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Movement of the Particle on the External Surface of the Cylinder, Which Makes the Translational Oscillations in Horizontal Planes

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Advances in Design, Simulation and Manufacturing (DSMIE 2019)

Abstract

Differential equations of relative displacement of a particle on the external surface of an inclined cylinder, which performs oscillatory motion, are obtained in the article. All points of the cylinder describe circles in horizontal planes. The equation has been solved numerically and trajectories of relative motion of a particle along the cylinder surface have been constructed. Graphs of other kinematic characteristics in time function are presented. Partial cases, when the axis of the cylinder is located horizontally or at an angle of friction to the horizontal plane, are considered. An experimental research to determine the soil separation efficiency by a sloping cylinder, which performs fluctuations, depending on the influence of individual factors (the coefficient of friction of the soil and the angle of inclination of the cylinder) was conducted in the article. After processing the experimental data, the regression equations were obtained to determine the separation quality and the response surface was constructed.

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Correspondence to Tatiana Zaharova .

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Pylypaka, S., Klendiy, M., Zaharova, T. (2019). Movement of the Particle on the External Surface of the Cylinder, Which Makes the Translational Oscillations in Horizontal Planes. In: Ivanov, V., et al. Advances in Design, Simulation and Manufacturing. DSMIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-93587-4_35

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  • DOI: https://doi.org/10.1007/978-3-319-93587-4_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-93586-7

  • Online ISBN: 978-3-319-93587-4

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