Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error

The China Bearing Reducer (CBR) is a single-stage cycloid reducer with a compact structure, primarily used in high-precision fields such as robotic joints and Computer Numerical Control (CNC) machine tool turntables, where strict requirements for transmission accuracy are necessary. Tooth modificati...

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Main Authors: Xiaoxiao Sun, Zhihao Qian, Yaochen Xu, Jiacai Huang
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Machines
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Online Access:https://www.mdpi.com/2075-1702/12/12/915
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author Xiaoxiao Sun
Zhihao Qian
Yaochen Xu
Jiacai Huang
author_facet Xiaoxiao Sun
Zhihao Qian
Yaochen Xu
Jiacai Huang
author_sort Xiaoxiao Sun
collection DOAJ
description The China Bearing Reducer (CBR) is a single-stage cycloid reducer with a compact structure, primarily used in high-precision fields such as robotic joints and Computer Numerical Control (CNC) machine tool turntables, where strict requirements for transmission accuracy are necessary. Tooth modification and manufacturing errors in the cycloid gear are two important factors affecting the transmission accuracy of CBRs. In this paper, the transmission performance of the CBR is studied using a new tooth modification method that considers manufacturing errors. Firstly, the structure of the CBR is introduced, and a new method known as Variable Isometric Sectional Profile Modification (VISPM) is proposed. Secondly, the Tooth Contact Analysis (TCA) model is constructed using the VISPM method, and a method for reconstructing the tooth profile with cycloid tooth profile error based on B-spline curve fitting is proposed. The TCA is carried out with both VISPM and tooth profile error. The influence of the modification parameters on meshing characteristics, such as contact force, contact stress, contact deformation, and transmission error, is analyzed. Thirdly, the optimization of the modification parameters is conducted using Particle Swarm Optimization (PSO) to determine the optimal VISPM and isometric and offset modification (IOM) parameter values. The results indicate that the VSIPM method is superior to the IOM method in enhancing meshing characteristics. A physical prototype of the CBR25 is manufactured using the optimized VISPM and IOM, and the transmission error is tested on an experimental platform. The test results demonstrate that the ETCA method is corrected for cycloid drive analysis.
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publishDate 2024-12-01
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spelling doaj-art-c7f06c09e5564c8d810e39491e1fea9f2024-12-27T14:37:09ZengMDPI AGMachines2075-17022024-12-01121291510.3390/machines12120915Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing ErrorXiaoxiao Sun0Zhihao Qian1Yaochen Xu2Jiacai Huang3School of Mechanical Engineering, Nanjing Institute of Technology, 1 Hongjing Avenue, Nanjing 211167, ChinaSchool of Mechanical Engineering, Nanjing Institute of Technology, 1 Hongjing Avenue, Nanjing 211167, ChinaSchool of Mechanical Engineering, Nanjing Institute of Technology, 1 Hongjing Avenue, Nanjing 211167, ChinaJiangsu Bionic Control Technology and Equipment Engineering Research Center, 1 Hongjing Avenue, Nanjing 211167, ChinaThe China Bearing Reducer (CBR) is a single-stage cycloid reducer with a compact structure, primarily used in high-precision fields such as robotic joints and Computer Numerical Control (CNC) machine tool turntables, where strict requirements for transmission accuracy are necessary. Tooth modification and manufacturing errors in the cycloid gear are two important factors affecting the transmission accuracy of CBRs. In this paper, the transmission performance of the CBR is studied using a new tooth modification method that considers manufacturing errors. Firstly, the structure of the CBR is introduced, and a new method known as Variable Isometric Sectional Profile Modification (VISPM) is proposed. Secondly, the Tooth Contact Analysis (TCA) model is constructed using the VISPM method, and a method for reconstructing the tooth profile with cycloid tooth profile error based on B-spline curve fitting is proposed. The TCA is carried out with both VISPM and tooth profile error. The influence of the modification parameters on meshing characteristics, such as contact force, contact stress, contact deformation, and transmission error, is analyzed. Thirdly, the optimization of the modification parameters is conducted using Particle Swarm Optimization (PSO) to determine the optimal VISPM and isometric and offset modification (IOM) parameter values. The results indicate that the VSIPM method is superior to the IOM method in enhancing meshing characteristics. A physical prototype of the CBR25 is manufactured using the optimized VISPM and IOM, and the transmission error is tested on an experimental platform. The test results demonstrate that the ETCA method is corrected for cycloid drive analysis.https://www.mdpi.com/2075-1702/12/12/915tooth modificationmanufacturing errorB-spline curve fittingtransmission performance
spellingShingle Xiaoxiao Sun
Zhihao Qian
Yaochen Xu
Jiacai Huang
Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
Machines
tooth modification
manufacturing error
B-spline curve fitting
transmission performance
title Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
title_full Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
title_fullStr Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
title_full_unstemmed Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
title_short Meshing Characteristic Analysis of CBR Reducer Considering Tooth Modification and Manufacturing Error
title_sort meshing characteristic analysis of cbr reducer considering tooth modification and manufacturing error
topic tooth modification
manufacturing error
B-spline curve fitting
transmission performance
url https://www.mdpi.com/2075-1702/12/12/915
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AT zhihaoqian meshingcharacteristicanalysisofcbrreducerconsideringtoothmodificationandmanufacturingerror
AT yaochenxu meshingcharacteristicanalysisofcbrreducerconsideringtoothmodificationandmanufacturingerror
AT jiacaihuang meshingcharacteristicanalysisofcbrreducerconsideringtoothmodificationandmanufacturingerror