Modeling of Boring Mandrel Working Process with Vibration Damper
The article considers the issue of modeling the oscillations of a boring mandrel with vibration damper connected to the mandrel with a viscoelastic coupling. A mathematical model of the boring mandrel oscillations, machine support and inertial body (damper) is developed in the form of a differential...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/13/8/1931 |
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| author | Kirill Sentyakov Jozef Peterka Vitalii Smirnov Pavol Bozek Vladislav Sviatskii |
| author_facet | Kirill Sentyakov Jozef Peterka Vitalii Smirnov Pavol Bozek Vladislav Sviatskii |
| author_sort | Kirill Sentyakov |
| collection | DOAJ |
| description | The article considers the issue of modeling the oscillations of a boring mandrel with vibration damper connected to the mandrel with a viscoelastic coupling. A mathematical model of the boring mandrel oscillations, machine support and inertial body (damper) is developed in the form of a differential equations system. The model is made in the form of a four-mass system of connected bodies. The solution to the differential equations system was found using the finite difference method, as well as the operator method with the use of the Laplace transform. As the simulation result, it was found that the use of vibration damper can significantly reduce the amplitude of the boring mandrel natural vibrations when pulsed, and also significantly reduce the forced vibrations amplitude when exposed to periodic disturbing forces. The developed mathematical model and algorithms for the numerical solution to the differential equations allowed us to choose the optimal parameters of the boring mandrel damping element. The obtained data will be used to create a prototype boring mandrel and conduct field tests. |
| first_indexed | 2024-03-10T20:21:16Z |
| format | Article |
| id | doaj.art-61256e49403b4915bc0846338904deef |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T20:21:16Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-61256e49403b4915bc0846338904deef2023-11-19T22:09:17ZengMDPI AGMaterials1996-19442020-04-01138193110.3390/ma13081931Modeling of Boring Mandrel Working Process with Vibration DamperKirill Sentyakov0Jozef Peterka1Vitalii Smirnov2Pavol Bozek3Vladislav Sviatskii4Faculty of Technology, Votkinsk Branch of Kalashnikov Izhevsk State Technical University, 426069 Izhevsk, RussiaFaculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Ulica Jána Bottu č. 2781/25, 917-23 Trnava, SlovakiaFaculty of Technology, Votkinsk Branch of Kalashnikov Izhevsk State Technical University, 426069 Izhevsk, RussiaFaculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Ulica Jána Bottu č. 2781/25, 917-23 Trnava, SlovakiaFaculty of Technology, Votkinsk Branch of Kalashnikov Izhevsk State Technical University, 426069 Izhevsk, RussiaThe article considers the issue of modeling the oscillations of a boring mandrel with vibration damper connected to the mandrel with a viscoelastic coupling. A mathematical model of the boring mandrel oscillations, machine support and inertial body (damper) is developed in the form of a differential equations system. The model is made in the form of a four-mass system of connected bodies. The solution to the differential equations system was found using the finite difference method, as well as the operator method with the use of the Laplace transform. As the simulation result, it was found that the use of vibration damper can significantly reduce the amplitude of the boring mandrel natural vibrations when pulsed, and also significantly reduce the forced vibrations amplitude when exposed to periodic disturbing forces. The developed mathematical model and algorithms for the numerical solution to the differential equations allowed us to choose the optimal parameters of the boring mandrel damping element. The obtained data will be used to create a prototype boring mandrel and conduct field tests.https://www.mdpi.com/1996-1944/13/8/1931boring mandrelvibrationsdamping elementfinite difference method |
| spellingShingle | Kirill Sentyakov Jozef Peterka Vitalii Smirnov Pavol Bozek Vladislav Sviatskii Modeling of Boring Mandrel Working Process with Vibration Damper Materials boring mandrel vibrations damping element finite difference method |
| title | Modeling of Boring Mandrel Working Process with Vibration Damper |
| title_full | Modeling of Boring Mandrel Working Process with Vibration Damper |
| title_fullStr | Modeling of Boring Mandrel Working Process with Vibration Damper |
| title_full_unstemmed | Modeling of Boring Mandrel Working Process with Vibration Damper |
| title_short | Modeling of Boring Mandrel Working Process with Vibration Damper |
| title_sort | modeling of boring mandrel working process with vibration damper |
| topic | boring mandrel vibrations damping element finite difference method |
| url | https://www.mdpi.com/1996-1944/13/8/1931 |
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