Movement of particle on inner surface with preset meridian, which rotates around vertical axis
DOI:
https://doi.org/10.31548/machenergy2021.04.015Keywords:
surface of rotation, angular velocity of rotation, relative movement, particle, differential equations, sliding trajectoryAbstract
The article considers the relative movement of a particle on a surface which rotates around a vertical axis. The meridian of the surface is the branch of the parabola, offset from the axis of symmetry by a given value. Differential equations of relative displacement of a particle are compiled and solved by numerical methods. The trajectories of the particle and the graphs of velocity change are constructed. The regularity of the particle's movement when it rises on the surface is clarified.References
Vasilenko P. M. (1960). The theory of particle motion on rough surfaces of agricultural machines. Kyiv. Publishing house of Ukr. acad. rural sciences. 283.
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.
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.
Nazarenko I., Dedov O., Bernyk I., Rogovskii I., Bondarenko A., Zapryvoda A., Titova L. (2020). Study of stability of modes and parameters of motion of vibrating machines for technological purpose. Eastern-European Journal of Enterprise Technologies. 6 (7-108). 71-79. doi: 10.15587/1729-4061.2020.217747.
Adamchuk V. V. (2003). Investigation of the general case of dispersal of mineral fertilizers by centrifugal scattering body. Bulletin of Agrarian Science. 12. 51-57.
Gevko B. M., Lototsky R. I., Pryshlyak V. M. (2013). Mathematical modeling of grain movement on moving surfaces of sowing machines. Agricultural machinery. 26. 27-35.
Volina T. M., Pylypaka S. F., Babka V. M., Nesvidomin A. V. (2021). Construction of meridian for given movement of particle on surface which rotates around the vertical axis. Machinery & Energetics. Journal of Rural Production Research. Kyiv. Ukraine. 12(3). 33-38.
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. Lecture Notes in Mechanical Engineering. F2. 336-345.
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