Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer

This article proposes a new method for optimizing tooth profile modification amounts of cycloidal reducers. By optimizing transmission error and transmission ratio fluctuation, the objective optimization function is determined, and the influence of optimized modification amount on various transmissi...

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Main Authors: Suzhen Wu, Ran Guo, Xuan Li
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/2/845
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author Suzhen Wu
Ran Guo
Xuan Li
author_facet Suzhen Wu
Ran Guo
Xuan Li
author_sort Suzhen Wu
collection DOAJ
description This article proposes a new method for optimizing tooth profile modification amounts of cycloidal reducers. By optimizing transmission error and transmission ratio fluctuation, the objective optimization function is determined, and the influence of optimized modification amount on various transmission performances is studied. In addition, this article also conducted mechanical analysis on the cycloidal reducer and obtained the results of tooth contact force. The mathematical model for the mechanical analysis of the cycloidal reducer was established, and the variation law of force distribution between the internal and external gears of the cycloidal reducer was calculated. The results indicate that the needle tooth force, bearing force, transmission ratio, and transmission error obtained through the mechanical analysis model using optimized modification quantities tend to stabilize and exhibit periodic changes, which corresponds to the actual scenario.
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spelling doaj.art-708d6efea816426d956d1449ee7a1a9c2024-01-29T13:45:15ZengMDPI AGApplied Sciences2076-34172024-01-0114284510.3390/app14020845Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed ReducerSuzhen Wu0Ran Guo1Xuan Li2School of Mechanical Engineering, Henan University of Engineering, Zhengzhou 451191, ChinaSchool of Mechanical and Electrical Engineering, Soochow University, Suzhou 215137, ChinaSchool of Mechanical and Electrical Engineering, Soochow University, Suzhou 215137, ChinaThis article proposes a new method for optimizing tooth profile modification amounts of cycloidal reducers. By optimizing transmission error and transmission ratio fluctuation, the objective optimization function is determined, and the influence of optimized modification amount on various transmission performances is studied. In addition, this article also conducted mechanical analysis on the cycloidal reducer and obtained the results of tooth contact force. The mathematical model for the mechanical analysis of the cycloidal reducer was established, and the variation law of force distribution between the internal and external gears of the cycloidal reducer was calculated. The results indicate that the needle tooth force, bearing force, transmission ratio, and transmission error obtained through the mechanical analysis model using optimized modification quantities tend to stabilize and exhibit periodic changes, which corresponds to the actual scenario.https://www.mdpi.com/2076-3417/14/2/845force analysistooth profile modificationoptimizationtransmission error
spellingShingle Suzhen Wu
Ran Guo
Xuan Li
Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
Applied Sciences
force analysis
tooth profile modification
optimization
transmission error
title Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
title_full Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
title_fullStr Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
title_full_unstemmed Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
title_short Quasi-Static Force Analysis and Tooth Profile Modification Optimization of the Cycloid Speed Reducer
title_sort quasi static force analysis and tooth profile modification optimization of the cycloid speed reducer
topic force analysis
tooth profile modification
optimization
transmission error
url https://www.mdpi.com/2076-3417/14/2/845
work_keys_str_mv AT suzhenwu quasistaticforceanalysisandtoothprofilemodificationoptimizationofthecycloidspeedreducer
AT ranguo quasistaticforceanalysisandtoothprofilemodificationoptimizationofthecycloidspeedreducer
AT xuanli quasistaticforceanalysisandtoothprofilemodificationoptimizationofthecycloidspeedreducer