Author:
Kravets Viktor,Samusia Volodymyr,Kolosov Dmytro,Bas Kostiantyn,Onyshchenko Serhii
Abstract
A mathematical model of a travelling wave in a matrix form is constructed. A degree of discreteness of the travelling wave and corresponding steps in phase and length are introduced. Asymmetric, unified matrices are compiled, which represent a generalized travelling wave, depending on a degree of discreteness. A generalized, dimensionless travelling wave is transformed into a required one with dimensions by specified technical parameters: amplitude and wavelength that is realized. A dependency of coordinates of points of a plane discrete travelling wave and discrete phase angles is established. A dependency of angular (phase) velocity and velocity of the travelling wave, which corresponds to the known results, is established. The presented matrix mathematical model is considered as an initial stage of technical possibility to realize a continuous travelling wave in a discrete form when developing a new type of transportation – wave transport.
Reference45 articles.
1. Kulikova D.V., Pavlychenko A.V. (2016). Estimation of ecological state of surface water bodies in coal mining region as based on the complex of hydrochemical indicators. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (4), 62-70
2. Kolesnik V.Ye., Pavlichenko A.V., Buchavy Yu.V. (2016). Determination of dynamic parameters of dust emission from a coal mine fang. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (2), 81-87
3. Bulat A., Voloshyn O., Ponomarenko S., Gubenko D. (2013). New-generation technique and technology for leakage tests. Annual Scientific-Technical Colletion Mining of Mineral Deposits 2013, 1-4. doi: 10.1201/b16354-2
4. Bondarenko A.O., Naumenko R.P. (2019). Comprehensive solution of recycling waste from stone processing industry. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (4), 96-101. doi: 10.29202/nvngu/2019-4/14
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