Particle Motion over the Surface of a Cylinder, which Performs Translational Oscillations in a Vertical Plane

  • Serhii Pylypaka National University of Life and Environmental Sciences of Ukraine
  • Mykola Klendii Berezhany Agrotechnical Institute
  • Tetyana Kremets National University of Life and Environmental Sciences of Ukraine
  • Oleksandra Mykolaivna Klendii Berezhany Agrotechnical Institute

Abstract

Generalized differential equations of relative particle motion over the internal surface of an inclined cylinder, which performs an oscillating motion, have been formulated. All the points of a cylinder trace ellipses in vertical planes. Such cases of cylinder oscillation, when either semi-axes or one of them is equal to zero, that is to say, a cylinder performs reciprocating motion, have been considered. The equations have been solved applying numerical methods and trajectories of relative particle motion over the surface of a cylinder have been built. Graphs of other kinematic characteristics as a time-varying function have been presented. Certain cases, when a cylinder axis is located horizontally or at an angle to a horizontal plane, have been considered.

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Author Biographies

Serhii Pylypaka

National University of Life and Environmental Sciences of Ukraine, Heroiv Oborony Str., 15, Kyiv, Ukraine

Mykola Klendii

Separated Subdivision of National University of Life and Environmental Sciences of Ukraine Berezhany Agrotechnical Institute, Akademichna Str., 20, Berezhany, Ukraine

Tetyana Kremets

National University of Life and Environmental Sciences of Ukraine, Heroiv Oborony Str., 15, Kyiv, Ukraine

Oleksandra Mykolaivna Klendii

Separated Subdivision of National University of Life and Environmental Sciences of Ukraine Berezhany Agrotechnical Institute, Akademichna Str., 20, Berezhany, Ukraine

Published In
Vol 22 No 3, Jun 28, 2018
How to Cite
[1]
S. Pylypaka, M. Klendii, T. Kremets, and O. M. Klendii, “Particle Motion over the Surface of a Cylinder, which Performs Translational Oscillations in a Vertical Plane”, Eng. J., vol. 22, no. 3, pp. 83-92, Jun. 2018.