENERGY SINK (NES); SHOCK ISOLATION;

VIBRATION CONTROL;

EID: 1842683956     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48532     Document Type: Conference Paper

References (10)

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2. Gendelman O., 2001, 'Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators,' Nonlinear Dynamics 25, pp. 237-253.
3. Shaw S., and Pierre C., 1991,. 'Nonlinear Normal Modes and Invariant Manifolds,' Journal of Sound and Vibration 150(1), pp. 170-173.
4. Shaw S., and Pierre C., 1993, 'Normal Modes for Nonlinear Vibratory Systems,' Journal of Sound and Vibration 164(1), pp. 85-124.
5. Vakakis A.F., 2001, 'Inducing passive nonlinear energy sinks in linear vibrating systems, Journal of Vibration and Acoustics 123(3), pp. 324-332.
6. Vakakis A.F., Gendelman O., 2001, 'Energy pumping in nonlinear mechanical oscillators II: Resonance capture' Journal of Applied Mechanics 68(1), pp. 42-48.
7. Vakakis, A.F., 2002, 'Designing a Linear Structure with a Local Nonlinear Attachment For Enhanced Energy Pumping,' Meccanica (submitted).
8. Vakakis A.F., Manevitch L.I., Gendelman O., Bergman L., 2002, 'Dynamics of linear discrete systems connected to local essentially nonlinear attachments,' Journal of Sound and Vibration (in press).
9. Vakakis A.F., Manevitch L.I., Mikhlin Yu.V., Pilipchuk V.N., Zevin A.A., 1996, Normal Modes and Localization in Nonlinear Systems, Wiley Interscience, New York.
10. Wiggins, S., 1989, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer Verlag, Berlin and New York.