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12
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vol 63 / December, 2020
Article

DOI 10.17586/0021-3454-2018-61-2-129-134

UDC 531.47+531.536+531.555.1

KINETICS OF DYNAMICALLY UNBALANCED ROTATOR WITH DRY SLIDING FRICTION IN THE AXLE SUPPORTS

V. V. Chistov
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Saint Petersburg, Russia; student


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Abstract. The dynamics of free and forced rotation of a rigid body around the central but not the principal axis of inertia Oz, supported by a bearing and thrust bearing, is modeled mechanically under the conditions of hydrodynamic and dry friction. It is shown that The inertial pairs and pairs of dry friction arising in the plane of the axis are shown to depend not only on the centrifugal moments of inertia and the angular velocity, but also on the acceleration. The revealed dependence leads to dynamic equations with an irrational right-hand side in the general case, and with a discontinuous one in the particular case. The equations for simplest types of the motion are integrated analytically and numerically.
Keywords: dynamic disbalance, rotator, D'Alembert's principle, inertial pairs, bearing, thrust bearing, dry friction, hydrodynamic resistance, kinetics

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