перетворення Лапласа

Model of two-mass oscillatory system with parallel elastic and damping elements

Aim. Development of a method of analytical research of a two-mass oscillating system with parallel elastic and damping elements, which makes it possible to expand the design of such systems in various tasks of the functioning of machines and equipment. Method. We will conduct a parametric study of the dynamic oscillation system to assess the effect of the elasticity coefficient and damping on the change in the natural frequency, using the Laplace transform method.

Research and mathematical modeling of fractional-differential rheological models

Deformation processes in media with fractal structure have been studied. At present, research on the construction of mathematical methods and models of interconnected deformation-relaxation and heatmass transfer processes in environments with a fractal structure is at an early stage. There are a number of unsolved problems, in particular, the problem of correct and physically meaningful setting of initial and boundary conditions for nonlocal mathematical models of nonequilibrium processes in environments with fractal structure remains unsolved.