E3S Web Conf.
Volume 164, 2020Topical Problems of Green Architecture, Civil and Environmental Engineering 2019 (TPACEE 2019)
|Number of page(s)||10|
|Section||Agriculture and Biotechnologies|
|Published online||05 May 2020|
Incorrect application of the epicycloid equation to the planetary mechanism of the cotton harvester
1 Tashkent State Technical University named after Islam Karimov, University Str., 2, 100174, Tashkent. Uzbekistan
2 Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Qori Niyoziy Str., 39, 100000, Tashkent, Uzbekistan
* Corresponding author: firstname.lastname@example.org
The content of the paper is based on the mathematical construction of the parametric equation of the epi- and hypocycloid curve described by a circle point. The purpose of the paper is to present the equations of epi- and hypocycloids in a parametric form in relation to the epi- and hypocyclic mechanism in a form convenient for calculation; to present the results of computational experiments on constructing phase trajectories of motion of a moving point of an epi- and hypocycloid. A detailed analysis of the analytical model of epi- and hypocycloids circumscribed by a point of a circle (on a moving circle) has been made. The equations of epi- and hypocycloids are presented in parametric form as applied to the epi- and hypocyclic mechanism in a form convenient for calculation. The results of studies on the construction of phase trajectories of a moving point of an epi- and hypocycloid with an analysis of the obtained curves are presented. The analytical model of epi- and hypocycloids is of practical importance, since it allows designing geared linkage mechanisms formed by attaching two-wire Assur group of various modifications to the planetary mechanism, as the primary mechanism.
© The Authors, published by EDP Sciences 2020
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