Wave concept of motion in mathematical models of the dynamics of two-dimensional media studying

Надіслано: Листопад 12, 2019
Переглянуто: Грудень 21, 2019
Прийнято: Грудень 28, 2019
1
Lviv Polytechnic National University
2
Hetman Petro Sahaidachny National Army Academy
3
Lviv Polytechnic National University

The methodology of the studying of dynamic processes in two-dimensional systems by mathematical models containing nonlinear equation of Klein-Gordon was developed. The methodology contains such underlying: the concept of the motion wave theory; the single - frequency fluctuations principle in nonlinear systems; the asymptotic methods of nonlinear mechanics. The aggregate content allowed describing the dynamic process for the undisturbed (linear) analogue of the mathematical model of movement. The value determining the impact of nonlinear forces on the basic parameters of the waves for the disturbed analogue is defined.

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A. Andrukhiv, B. Sokil, M. Sokil, "Wave concept of motion in mathematical models of the dynamics of two-dimensional media studying", Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 5, no. 3-4, pp. 8-15, 2019.