MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX
Theoretical background for calculation of k-h-v type cycloid reducers was developed relatively long ago. However, recently the matters of cycloid reducer design again attracted heightened attention. The reason for that is that such devices are used in many complex engineering systems, particularly...
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| Format: | Article |
| Language: | English |
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Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)
2014-11-01
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| Series: | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
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| Online Access: | http://ntv.ifmo.ru/file/article/11206.pdf |
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| author | Ivan M. Egorov Sergei A. Aleksanin Mikhail E. Fedosovskiy Natalya P. Kryazheva |
| author_facet | Ivan M. Egorov Sergei A. Aleksanin Mikhail E. Fedosovskiy Natalya P. Kryazheva |
| author_sort | Ivan M. Egorov |
| collection | DOAJ |
| description | Theoretical background for calculation of k-h-v type cycloid reducers was developed relatively long ago. However,
recently the matters of cycloid reducer design again attracted heightened attention. The reason for that is that such devices are
used in many complex engineering systems, particularly, in mechatronic and robotics systems. The development of advanced
technological capabilities for manufacturing of such reducers today gives the possibility for implementation of essential
features of such devices: high efficiency, high gear ratio, kinematic accuracy and smooth motion. The presence of an
adequate mathematical model gives the possibility for adjusting kinematic accuracy of the reducer by rational selection of
manufacturing tolerances for its parts. This makes it possible to automate the design process for cycloid reducers with
account of various factors including technological ones. A mathematical model and mathematical technique have been
developed giving the possibility for modeling the kinematic error of the reducer with account of multiple factors, including
manufacturing errors. The errors are considered in the way convenient for prediction of kinematic accuracy early at the
manufacturing stage according to the results of reducer parts measurement on coordinate measuring machines. During the
modeling, the wheel manufacturing errors are determined by the eccentricity and radius deviation of the pin tooth centers
circle, and the deviation between the pin tooth axes positions and the centers circle. The satellite manufacturing errors are
determined by the satellite eccentricity deviation and the satellite rim eccentricity. Due to the collinearity, the pin tooth and
pin tooth hole diameter errors and the satellite tooth profile errors for a designated contact point are integrated into one
deviation. Software implementation of the model makes it possible to estimate the pointed errors influence on satellite
rotation angle error and reasonable selection of accuracy parameters for technological processes related to reducer parts
manufacture. Additionally, it gives the possibility for estimation of the reducer kinematic error according to measurements by
means of a coordinate measuring machine and diagnostics of reducer parts manufacturing errors by means of its kinematogram analysis. The model is implemented as a program developed in Microsoft Visual C++ 6.0 environment.
Obtained results have found their application in CAD of cycloid reducers. |
| first_indexed | 2024-12-18T19:11:20Z |
| format | Article |
| id | doaj.art-c337bdd60d19424ca030a0c085fa2acd |
| institution | Directory Open Access Journal |
| issn | 2226-1494 2500-0373 |
| language | English |
| last_indexed | 2024-12-18T19:11:20Z |
| publishDate | 2014-11-01 |
| publisher | Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University) |
| record_format | Article |
| series | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
| spelling | doaj.art-c337bdd60d19424ca030a0c085fa2acd2022-12-21T20:56:16ZengSaint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki2226-14942500-03732014-11-01146171176MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOXIvan M. Egorov0Sergei A. Aleksanin 1Mikhail E. Fedosovskiy 2Natalya P. Kryazheva 3PhD, senior researcher, “Diakont”, JSC, Saint Petersburg, 195274, Russian FederationTechnological Equipment & Control Systems Division Director, “Diakont”, JSC, Saint Petersburg, 195274, Russian FederationPhD, General Manager, “Diakont”, JSC, Saint Petersburg, 195274, Russian FederationTechnological Safety Laboratory Head, ITMO University, Saint Petersburg, 197101, Russian FederationTheoretical background for calculation of k-h-v type cycloid reducers was developed relatively long ago. However, recently the matters of cycloid reducer design again attracted heightened attention. The reason for that is that such devices are used in many complex engineering systems, particularly, in mechatronic and robotics systems. The development of advanced technological capabilities for manufacturing of such reducers today gives the possibility for implementation of essential features of such devices: high efficiency, high gear ratio, kinematic accuracy and smooth motion. The presence of an adequate mathematical model gives the possibility for adjusting kinematic accuracy of the reducer by rational selection of manufacturing tolerances for its parts. This makes it possible to automate the design process for cycloid reducers with account of various factors including technological ones. A mathematical model and mathematical technique have been developed giving the possibility for modeling the kinematic error of the reducer with account of multiple factors, including manufacturing errors. The errors are considered in the way convenient for prediction of kinematic accuracy early at the manufacturing stage according to the results of reducer parts measurement on coordinate measuring machines. During the modeling, the wheel manufacturing errors are determined by the eccentricity and radius deviation of the pin tooth centers circle, and the deviation between the pin tooth axes positions and the centers circle. The satellite manufacturing errors are determined by the satellite eccentricity deviation and the satellite rim eccentricity. Due to the collinearity, the pin tooth and pin tooth hole diameter errors and the satellite tooth profile errors for a designated contact point are integrated into one deviation. Software implementation of the model makes it possible to estimate the pointed errors influence on satellite rotation angle error and reasonable selection of accuracy parameters for technological processes related to reducer parts manufacture. Additionally, it gives the possibility for estimation of the reducer kinematic error according to measurements by means of a coordinate measuring machine and diagnostics of reducer parts manufacturing errors by means of its kinematogram analysis. The model is implemented as a program developed in Microsoft Visual C++ 6.0 environment. Obtained results have found their application in CAD of cycloid reducers.http://ntv.ifmo.ru/file/article/11206.pdfmodelingplanetary gearboxpin-gear drivecycloid gearkinematic accuracymanufacturing error |
| spellingShingle | Ivan M. Egorov Sergei A. Aleksanin Mikhail E. Fedosovskiy Natalya P. Kryazheva MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki modeling planetary gearbox pin-gear drive cycloid gear kinematic accuracy manufacturing error |
| title | MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX |
| title_full | MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX |
| title_fullStr | MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX |
| title_full_unstemmed | MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX |
| title_short | MODELING OF MANUFACTURING ERRORS FOR PIN-GEAR ELEMENTS OF PLANETARY GEARBOX |
| title_sort | modeling of manufacturing errors for pin gear elements of planetary gearbox |
| topic | modeling planetary gearbox pin-gear drive cycloid gear kinematic accuracy manufacturing error |
| url | http://ntv.ifmo.ru/file/article/11206.pdf |
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