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

Received: November 12, 2019
Revised: December 21, 2019
Accepted: December 28, 2019

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.

Lviv Polytechnic National University
Hetman Petro Sahaidachny National Army Academy
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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