Power analysis of chain transmission with gear chain and involute sprockets

Introduction. The power analysis of a chain transmission with a toothed chain and involute sprockets considers the centrifugal forces and the friction coefficients between the plate and the sprocket tooth. The work objectives are to determine all meshing forces, and to calculate the coupling coeffic...

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Main Authors: S. B. Berezhnoy, G. V. Kurapov
Format: Article
Language:Russian
Published: Don State Technical University 2021-04-01
Series:Advanced Engineering Research
Subjects:
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1745
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author S. B. Berezhnoy
G. V. Kurapov
author_facet S. B. Berezhnoy
G. V. Kurapov
author_sort S. B. Berezhnoy
collection DOAJ
description Introduction. The power analysis of a chain transmission with a toothed chain and involute sprockets considers the centrifugal forces and the friction coefficients between the plate and the sprocket tooth. The work objectives are to determine all meshing forces, and to calculate the coupling coefficient of the gear chain with the involute sprocket in the drive gears.Materials and Methods. When evaluating the traction capacity of a chain transmission, such parameters as the power analysis and the coupling coefficient of the gear chain with the sprocket are important (it shows what fold the pressure on a given tooth is greater than the pressure perceived by the tooth in front). In the presented paper, the following diagrams are visualized: the arrangement of the plates in gearing with the involute sprocket teeth and the meshing forces. The factors that affect the involute profile of the sprocket tooth are considered. This includes the weight of the chain plate package and the force: centrifugal, friction, normal pressure and tension. At the same time, changes in the coupling coefficient for the subsequent teeth involved in traction are taken into account. The balance of the links i and i+ 1 of the gear chain is studied in the coordinate system XOY with the center on the axis of rotation of the involute sprocket. The method enables to determine all the desired forces through the geometric calculation of the values of the angular transmission parameters. Using the equations obtained, the following parameters are specified: the coupling coefficient Bi, the tension of the driving branch S1 and the slack branch S2.Results. A patented transmission stand with a gear chain and involute sprockets is presented. The tests carried out on itvalidated the study results of a chain transmission with a toothed gear and involute sprockets with the specified parameters. The correctness of the power analysis of the transmission with account for the centrifugal forces and the friction coefficients of the plates and the sprocket teeth was proved.Discussion and Conclusions. It is noted that the centrifugal forces and the friction coefficients during engagement affect significantly the traction capacity of a transmission with a toothed chain and involute sprockets. The data obtained can be used to accurately estimate the traction capacity of such gears.
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spelling doaj.art-4852432dfd894595bb355e9cba4b9f5a2023-03-13T07:31:29ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532021-04-01211828810.23947/2687-1653-2021-21-1-82-881511Power analysis of chain transmission with gear chain and involute sprocketsS. B. Berezhnoy0G. V. Kurapov1ФГБОУ ВО «Кубанский государственный технологический университет»ФГБОУ ВО «Кубанский государственный технологический университет»Introduction. The power analysis of a chain transmission with a toothed chain and involute sprockets considers the centrifugal forces and the friction coefficients between the plate and the sprocket tooth. The work objectives are to determine all meshing forces, and to calculate the coupling coefficient of the gear chain with the involute sprocket in the drive gears.Materials and Methods. When evaluating the traction capacity of a chain transmission, such parameters as the power analysis and the coupling coefficient of the gear chain with the sprocket are important (it shows what fold the pressure on a given tooth is greater than the pressure perceived by the tooth in front). In the presented paper, the following diagrams are visualized: the arrangement of the plates in gearing with the involute sprocket teeth and the meshing forces. The factors that affect the involute profile of the sprocket tooth are considered. This includes the weight of the chain plate package and the force: centrifugal, friction, normal pressure and tension. At the same time, changes in the coupling coefficient for the subsequent teeth involved in traction are taken into account. The balance of the links i and i+ 1 of the gear chain is studied in the coordinate system XOY with the center on the axis of rotation of the involute sprocket. The method enables to determine all the desired forces through the geometric calculation of the values of the angular transmission parameters. Using the equations obtained, the following parameters are specified: the coupling coefficient Bi, the tension of the driving branch S1 and the slack branch S2.Results. A patented transmission stand with a gear chain and involute sprockets is presented. The tests carried out on itvalidated the study results of a chain transmission with a toothed gear and involute sprockets with the specified parameters. The correctness of the power analysis of the transmission with account for the centrifugal forces and the friction coefficients of the plates and the sprocket teeth was proved.Discussion and Conclusions. It is noted that the centrifugal forces and the friction coefficients during engagement affect significantly the traction capacity of a transmission with a toothed chain and involute sprockets. The data obtained can be used to accurately estimate the traction capacity of such gears.https://www.vestnik-donstu.ru/jour/article/view/1745цепная передачазубчатая цепьэвольвентная звездочкапластина цепитяговая способностькоэффициенты сцепленияцентробежные силысилы трениякоэффициенты тренияугловая скорость шарнираведущая ветвьведомая ветвь
spellingShingle S. B. Berezhnoy
G. V. Kurapov
Power analysis of chain transmission with gear chain and involute sprockets
Advanced Engineering Research
цепная передача
зубчатая цепь
эвольвентная звездочка
пластина цепи
тяговая способность
коэффициенты сцепления
центробежные силы
силы трения
коэффициенты трения
угловая скорость шарнира
ведущая ветвь
ведомая ветвь
title Power analysis of chain transmission with gear chain and involute sprockets
title_full Power analysis of chain transmission with gear chain and involute sprockets
title_fullStr Power analysis of chain transmission with gear chain and involute sprockets
title_full_unstemmed Power analysis of chain transmission with gear chain and involute sprockets
title_short Power analysis of chain transmission with gear chain and involute sprockets
title_sort power analysis of chain transmission with gear chain and involute sprockets
topic цепная передача
зубчатая цепь
эвольвентная звездочка
пластина цепи
тяговая способность
коэффициенты сцепления
центробежные силы
силы трения
коэффициенты трения
угловая скорость шарнира
ведущая ветвь
ведомая ветвь
url https://www.vestnik-donstu.ru/jour/article/view/1745
work_keys_str_mv AT sbberezhnoy poweranalysisofchaintransmissionwithgearchainandinvolutesprockets
AT gvkurapov poweranalysisofchaintransmissionwithgearchainandinvolutesprockets