Maple-model of particle movement on an involvent cylinder
DOI:
https://doi.org/10.31548/energiya2020.03.102Abstract
In grain harvesters there is an interaction of a moving particle with a rough surface of enclosing casings of various cylindrical forms. Establishing the patterns of particle motion on the rough surface of the cylinder allows you to calculate the structural and kinematic parameters of the enclosing casings.
In order to rationally move or separate bulk material, it is necessary to take into account a significant number of design and technological factors, which is extremely difficult to do without computer analysis.
Computer technology allows to solve the problem of modeling the motion of a particle on a rough cylindrical surface, completely eliminate time-consuming analytical transformations to form the law of its motion, and leave only the interactive computational experiment.
The purpose of the study is to develop a Maple-model of particle motion in an involute cylinder.
The parametric equation of the uv-coordinate grid of a horizontal cylinder with an orthogonal cross section of the involute of a circle with an upward convexity is obtained. This made it possible to obtain the laws of motion of the particle in the projections on the horts.
As a result of modeling, the trajectory-kinematic properties of particle motion on a fixed rough surface of an involute cylinder are established.
Computational experiments have shown that to reduce crop losses, the upper casings of the combing reapers in the form of an involute cylinder must be divided into separate sections, because the grains thrown by the combing beater at an angle to the rectilinear cylindrical surfaces can break away from them.
Key words: involute cylinder, Maple-model, material point, trajectory
References
Voitiuk, D. H., Havryliuk, H. R. (1994). Silskohospodarski mashyny [Agricultural machinery]. Kyiv: Urozhai, 448.
Gortinskiy, V. V., Demskiy, A. B., Boriskin, M. A. (1980). Protsessy separatsii na zernoobrabatyvayushchikh predpriyatiyakh [Separation processes at grain processing enterprises]. Moskow: Kolos, 303.
Patent na korysnu model 70852 Ukrainy. MPK A01D 41/08. Dvobarabanna obchisuiucha zhatka z evolventnym profilem verkhnoho kozhukha.. [Two-drum combing reaper with involute profile of the upper casing]. Abibullaev E. S. Publ. 25.06.2012. Bull. №12.
Nesvidomin. A. V. (2011). Modeliuvannia rukhu chastynky po shorstkii vnutrishnii poverkhni horyzontalnoho tsylindra v proektsiiakh na orty lokalnykh system koordynat [Simulation of particle motion along the rough inner surface of a horizontal cylinder in projections on the orthoses of local coordinate systems]. Heometrychne ta komp’iuterne modeliuvannia. Kharkiv: KhDUKhT, 29, 23-29.
Downloads
Published
Issue
Section
License
Relationship between right holders and users shall be governed by the terms of the license Creative Commons Attribution – non-commercial – Distribution On Same Conditions 4.0 international (CC BY-NC-SA 4.0):https://creativecommons.org/licenses/by-nc-sa/4.0/deed.uk
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
