Investigation of particle movement on rotary spherical segment

Authors

  • T. M. Volina National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • S. F. Pylypaka National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/machenergy2021.02.033

Keywords:

spherical segment, angular velocity of rotation, relative movement, particle, differential equations, kinematic parameters

Abstract

The article considers the relative movement of a particle along a spherical segment that rotates around a vertical axis. Differential equations of relative displacement of a particle have been compiled and solved by numerical methods. The relative and absolute particle trajectories and the graphs of changes in relative and absolute velocities were constructed. The regularity of the particle's movement when it rises on the surface is clarified.

References

Pylypaka S., Klendii M., Zaharova T. (2019). Movement of the particle on the external surface of the cylinder, which makes the translational oscillations in horizontal planes. Lecture Notes in Mechanical Engineer-ing. 2. 336–345.

Pylypaka S., Klendii M., Kremets T., Klendii O. (2018). Particle motion over the surface of a cylinder, which performs translational oscillations in a vertical plane. Engineering Journal. 22(3). 83–92.

Batluk V., Basov M., Klymets V. (2013). Mathe-matical model for motion of weighted parts in curled flow. Econtechmod. 2(3). 17–24.

Liaposchenko O., Pavlenko I., Nastenko O. (2017). The model of crossed movement and gas-liquid flow interaction with captured liquid film in the inertial-filtering separation channels. Separation and Purification Technology. 173. 240–243.

Kresan T., Pylypaka S., Ruzhylo Z., Rogovskii I., Trokhaniak O. (2020). External rolling of a polygon on a closed curvilinear profile. Acta Polytechnica. 60(4). 313–317. https://doi.org/10.14311/AP.2020.60. 0313.

Pylypaka S. F., Nesvidomin V. M., Klendii M. B., Rogovskii I. L., Kresan T. A., Trokhaniak V. I. (2019). Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder. Bulletin of the Karaganda University – Mathematics. 95(3). 108–118. doi 10.31489/2019M2/108-119.

Pilipaka S. F., Zaharova T. N., Nesvidomin A. V. (2013). The shape of the axis of a flexible incompressible strip when it is pushed along an inclined rough plane at a constant speed. MOTROL. Rzeszow. 15(4). 198–205.

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Published

2022-01-15

Issue

No. 12(2) (2021)

Section

Статті

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