A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by p...

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Main Authors: Chang Liu, Wankai Shi, Lang Xu, Kun Liu
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/18/8671
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author Chang Liu
Wankai Shi
Lang Xu
Kun Liu
author_facet Chang Liu
Wankai Shi
Lang Xu
Kun Liu
author_sort Chang Liu
collection DOAJ
description Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.
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spelling doaj.art-33795a0d6685479297d29e25e6098cde2023-11-22T11:56:34ZengMDPI AGApplied Sciences2076-34172021-09-011118867110.3390/app11188671A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth SurfacesChang Liu0Wankai Shi1Lang Xu2Kun Liu3State Key Laboratory of Mechanical Transmission, Chongqing University, 174 Shazhengjie, Shapingba, Chongqing 400044, ChinaState Key Laboratory of Mechanical Transmission, Chongqing University, 174 Shazhengjie, Shapingba, Chongqing 400044, ChinaDepartment of Mechanical Engineering, Politecnico di Milano, Via G. La Masa 1, 20156 Milan, ItalyState Key Laboratory of Mechanical Transmission, Chongqing University, 174 Shazhengjie, Shapingba, Chongqing 400044, ChinaTransmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.https://www.mdpi.com/2076-3417/11/18/8671transmission errorbacklashcycloid-pin drivesprofile modificationsmanufacturing errorsassembly errors
spellingShingle Chang Liu
Wankai Shi
Lang Xu
Kun Liu
A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
Applied Sciences
transmission error
backlash
cycloid-pin drives
profile modifications
manufacturing errors
assembly errors
title A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
title_full A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
title_fullStr A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
title_full_unstemmed A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
title_short A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces
title_sort novel approach to calculating the transmission accuracy of a cycloid pin gear pair based on error tooth surfaces
topic transmission error
backlash
cycloid-pin drives
profile modifications
manufacturing errors
assembly errors
url https://www.mdpi.com/2076-3417/11/18/8671
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