Discrete mathematical model of travelling wave of conveyor transport
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 di...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/28/e3sconf_rmget2020_00030.pdf |
| _version_ | 1818457734792609792 |
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| author | Kravets Viktor Samusia Volodymyr Kolosov Dmytro Bas Kostiantyn Onyshchenko Serhii |
| author_facet | Kravets Viktor Samusia Volodymyr Kolosov Dmytro Bas Kostiantyn Onyshchenko Serhii |
| author_sort | Kravets Viktor |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T22:47:17Z |
| format | Article |
| id | doaj.art-90c1175f80ec432fb21172d4dfe9a81f |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-14T22:47:17Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-90c1175f80ec432fb21172d4dfe9a81f2022-12-21T22:44:49ZengEDP SciencesE3S Web of Conferences2267-12422020-01-011680003010.1051/e3sconf/202016800030e3sconf_rmget2020_00030Discrete mathematical model of travelling wave of conveyor transportKravets Viktor0Samusia Volodymyr1Kolosov Dmytro2Bas Kostiantyn3Onyshchenko Serhii4Dnipro University of TechnologyDnipro University of TechnologyDnipro University of TechnologyDnipro University of TechnologyDnipro University of TechnologyA 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/28/e3sconf_rmget2020_00030.pdf |
| spellingShingle | Kravets Viktor Samusia Volodymyr Kolosov Dmytro Bas Kostiantyn Onyshchenko Serhii Discrete mathematical model of travelling wave of conveyor transport E3S Web of Conferences |
| title | Discrete mathematical model of travelling wave of conveyor transport |
| title_full | Discrete mathematical model of travelling wave of conveyor transport |
| title_fullStr | Discrete mathematical model of travelling wave of conveyor transport |
| title_full_unstemmed | Discrete mathematical model of travelling wave of conveyor transport |
| title_short | Discrete mathematical model of travelling wave of conveyor transport |
| title_sort | discrete mathematical model of travelling wave of conveyor transport |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/28/e3sconf_rmget2020_00030.pdf |
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