Anton A Bukatov | Marine Hydrophysical Institute RAS (original) (raw)

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Papers by Anton A Bukatov

Research paper thumbnail of Wave dynamics features in a sea ice area

Ukrainian Antarctic Journal, 2003

Research paper thumbnail of Interaction of Finite Amplitude Surface Waves in a Basin with a Floating Elastic Plate

Lecture Notes in Control and Information Sciences - Proceedings, 2022

Research paper thumbnail of Velocities of motion of liquid particles under the floating ice cover in the case of propagation of periodic waves of finite amplitude

Physical Oceanography, 2011

Research paper thumbnail of Influence of ice compression on components of the velocity of motion of liquid under the ice cover in a traveling periodic flexural gravity wave of finite amplitude

Physical Oceanography, 2011

Research paper thumbnail of Finite-amplitude waves in a homogeneous fluid with a floating elastic plate

Journal of Applied Mechanics and Technical Physics, 2009

Equations for three nonlinear approximations of a wave perturbation in a homogeneous ideal incomp... more Equations for three nonlinear approximations of a wave perturbation in a homogeneous ideal incompressible fluid covered by a thin elastic plate are obtained using the method of multiple scales and taking into account that the acceleration of vertical flexural displacements of the plate is nonlinear. Based on the obtained equations, asymptotic expansions up third-order terms are constructed for the fluid velocity potential and the perturbations of the plate-fluid interface (plate bending) caused by a traveling periodic wave of finite amplitude. The wave characteristics are analyzed as functions of the elastic modulus and thickness of the plate and the length and tilt of the initial fundamental harmonic wave.

Research paper thumbnail of Nonlinear oscillations of a floating elastic plate

International Applied Mechanics, 2011

Research paper thumbnail of Phase Structure of Fluid Fluctuations with a Floating Elastic Ice Plate under Nonlinear Interaction of Progressive Surface Waves

Physical Oceanography, 2019

Research paper thumbnail of Earth’s Insolation and Spatiotemporal Variability of Albedo in the Antarctic

Advances in Polar Ecology

Research paper thumbnail of Analysis of the phase structure of fluid vibrations with floating longitudinally compressed elastic plate in nonlinear interaction of the surface progressive waves

Based on the asymptotic expansions obtained by the multi-scale method up to the third order of sm... more Based on the asymptotic expansions obtained by the multi-scale method up to the third order of smallness for the potential velocity of liquid particles and the plate-fluid surface elevation, the dispersion properties of the vibrations generated by the interaction of progressive surface wave harmonics of finite amplitude are analyzed in the article. The effect of nonlinearity of acceleration of vertical displacements of an elastic plate on the dispersion characteristics of wave disturbances is studied. The dependence of the vibration frequency is estimated by taking into account the nonlinearity of the first and second approximations values, the plate thickness, and the longitudinal compressive force. It is shown that the sign of the amplitude of the second interacting harmonic and the nonlinearity of the acceleration of vertical displacements of the longitudinally compressed elastic plate affect the vibration phase. It was found that with a decrease in the wavelength of the initial ...

Research paper thumbnail of Пространственно-временная изменчивость сплоченности морского льда Антарктики

Research paper thumbnail of The El-Ninjo - Southern Oscillation phase response in geographical location of the Intertropical Convergence Zone

Research paper thumbnail of Проявление фазы Эль-Ниньо -- Южное колебание в географическом положении внутритропической зоны конвергенции

Research paper thumbnail of Пространственно-временная изменчивость распределения морского льда в Антарктике

Research paper thumbnail of Propagation of Surface Waves of Finite Amplitude In a Basin With Floating Broken Ice

International Journal of Offshore and Polar Engineering

Research paper thumbnail of Gravity Force Anomalies Caused by Tidal Deformations of the Earth's Surface

Research paper thumbnail of Generation of long waves in a basin of variable depth in the process of formation of a region of perturbations of atmospheric pressure

Research paper thumbnail of Nonlinear elastic plate fluctuations on a fluid surface

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015

Asymptotic expansions to within the third order of smallness for flexural displacements of the fl... more Asymptotic expansions to within the third order of smallness for flexural displacements of the floating plate and the fluid velocity potential under plate are obtained using the method of multiple scales. They are formed by a propagating periodic wave of finite--amplitude. In case of an ice plate the analysis of influence of the elastic modulus, the longitudinal compression value and nonlinearity of a plate vertical displacement acceleration on its flexural fluctuations characteristics and distribution of orbital velocity components of fluid particles movement along a flexural-gravitational wave profile under the plate is done.

Research paper thumbnail of КОЛЕБАНИЯ ПЛАВАЮЩЕЙ УПРУГОЙ ПЛАСТИНЫ ПРИ НЕЛИНЕЙНОМ ВЗАИМОДЕЙСТВИИ ИЗГИБНО-ГРАВИТАЦИОННЫХ ВОЛН

Прикладная механика и техническая физика, 2018

На основе метода многих масштабов построены асимптотические разложения до величин третьего порядк... more На основе метода многих масштабов построены асимптотические разложения до величин третьего порядка малости для потенциала скорости движения жидкости конечной глубины и изгибных деформаций плавающей упругой пластины, возникающих при взаимодействии гармоник прогрессивных поверхностных волн конечной амплитуды. Получено выражение для амплитуды второй гармоники и определены критические значения волнового числа. Выполнен анализ колебаний пластины при различных значениях ее толщины и модуля упругости. Исследованы вертикальные смещения пластины при ее изгибной деформации.

Research paper thumbnail of Phase Structure of Fluid Fluctuations with a Floating Elastic Ice Plate under Nonlinear Interaction of Progressive Surface Waves

PHYSICAL OCEANOGRAPHY, 2018

Asymptotic expansions up to the third-order terms are constructed based on the multiple scales me... more Asymptotic expansions up to the third-order terms are constructed based on the multiple scales method for the fluid velocity potential of the finite-depth homogeneous fluid and elevation of the plate-fluid surface (ice-water surface). The obtained expansions constitute a foundation for analyzing dispersive properties of the fluctuations formed under interaction of progressive harmonics of the finite-amplitude surface waves. Changes of the fluctuation frequency taking place due to the contribution of the values of the first and second approximations conditioned by the taken into account non-linearity are considered. The effect of non-linearity of the ice plate vertical displacement acceleration on the amplitude, frequency and phase velocity of the wave disturbances is studied. It is shown that at the wave numbers exceeding the maximum resonance value, the oscillation frequency increases in case non-linearity of the plate vertical displacement acceleration is taken into account. It also grows with the plate thickness, and change of a sign (plus into minus) of the second interacting harmonic amplitude reduces the frequency value if the wave number is fixed. The phase velocity increase with allowance for the acceleration nonlinearity is more significant than without considering it. Under a negative amplitude of the second interacting harmonic, if the acceleration nonlinearity is taken into account, the phase velocity is less than when it is not.

Research paper thumbnail of ПРОСТРАНСТВЕННО-ВРЕМЕННАЯ ИЗМЕНЧИВОСТЬ РАСПРЕДЕЛЕНИЯ МОРСКОГО ЛЬДА В АРКТИКЕ

Выполнено исследование внутригодовой изменчивости распределения сплоченности морского льда в Аркт... more Выполнено исследование внутригодовой изменчивости распределения сплоченности морского льда в Арктике за период 1969 – 2012 гг. Проведен анализ динамики географического положения кромки льда. Дана оценка среднемесячных значений скорости смещения кромки льда в широтном направлении на каждой долготе вдоль периметра кромки. Выполнен анализ отклонений среднемесячных значений широты положения кромки льда от своего линейного тренда.

Research paper thumbnail of Wave dynamics features in a sea ice area

Ukrainian Antarctic Journal, 2003

Research paper thumbnail of Interaction of Finite Amplitude Surface Waves in a Basin with a Floating Elastic Plate

Lecture Notes in Control and Information Sciences - Proceedings, 2022

Research paper thumbnail of Velocities of motion of liquid particles under the floating ice cover in the case of propagation of periodic waves of finite amplitude

Physical Oceanography, 2011

Research paper thumbnail of Influence of ice compression on components of the velocity of motion of liquid under the ice cover in a traveling periodic flexural gravity wave of finite amplitude

Physical Oceanography, 2011

Research paper thumbnail of Finite-amplitude waves in a homogeneous fluid with a floating elastic plate

Journal of Applied Mechanics and Technical Physics, 2009

Equations for three nonlinear approximations of a wave perturbation in a homogeneous ideal incomp... more Equations for three nonlinear approximations of a wave perturbation in a homogeneous ideal incompressible fluid covered by a thin elastic plate are obtained using the method of multiple scales and taking into account that the acceleration of vertical flexural displacements of the plate is nonlinear. Based on the obtained equations, asymptotic expansions up third-order terms are constructed for the fluid velocity potential and the perturbations of the plate-fluid interface (plate bending) caused by a traveling periodic wave of finite amplitude. The wave characteristics are analyzed as functions of the elastic modulus and thickness of the plate and the length and tilt of the initial fundamental harmonic wave.

Research paper thumbnail of Nonlinear oscillations of a floating elastic plate

International Applied Mechanics, 2011

Research paper thumbnail of Phase Structure of Fluid Fluctuations with a Floating Elastic Ice Plate under Nonlinear Interaction of Progressive Surface Waves

Physical Oceanography, 2019

Research paper thumbnail of Earth’s Insolation and Spatiotemporal Variability of Albedo in the Antarctic

Advances in Polar Ecology

Research paper thumbnail of Analysis of the phase structure of fluid vibrations with floating longitudinally compressed elastic plate in nonlinear interaction of the surface progressive waves

Based on the asymptotic expansions obtained by the multi-scale method up to the third order of sm... more Based on the asymptotic expansions obtained by the multi-scale method up to the third order of smallness for the potential velocity of liquid particles and the plate-fluid surface elevation, the dispersion properties of the vibrations generated by the interaction of progressive surface wave harmonics of finite amplitude are analyzed in the article. The effect of nonlinearity of acceleration of vertical displacements of an elastic plate on the dispersion characteristics of wave disturbances is studied. The dependence of the vibration frequency is estimated by taking into account the nonlinearity of the first and second approximations values, the plate thickness, and the longitudinal compressive force. It is shown that the sign of the amplitude of the second interacting harmonic and the nonlinearity of the acceleration of vertical displacements of the longitudinally compressed elastic plate affect the vibration phase. It was found that with a decrease in the wavelength of the initial ...

Research paper thumbnail of Пространственно-временная изменчивость сплоченности морского льда Антарктики

Research paper thumbnail of The El-Ninjo - Southern Oscillation phase response in geographical location of the Intertropical Convergence Zone

Research paper thumbnail of Проявление фазы Эль-Ниньо -- Южное колебание в географическом положении внутритропической зоны конвергенции

Research paper thumbnail of Пространственно-временная изменчивость распределения морского льда в Антарктике

Research paper thumbnail of Propagation of Surface Waves of Finite Amplitude In a Basin With Floating Broken Ice

International Journal of Offshore and Polar Engineering

Research paper thumbnail of Gravity Force Anomalies Caused by Tidal Deformations of the Earth's Surface

Research paper thumbnail of Generation of long waves in a basin of variable depth in the process of formation of a region of perturbations of atmospheric pressure

Research paper thumbnail of Nonlinear elastic plate fluctuations on a fluid surface

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015

Asymptotic expansions to within the third order of smallness for flexural displacements of the fl... more Asymptotic expansions to within the third order of smallness for flexural displacements of the floating plate and the fluid velocity potential under plate are obtained using the method of multiple scales. They are formed by a propagating periodic wave of finite--amplitude. In case of an ice plate the analysis of influence of the elastic modulus, the longitudinal compression value and nonlinearity of a plate vertical displacement acceleration on its flexural fluctuations characteristics and distribution of orbital velocity components of fluid particles movement along a flexural-gravitational wave profile under the plate is done.

Research paper thumbnail of КОЛЕБАНИЯ ПЛАВАЮЩЕЙ УПРУГОЙ ПЛАСТИНЫ ПРИ НЕЛИНЕЙНОМ ВЗАИМОДЕЙСТВИИ ИЗГИБНО-ГРАВИТАЦИОННЫХ ВОЛН

Прикладная механика и техническая физика, 2018

На основе метода многих масштабов построены асимптотические разложения до величин третьего порядк... more На основе метода многих масштабов построены асимптотические разложения до величин третьего порядка малости для потенциала скорости движения жидкости конечной глубины и изгибных деформаций плавающей упругой пластины, возникающих при взаимодействии гармоник прогрессивных поверхностных волн конечной амплитуды. Получено выражение для амплитуды второй гармоники и определены критические значения волнового числа. Выполнен анализ колебаний пластины при различных значениях ее толщины и модуля упругости. Исследованы вертикальные смещения пластины при ее изгибной деформации.

Research paper thumbnail of Phase Structure of Fluid Fluctuations with a Floating Elastic Ice Plate under Nonlinear Interaction of Progressive Surface Waves

PHYSICAL OCEANOGRAPHY, 2018

Asymptotic expansions up to the third-order terms are constructed based on the multiple scales me... more Asymptotic expansions up to the third-order terms are constructed based on the multiple scales method for the fluid velocity potential of the finite-depth homogeneous fluid and elevation of the plate-fluid surface (ice-water surface). The obtained expansions constitute a foundation for analyzing dispersive properties of the fluctuations formed under interaction of progressive harmonics of the finite-amplitude surface waves. Changes of the fluctuation frequency taking place due to the contribution of the values of the first and second approximations conditioned by the taken into account non-linearity are considered. The effect of non-linearity of the ice plate vertical displacement acceleration on the amplitude, frequency and phase velocity of the wave disturbances is studied. It is shown that at the wave numbers exceeding the maximum resonance value, the oscillation frequency increases in case non-linearity of the plate vertical displacement acceleration is taken into account. It also grows with the plate thickness, and change of a sign (plus into minus) of the second interacting harmonic amplitude reduces the frequency value if the wave number is fixed. The phase velocity increase with allowance for the acceleration nonlinearity is more significant than without considering it. Under a negative amplitude of the second interacting harmonic, if the acceleration nonlinearity is taken into account, the phase velocity is less than when it is not.

Research paper thumbnail of ПРОСТРАНСТВЕННО-ВРЕМЕННАЯ ИЗМЕНЧИВОСТЬ РАСПРЕДЕЛЕНИЯ МОРСКОГО ЛЬДА В АРКТИКЕ

Выполнено исследование внутригодовой изменчивости распределения сплоченности морского льда в Аркт... more Выполнено исследование внутригодовой изменчивости распределения сплоченности морского льда в Арктике за период 1969 – 2012 гг. Проведен анализ динамики географического положения кромки льда. Дана оценка среднемесячных значений скорости смещения кромки льда в широтном направлении на каждой долготе вдоль периметра кромки. Выполнен анализ отклонений среднемесячных значений широты положения кромки льда от своего линейного тренда.