name
Syromyatnikov Pavel Viktorovich
Scholastic degree
•
Academic rank
—
Honorary rank
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Organization, job position
• Southern Scientific Center
Краснодарское отделение
зав. лаб. прикладной математики и механики
Research interests
динамические краевые задачи анизотропной теории упругости, диффузионные процессы в неоднородных средах
Web site url
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TOP5 co-authors
—Articles count: 1
Сформировать список работ, опубликованных в Научном журнале КубГАУ
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01.00.00 Physical-mathematical sciences
Description
The article is dedicated to a numerical investigation of a plane problem of the oscillation amplitude of a buried source, depending on the frequency and motion speed in various isotropic media. Three types of the medium are considered: a two-layer package with a rigidly fixed base, a two-layer package with a mechanically free base, a half-space. The source, in the form of a stress jump simulating a rigid inclusion of small dimensions, moves in the interface plane at a constant speed. Homogeneous boundary value problems are considered in a moving coordinate system associated with a source. The solution method is based on the usage of integral Fourier transforms, the method of direct contour integration and algorithms for constructing symbols of Green's matrices. The method of direct contour integration significantly simplifies calculations in comparison with the traditional approaches to the calculation of Fourier integrals. We have presented calculations of nine amplitude-frequency and amplitude-velocity characteristics for different combinations of medium and source types, that give an exhaustive qualitative and quantitative description of the solutions for boundary value problems in a wide range of velocities and frequencies. Comparative analysis of calculations showed a primary influence of the type of an elastic medium on the investigated characteristics, as well as the large influence of the source type. Which, in turn, revealed some substantial connections between the boundary value problems with a moving source and the corresponding problems with a stationary source
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