Search Results - "Manevitch, Leonid I."
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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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Nonlinear normal modes, resonances and energy exchange in single-walled carbon nanotubes
Published in International journal of non-linear mechanics (01-04-2020)“…The nonlinear resonance interaction and energy exchange between bending and circumferential flexure modes in single-walled carbon nanotubes is studied. First,…”
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3
Low-frequency linear vibrations of single-walled carbon nanotubes: Analytical and numerical models
Published in Journal of sound and vibration (23-06-2014)“…Low-frequency vibrations of single-walled carbon nanotubes with various boundary conditions are considered in the framework of the Sanders–Koiter thin shell…”
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4
Limiting phase trajectories and emergence of autoresonance in nonlinear oscillators
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-08-2013)“…Existence of stable autoresonance (AR) with continuously growing energy is directly connected with the inherent property of nonlinear systems to remain in…”
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5
Stationary and non-stationary dynamics of discrete square membrane
Published in Communications in nonlinear science & numerical simulation (01-05-2020)“…•A square discrete membrane low-amplitude dynamics may be described by acoustic vacuum equation without linear terms.•There are four nonlinear normal modes,…”
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Autoresonant dynamics of weakly coupled oscillators
Published in Nonlinear dynamics (01-04-2016)“…This paper studies the emergence of autoresonance (AR) in a two-degrees-of-freedom system consisting of an excited nonlinear actuator (the Duffing oscillator)…”
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7
Extreme nonlinear energy exchanges in a geometrically nonlinear lattice oscillating in the plane
Published in Journal of the mechanics and physics of solids (01-01-2018)“…We study the in-plane damped oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Strong nonlinearity…”
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Resonance energy transport and exchange in oscillator arrays
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-08-2013)“…It is well known that complete energy transfer between two weakly coupled linear oscillators occurs only at resonance. If the oscillators are nonlinear, the…”
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NONLINEAR OSCILLATORY ACOUSTIC VACUUM
Published in SIAM journal on applied mathematics (01-01-2014)“…A finite chain of particles with next-neighbor interactions, undergoing in-plane nonlinear oscillations with fixed-fixed boundary conditions is considered. In…”
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10
Heat conductivity of DNA double helix
Published in Physical review. B, Condensed matter and materials physics (15-06-2011)“…Thermal conductivity of isolated single molecule DNA fragments is of importance for nanotechnology, but has not yet been measured experimentally. Theoretical…”
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Limiting phase trajectories and energy exchange between anharmonic oscillator and external force
Published in Nonlinear dynamics (01-12-2009)“…We present a simple analytical description of transient vibrations of forced anharmonic oscillator in terms of periodic non-smooth functions. Such a…”
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Analysis of the transient behavior in a two dof nonlinear system
Published in Chaos, solitons and fractals (01-06-2011)“…► We analyze the behavior of a two dof nonlinear system under impulse loadings. ► The possibility of existence of chaos is revealed by Melnikov’s integral. ►…”
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13
Energy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscillatory chain
Published in The European physical journal. B, Condensed matter physics (2013)“…A finite (periodic) FPU chain is chosen as a convenient model for investigating the energy exchange phenomenon in nonlinear oscillatory systems. As we have…”
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Molecular Dynamics Simulation of Thermomechanical Properties of Montmorillonite Crystal. II. Hydrated Montmorillonite Crystal
Published in Journal of physical chemistry. C (06-11-2008)“…We present the results of molecular dynamics simulation of the thermomechanical behavior of Wyoming-type Na+-montmorillonite (MMT) with water intercalates…”
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Molecular Dynamics Simulation of Thermomechanical Properties of Montmorillonite Crystal. 1. Isolated Clay Nanoplate
Published in The journal of physical chemistry. B (13-03-2008)“…The structure and mechanical properties of clay nanoparticles is a subject of growing interest because of their numerous applications in engineering. We…”
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Molecular Dynamics Simulation of Thermomechanical Properties of Montmorillonite Crystal. 3. Montmorillonite Crystals with PEO Oligomer Intercalates
Published in The journal of physical chemistry. B (27-03-2008)“…We present the results of molecular dynamics (MD) simulation of the structure and thermomechanical behavior of Wyoming-type Na+−montmorillonite (MMT) with…”
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Towards a new type of energy trap: Classical analog of quantum Landau-Zener tunneling
Published in International journal of non-linear mechanics (01-01-2011)“…We present a novel type of an energy trap providing targeted energy transfer in a system of weakly coupled pendulums. Our approach is based on the analogy we…”
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18
Energy transfer in weakly coupled nonlinear oscillator chains: Transition from a wandering breather to nonlinear self-trapping
Published in Journal of sound and vibration (08-05-2009)“…We present analytical and numerical studies of phase-coherent dynamics of intrinsically localized excitations (breathers) in a system of two weakly coupled…”
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Journal Article Conference Proceeding -
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New analytical approach to energy pumping problem in strongly nonhomogeneous 2dof systems
Published in Meccanica (Milan) (01-02-2007)“…We present new analytical approach to the problem of energy pumping in strongly non- homogeneous nonlinear two-degree-of-freedom (2DOF) systems with single…”
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Classical analog of quasilinear Landau-Zener tunneling
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-01-2012)“…In this paper we develop an analytical framework to study the effect of nonlinearity on irreversible energy transfer in a system of two weakly coupled…”
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