Discrete mathematical model of travelling wave of conveyor transport
| Autor: | Dmytro Kolosov, Volodymyr Samusia, Viktor Kravets, Serhii Onyshchenko, Kostiantyn Bas |
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| Rok vydání: | 2020 |
| Předmět: |
lcsh:GE1-350
Physics Dependency (UML) Plane (geometry) Mathematical analysis 0211 other engineering and technologies Phase (waves) 02 engineering and technology Type (model theory) Wavelength Matrix (mathematics) Amplitude 021108 energy lcsh:Environmental sciences 021102 mining & metallurgy Dimensionless quantity |
| Zdroj: | E3S Web of Conferences, Vol 168, p 00030 (2020) |
| ISSN: | 2267-1242 |
| DOI: | 10.1051/e3sconf/202016800030 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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