Wave concept of motion in mathematical models of the dynamics of two-dimensional media studying
No Thumbnail Available
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Lviv Politechnic Publishing House
Abstract
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.
Description
Keywords
dispersion ratio, amplitude, frequency, wave number, mathematical model, nonlinear oscillations, asymptotic solution
Citation
Andrukhiv A. Wave concept of motion in mathematical models of the dynamics of two-dimensional media studying / Andrij Andrukhiv, Bohdan Sokil, Mariia Sokil // Ukrainian Journal of Mechanical Engineering and Materials Science. – Lviv : Lviv Politechnic Publishing House, 2019. – Volume 5, № 3/4. – P. 8–15. – Bibliography: 11 titles.