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O. V. Gendelman
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Journal Articles

Energy Exchange and Localization in Essentially Nonlinear Oscillatory Systems: Canonical Formalism

O. V. Gendelman, T. P. Sapsis
Journal: Journal of Applied Mechanics
Article Type: Research-Article
J. Appl. Mech. January 2017, 84(1): 011009.
Paper No: JAM-16-1247
DOI: https://doi.org/10.1115/1.4034930
Published Online: October 26, 2016
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Topics: Degrees of freedom, Dynamics (Mechanics), Manifolds, Resonance, Trajectories (Physics), Vibration, Flow (Dynamics)
Journal Articles

Dynamics of an Eccentric Rotational Nonlinear Energy Sink

O. V. Gendelman, G. Sigalov, L. I. Manevitch, M. Mane, A. F. Vakakis, L. A. Bergman
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. January 2012, 79(1): 011012.
DOI: https://doi.org/10.1115/1.4005402
Published Online: December 13, 2011
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Topics: Dynamics (Mechanics), Energy dissipation, Energy transformation, Excitation, Oscillations, Time series, Resonance, Damping, Deflection, Nonlinear dynamical systems
Proceedings Papers

Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing: Account of Detuning

Y. Starosvetsky, O. V. Gendelman
Proc. ASME. IDETC-CIE2007, Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1591-1600, September 4–7, 2007
Paper No: DETC2007-34222
DOI: https://doi.org/10.1115/DETC2007-34222
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Topics: Harmonic oscillators, Bifurcation, Damping, Dynamic systems, Excitation, Resonance
Proceedings Papers

Method of Complex Amplitudes: Harmonically Excited Oscillator With Strong Cubic Nonlinearity

O. V. Gendelman, L. I. Manevitch
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 2355-2359, September 2–6, 2003
Paper No: DETC2003/VIB-48586
DOI: https://doi.org/10.1115/DETC2003/VIB-48586
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Topics: Approximation, Computer simulation, Damping, Dynamics (Mechanics), Resonance
Proceedings Papers

Degenerate Bifurcation Scenarios in the Dynamics of Coupled Oscillators With Symmetric Nonlinearities

O. V. Gendelman
Proc. ASME. IDETC-CIE2005, Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1595-1601, September 24–28, 2005
Paper No: DETC2005-84373
DOI: https://doi.org/10.1115/DETC2005-84373
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Topics: Bifurcation, Dynamics (Mechanics), Springs, Computer simulation, Harmonic oscillators, Polynomials, Resonance
Journal Articles

Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing

O. V. Gendelman, Yu. Starosvetsky
Journal: Journal of Applied Mechanics
Article Type: Technical Papers
J. Appl. Mech. March 2007, 74(2): 325–331.
DOI: https://doi.org/10.1115/1.2198546
Published Online: February 9, 2006
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Topics: Damping, Harmonic oscillators, Manifolds, Oscillations, Stability, Steady state, Simulation, Resonance, Shapes