Search Results - "STAROSVETSKY, YULI"

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  1. 1

    STRONGLY NONLINEAR BEAT PHENOMENA AND ENERGY EXCHANGES IN WEAKLY COUPLED GRANULAR CHAINS ON ELASTIC FOUNDATIONS by STAROSVETSKY, YULI, HASAN, M. ARIF, VAKAKIS, ALEXANDER F., MANEVITCH, LEONID I.

    Published in SIAM journal on applied mathematics (01-01-2012)
    “…We study the dynamics of weakly interacting, strongly nonlinear one-dimensional granular chains mounted on elastic foundations. These chains are composed of a…”
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    Journal Article
  2. 2

    Analysis of transition regions in the parametrically forced system of bi-linear oscillators: Resonant excitation in the neighborhood of similar modes by Kumar, Anish, Starosvetsky, Yuli

    Published in Journal of sound and vibration (22-12-2021)
    “…Present paper is devoted to the analysis of resonant response of symmetric, two-oscillator bi-linear models subject to a low-amplitude parametric forcing. The…”
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  3. 3

    Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation by Gzal, Majdi, Kislovsky, Victor, Starosvetsky, Yuli

    Published in Chaos, solitons and fractals (01-12-2024)
    “…This paper provides analytical investigation of nonstationary regimes in a strongly anharmonic Klein-Gordon chain subjected to the two-component parametric…”
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  4. 4

    Analysis of the response of damped and parametrically driven, strongly anharmonic Klein-Gordon chain - Part 2: Beat-waves by Gzal, Majdi, Kislovsky, Victor, Starosvetsky, Yuli

    Published in Chaos, solitons and fractals (01-08-2023)
    “…This paper continues a series of publications devoted to the analysis of strongly nonlinear wave phenomena, emerging in genuinely anharmonic, Klein-Gordon…”
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  5. 5

    Analytical study of the transition curves in the bi-linear Mathieu equation by Jayaprakash, K. R., Starosvetsky, Yuli

    Published in Nonlinear dynamics (01-09-2020)
    “…The current work is primarily devoted to the asymptotic analysis of the instability zones existing in the bi-linear Mathieu equation. In this study, we invoke…”
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  6. 6

    Solitary waves in FPU lattices with alternating bond potentials by Starosvetsky, Yuli, Vainchtein, Anna

    Published in Mechanics research communications (01-10-2018)
    “…•A nonlinear lattice with alternating stiffer and softer elastic bonds is considered.•The system has solitary wave solutions for certain values of the modulus…”
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  7. 7

    Dynamics of excited piecewise linear oscillators by Jayaprakash, K. R., Tandel, Vaibhav, Starosvetsky, Yuli

    Published in Nonlinear dynamics (01-03-2023)
    “…The current work is devoted to the analytical study of the dynamics of piecewise linear (PWL) oscillators subjected to various types of excitations…”
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  8. 8

    Regimes of two-dimensional energy channeling in the inertially coupled unit-cell model subjected to an asymmetric potential by Vorotnikov, Kirill, Starosvetsky, Yuli, Vainchtein, Anna

    Published in Journal of sound and vibration (18-08-2019)
    “…We analyze the stationary and non-stationary states emerging in a two-dimensional (2D) model consisting of an outer element that incorporates an internal…”
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  9. 9

    Analysis of transition regions of bi-linear, parametrically driven, two-oscillator model: Resonant excitation in the neighborhood of non-similar NNMs by Kumar, Anish, Starosvetsky, Yuli, Jayaprakash, K.R.

    “…Present study is concerned with the analysis of special family of parametric instability tongues emerging in the dissipative bi-linear model of two oscillators…”
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  10. 10

    Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping by Starosvetsky, Y., Gendelman, O.V.

    Published in Journal of sound and vibration (01-07-2009)
    “…In this work, response regimes are investigated in a system comprising of a linear oscillator (subject to harmonic excitation) and a nonlinear energy sink…”
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  11. 11

    Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping by Andersen, David, Starosvetsky, Yuli, Vakakis, Alexander, Bergman, Lawrence

    Published in Nonlinear dynamics (2012)
    “…The dynamics of a system of coupled oscillators possessing strongly nonlinear stiffness and damping is examined. The system consists of a linear oscillator…”
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  12. 12

    Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber by Starosvetsky, Y., Gendelman, O. V.

    Published in Nonlinear dynamics (01-01-2008)
    “…This paper is the second one in the series of two papers devoted to detailed investigation of the response regimes of a linear oscillator with attached…”
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  13. 13

    Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator I: bidirectional energy channeling by Jayaprakash, K. R., Starosvetsky, Yuli

    Published in Nonlinear dynamics (01-08-2017)
    “…This work is the first one in a two part series devoted to the analysis of the complex nonlinear mechanism of three-dimensional energy channeling emerging in a…”
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  14. 14

    Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator II: unidirectional energy channeling by Jayaprakash, K. R., Starosvetsky, Yuli

    Published in Nonlinear dynamics (01-09-2017)
    “…This work is the second one in a two-part series devoted to the analysis of complex nonlinear mechanism of energy channeling emerging in a locally resonant…”
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  15. 15

    Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains by Jayaprakash, K. R., Starosvetsky, Yuli, Vakakis, Alexander F., Gendelman, Oleg V.

    Published in Journal of nonlinear science (01-06-2013)
    “…We study nonlinear resonances in granular periodic one-dimensional chains. Specifically, we consider a diatomic (“dimer”) chain composed of alternating “heavy”…”
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  16. 16

    Nonlinear mixed solitary—Shear waves and pulse equi-partition in a granular network by Zhang, Yijing, Hasan, M. Arif, Starosvetsky, Yuli, McFarland, D. Michael, Vakakis, Alexander F.

    Published in Physica. D (15-01-2015)
    “…We study primary pulse transmission in a two-dimensional granular network composed of two ordered chains that are nonlinearly coupled through Hertzian…”
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  17. 17

    Nonlinear normal modes and band zones in granular chains with no pre-compression by Jayaprakash, K. R., Starosvetsky, Yuli, Vakakis, Alexander F., Peeters, Maxime, Kerschen, Gaetan

    Published in Nonlinear dynamics (01-02-2011)
    “…We study standing waves (nonlinear normal modes—NNMs) and band zones in finite granular chains composed of spherical granular beads in Hertzian contact, with…”
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  18. 18

    Strongly nonlinear traveling waves in granular dimer chains by Jayaprakash, K.R., Vakakis, Alexander F., Starosvetsky, Yuli

    Published in Mechanical systems and signal processing (01-08-2013)
    “…This study is concerned with the dynamics of spatially periodic travelling waves supported by strongly nonlinear granular dimer chains with no pre-compression…”
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  19. 19

    Evolution of the primary pulse in one-dimensional granular crystals subject to on-site perturbations: analytical study by Starosvetsky, Yuli

    “…The propagation of the primary pulse through an uncompressed granular chain subject to external on-site perturbation is studied. An analytical procedure…”
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  20. 20

    Primary wave transmission in systems of elastic rods with granular interfaces by Starosvetsky, Yuli, Vakakis, Alexander F.

    Published in Wave motion (01-11-2011)
    “…We study analytically and numerically primary pulse transmission in one dimensional systems of identical linearly elastic non-dispersive rods separated by…”
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