Search Results - "STAROSVETSKY, YULI"
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STRONGLY NONLINEAR BEAT PHENOMENA AND ENERGY EXCHANGES IN WEAKLY COUPLED GRANULAR CHAINS ON ELASTIC FOUNDATIONS
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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Analysis of transition regions in the parametrically forced system of bi-linear oscillators: Resonant excitation in the neighborhood of similar modes
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
Emergence of relaxation beat-waves in genuinely nonlinear Klein-Gordon chain with bi-harmonic parametric excitation
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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Analysis of the response of damped and parametrically driven, strongly anharmonic Klein-Gordon chain - Part 2: Beat-waves
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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Analytical study of the transition curves in the bi-linear Mathieu equation
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
Solitary waves in FPU lattices with alternating bond potentials
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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Dynamics of excited piecewise linear oscillators
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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Regimes of two-dimensional energy channeling in the inertially coupled unit-cell model subjected to an asymmetric potential
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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Analysis of transition regions of bi-linear, parametrically driven, two-oscillator model: Resonant excitation in the neighborhood of non-similar NNMs
Published in International journal of non-linear mechanics (01-10-2022)“…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
Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping
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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Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping
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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Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber
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
Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator I: bidirectional energy channeling
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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Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator II: unidirectional energy channeling
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
Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains
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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Nonlinear mixed solitary—Shear waves and pulse equi-partition in a granular network
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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Nonlinear normal modes and band zones in granular chains with no pre-compression
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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Strongly nonlinear traveling waves in granular dimer chains
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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Evolution of the primary pulse in one-dimensional granular crystals subject to on-site perturbations: analytical study
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-05-2012)“…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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Primary wave transmission in systems of elastic rods with granular interfaces
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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