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Open AccessArticle

Modeling of Boring Mandrel Working Process with Vibration Damper

1
Faculty of Technology, Votkinsk Branch of Kalashnikov Izhevsk State Technical University, 426069 Izhevsk, Russia
2
Faculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Ulica Jána Bottu č. 2781/25, 917-23 Trnava, Slovakia
*
Author to whom correspondence should be addressed.
Materials 2020, 13(8), 1931; https://doi.org/10.3390/ma13081931
Received: 16 March 2020 / Revised: 14 April 2020 / Accepted: 16 April 2020 / Published: 20 April 2020
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. View Full-Text
Keywords: boring mandrel; vibrations; damping element; finite difference method boring mandrel; vibrations; damping element; finite difference method
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MDPI and ACS Style

Sentyakov, K.; Peterka, J.; Smirnov, V.; Bozek, P.; Sviatskii, V. Modeling of Boring Mandrel Working Process with Vibration Damper. Materials 2020, 13, 1931.

AMA Style

Sentyakov K, Peterka J, Smirnov V, Bozek P, Sviatskii V. Modeling of Boring Mandrel Working Process with Vibration Damper. Materials. 2020; 13(8):1931.

Chicago/Turabian Style

Sentyakov, Kirill; Peterka, Jozef; Smirnov, Vitalii; Bozek, Pavol; Sviatskii, Vladislav. 2020. "Modeling of Boring Mandrel Working Process with Vibration Damper" Materials 13, no. 8: 1931.

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