Stability and wave dynamics of high-speed objects moving along elastic guides
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1.Nonlinear Periodic Waves in a Deformable Medium Modeled by Chains of Active Morse–van der Pol Particles
- 关键词:
- Numerical methods;Chains length;Deformable medias;Dissipative solitons;Nonlinear deformable medium, chain of active morse;Nonlinear periodic waves;Numerical modeling method;Periodic waves;Van der Pol;Van der pol particle, periodic wave, dissipative soliton;Wave period
- Zemlyanukhin, A.I.;Bochkarev, A.V.;Erofeev, V.I.;Pavlov, I.S.
- 《Acoustical Physics》
- 2025年
- 71卷
- 1期
- 期刊
The generation and propagation of nonlinear periodic waves in a deformable medium modeled by different chains of active Morse–van der Pol particles are studied by numerical modeling methods. The intervals of change in wave periods are determined within a broad range of chain lengths. It is shown that, in short chains, conservative Morse forces are much greater than spatially dependence active friction forces and, as a consequence, the wave process occurs according to a conservative scenario. In long chains, the transformation of a nonlinear periodic wave into a dissipative soliton with a minimum velocity corresponding to a maximum period value has been revealed. It has been established that the dependence of the minimum period on the number of particles in a chain is almost linear. Instability in the propagation of initial perturbations composed of several previously identified identical periodic solutions is demonstrated. © Pleiades Publishing, Ltd. 2025.
...2.Nonlinear wave dynamics of liquid-saturated porous media
- Interfacial Phenomena and Heat Transfer,Vol.10.No 3.
3.On the Velocities of Rayleigh Surface Waves Propagating Along the Houndaries of Generalized Continua
- 关键词:
- Dispersion (waves);Dispersions;Elastic constants;Elasticity;Fiber optic sensors;Geophysics;Rayleigh number;Shear flow;Shear waves;Surface measurement;Cosserat;Cosserat models;Deformable solids;Elastic half space;Frequency;Generalized continua;Gradient elastic medium;Gradient-elastic half-space;Rayleigh surface waves;Reduced cosserat model
- Erofeev, Vladimir I.;Antonov, Artem M.;Malkhanov, Alexey O.
- 《24th International Conference on Mathematical Modeling and Supercomputer Technologies, MMST 2024》
- 2025年
- November 18, 2024 - November 21, 2024
- Nizhni Novgorod, Russia
- 会议
It has been demonstrated that mathematical models of gradient-elastic medium and reduced Cosserat medium, in contrast to the model of classical deformable solid, allow to describe experimentally observed dispersion of Rayleigh surface wave, i.e. dependence of phase velocity of surface wave on frequency. At the same time, according to the model of gradient-elastic half-space, velocity of surface wave cannot exceed velocity of shear wave, but at certain values of frequency it can reach it. According to reduced Cosserat model, velocity of surface wave exceeds velocity of shear wave, as well as velocity of propagation of surface wave in classical half-space and gradient-elastic half-space. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
...4.Эволюция квазигармонических изгибных волн в балке, лежащей на обобщенном нелинейно-упругом основании, возможность их трансформации в последовательность волновых пакетов
- Вестник МГТУ им.Н.Э.Баумана.Серия «Естественные науки».
5.Plane longitudinal waves in a porous fluid-saturated medium with a nonlinear relationship between deformations and displacements of the liquid phase
- Computational Continuum Mechanics,Vol.14.No 1.pp.5-11
6.Dispersion, Attenuation andNonlinear Spatial Locality ofLongitudinal Waves Propagating inMaterials withPoint Defects
- Erofeev, Vladimir I.;Leonteva, Anna V.;Shekoyan, A.V.
- Springer
- 2025年
- 图书
7.Динамика деформируемых систем, несущих движущиеся нагрузки (обзор публикаций и диссертационных исследований)
- Вестник научно-технического развития,№ 160.С.25-47
8.Rayleigh waves in the Cosserat half-space (reduced model) and hal-space of damaged material
- Advanced Structured Materials.Issue: Sixty Shades of Generalized Continua Dedicated to 60th birthday of Prof.Victor Eremeyev/Altenbach H.Beresovski A.dell'Isola F.Porubov A.(Eds.).Springer Nature Switzerland AG,pp.115-132.Issue: Sixty Shades of Generalized Continua Dedicated to 60th birthday of Prof.Victor Eremeyev/Altenbach H.Beresovski A.dell'Isola F.Porubov A.(Eds.).Springer Nature Switzerland AG,pp.115-132.
9.Динамическое поведение балки, лежащей на обобщенном упругом основании, с движущейся нагрузкой
- Прикладная математика и механика,Т.85.№ 2.с.193-209
10.Linear and nonlinear problems of wave resistance to the movement of objects along elastic guides
- Advanced Structured Materials,Vol.141,pp.97-121.
