Mathematical simulation of dynamics of a rotating ring on supports exposed to cutting forces
| Authors: Polunin A.I. | Published: 10.06.2013 |
| Published in issue: #1(48)/2013 | |
| DOI: | |
| Category: Applied Mathematics and Methods of Mathematical Simulation | |
| Keywords: dynamics of a rotating ring on supports, frameless turning of the rings, consideration for internal friction forces in the rotating ring, the precession resonance in the rotating ring | |
A mathematical model of dynamics of a rotating ring on supports, which is exposed to cutting forces in the process of turning, is formulated. The formulas are derived which allow the standing wave precession to be taken into account during the determination of internal friction forces. Based on the analysis of the derived equations, the possibility of precession resonance occurrence is shown. Calculation results are given.
References
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[2] Полунин А.И. Динамика прецессионного движения стоячих волн во вращающемся кольце с опорами // Труды VIII Международной научно-технической конференции "Вибрация-2008. Вибрационные машины и технологии". – Курск: КГТУ, 2008. – С. 106–112.