Modeling and Simulation of Particle Motion in the Operation Area of a Centrifugal Rotary Chopper Machine

Andrzej Marczuk, Jacek Caban, Alexey V. Aleshkin, Petr A. Savinykh, Alexey Y. Isupov and Ilya I. Ivanov
Additional contact information
Andrzej Marczuk: Department of Agricultural, Forestry and Transport Machines, University of Life Sciences in Lublin, 20-612 Lublin, Poland
Jacek Caban: Department of Agricultural, Forestry and Transport Machines, University of Life Sciences in Lublin, 20-612 Lublin, Poland
Alexey V. Aleshkin: N.V. Rudnitsky North-East Agricultural Research Institute, Kirov 610007, Russia
Petr A. Savinykh: N.V. Rudnitsky North-East Agricultural Research Institute, Kirov 610007, Russia
Alexey Y. Isupov: N.V. Rudnitsky North-East Agricultural Research Institute, Kirov 610007, Russia
Ilya I. Ivanov: FSBEI HE Vologda State Dairy Farming Academy (DSFA) named after N.V. Vereshchagin, Vologda—Molochnoye 160555, Russia

Sustainability, 2019, vol. 11, issue 18, 1-15

Abstract: The article presents approaches to the formation of a general computational scheme for modeling (simulating) the particle motion on an axisymmetric rotating curved surface with a vertical axis of rotation. To describe the complex particle motion over a given surface, the fundamental equation of particle dynamics in a non-inertial reference frame was used, and by projecting it onto the axes of cylindrical coordinates, the Lagrange’s differential equations of the first kind were obtained. According to the proposed algorithm in C#, an application was developed that enables graphical and numerical control of the calculation results. The program interface contains six screen forms with tabular baseline data (input) and a table of a step-by-step calculation of results (output); particle displacement, velocity, and acceleration diagrams constructed along the axes of the system of cylindrical coordinates ρ and z ; graphical presentation of the generate of the surface of revolution and the trajectory of the absolute motion of a particle over the axisymmetric rotating surface developed in polar coordinates. Examples of the calculation of the particle motion are presented. The obtained results can be used for the study and design of machines, for example, centrifugal rotary chopper machines.

Keywords: accelerator; axisymmetric surface; general equation of dynamics; non-inertial reference frame (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2019
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