Серілко, Л. С. та Сасюк, З. К. та Серілко, Д. Л. та Сиротинський, О. А. та Приндюк, К. Р. та Serilko, L. S. та Sasiuk, Z. K. та Serilko, D. L. та Sуrotуnskyі, O. А. та Pryndiuk, K. R. (2021) ДОСЛІДЖЕННЯ ДИНАМІКИ МЕХАНІЧНИХ СИСТЕМ З ПЕРЕТВОРЕНИМ СУХИМ ТЕРТЯМ. Вісник Національного університету водного господарства та природокористування (4(96)). с. 172-183.

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Анотація

В роботі розглянуто рух твердого тіла по похилій шорсткій поверхні при наявності поперечної сили. Визначено мінімальне значення величини цієї сили для забезпечення руху тіла по площині. Отримані диференціальні рівняння руху цього тіла. Експериментальним шляхом підтверджено результати теоретичних досліджень руху тіла по похилій площині.

Title in English

RESEARCH OF DYNAMICS OF MECHANICAL SYSTEMS WITH CONVERTED DRY FRICTION

English abstract

The dynamic model of many technological processes can be represented by the movement of the body on a rough surface, which is subject to additional forces that are not directed along the line of the greatest slope. These additional forces can be both kinematic and dynamic. The paper considers the motion of a rigid body on an inclined rough surface in the presence of a transverse force, which is the tension of the thread attached to the load of constant weight. It is established that the presence of such a force has the effect of converting dry friction into viscous friction. The minimum value of this force to ensure the motion of the body in the plane, depending on the angle of its inclination to the horizon and the coefficient of sliding friction. A mathematical model of the motion of a body on an inclined plane has been developed, on which, in addition to the forces of gravity and sliding friction, an additional force acts. The magnitude and direction of the extra force depends on the position of the body on the surface. Since the differential equations of motion of this body are essentially nonlinear, we have solved them by numerical methods. As a result of integration, we obtained dependences between the coordinates of the point at different geometrical parameters of the system, the coefficient of sliding friction and the magnitude of the transverse force. To verify the results of theoretical studies of body motion on an inclined plane in the presence of transverse force, we designed and manufactured a laboratory installation. The results of theoretical studies of body motion on an inclined plane have been confirmed experimentally. The error of research is from 15.7% to 21.4%. The proposed technique can be used in the design of mechanisms in which there is a transformed dry friction. For example, in the design of new generation conveyor systems, including highperformance inertial conveyors

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