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0215U003954,
0112U005342
,
Mathematical models in applied problems of mechanics and electrodynamics
Chumachenko Vitaly Pavlovich,
16-07-2015
Zaporizhzhia National Technical University
Objects of research -a) Modeling of physical fields and devices; b) Numerical-analytical methods for solving problems of elasticity and plasticity; b) Integral equations in the solution of contact problems of elasticity theory based on the principle of conformity. The aim of this first step is to justify the application of the method of areas to address some of the problems of wave scattering in flat areas of polygonal shape with attached waveguides for cases of homogeneous Dirichlet conditions and Neumann on the boundary surfaces. In the second phase the aim is to identify critical from the standpoint of strength areas of the deformed elastic bodies to improve their reliability. In the third stage, the aim is the simulation of the grinding process of soil and its dependence on the geometry of the working body. As well as the creation of a mathematical model that allows to determine the temperature-time parameters inoculators, which are used in the electroslag remelting process. Research methods - projection methods for solving boundary value problems for the Helmholtz equation; scheduling functions in one-dimensional and two-dimensional trigonometric Fourier series and in series of orthogonal Panama Legendre method; characteristic equation for the solution of linear differential equations; conjugate gradient method; least squares method; method of discretization of boundary conditions; solution of contact problems of linear viscoelastic bodies with the help of the correspondence principle.
Засовенко А.В.
Килимник І.М.
Нагорний Ю.І.
Онуфрієнко Л.М.
Чумаченко В.П.
Шаніна З.М.
Штефан Т.О.
2020-04-02
Updated: 2025-12-07
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