Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory

In order to investigate the influence of the error of center distance between the driving pinion and rack track meshing and the error of axis non-parallelism on the contact stress distribution during the curved driving of rack-rail trains, an analytical model of rack and pinion contact stresses is e...

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Main Authors: Lei Huanhuan, Zhao Jiadong, Zhi Yanfeng, Shi Lubing, Zhao Yukai, Yue Zihao
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2024-06-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.06.019
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author Lei Huanhuan
Zhao Jiadong
Zhi Yanfeng
Shi Lubing
Zhao Yukai
Yue Zihao
author_facet Lei Huanhuan
Zhao Jiadong
Zhi Yanfeng
Shi Lubing
Zhao Yukai
Yue Zihao
author_sort Lei Huanhuan
collection DOAJ
description In order to investigate the influence of the error of center distance between the driving pinion and rack track meshing and the error of axis non-parallelism on the contact stress distribution during the curved driving of rack-rail trains, an analytical model of rack and pinion contact stresses is established based on the finite-length line contact theory by considering the two kinds of errors comprehensively. Comparison with the finite element simulation of rack and pinion contact under error conditions shows that the established model has good computational accuracy. Based on the model, the contact stress response under different error levels and the combined two types of errors are investigated, the effects of the two types of errors on the contact stress distribution are revealed, and countermeasures are proposed accordingly. The results show that the proposed contact stress analysis model can accurately respond to the contact condition of the rack and pinion under the combined effect of the meshing center distance error and the axial non-parallelism error. The contact stress level increases with the increase of the meshing center distance error. The degree of axial non-uniformity of contact stresses increases with the increase of axis non-parallelism error. The meshing center distance error enhances the axial contact stress inhomogeneity caused by the axial non-parallelism error, and the axial non-parallelism error has a slight inhibitory effect on the effect of the meshing center distance error. The intrinsic mechanism of the meshing center distance error is the reduction of the load carrying area at the same load level, and the intrinsic mechanism of the axial non-parallelism error is the greater deformation produced by the rack and pinion taking the lead in contact on the inside of the curve. Root gouging of the pinion eliminates the effect of axial non-parallelism error, and helix modification of the pinion reduces the effect of axial non-parallelism error.
format Article
id doaj-art-18460e2f8469490b8828102838eeb621
institution Kabale University
issn 1004-2539
language zho
publishDate 2024-06-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-18460e2f8469490b8828102838eeb6212025-01-10T15:00:52ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392024-06-014812413262029017Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact TheoryLei HuanhuanZhao JiadongZhi YanfengShi LubingZhao YukaiYue ZihaoIn order to investigate the influence of the error of center distance between the driving pinion and rack track meshing and the error of axis non-parallelism on the contact stress distribution during the curved driving of rack-rail trains, an analytical model of rack and pinion contact stresses is established based on the finite-length line contact theory by considering the two kinds of errors comprehensively. Comparison with the finite element simulation of rack and pinion contact under error conditions shows that the established model has good computational accuracy. Based on the model, the contact stress response under different error levels and the combined two types of errors are investigated, the effects of the two types of errors on the contact stress distribution are revealed, and countermeasures are proposed accordingly. The results show that the proposed contact stress analysis model can accurately respond to the contact condition of the rack and pinion under the combined effect of the meshing center distance error and the axial non-parallelism error. The contact stress level increases with the increase of the meshing center distance error. The degree of axial non-uniformity of contact stresses increases with the increase of axis non-parallelism error. The meshing center distance error enhances the axial contact stress inhomogeneity caused by the axial non-parallelism error, and the axial non-parallelism error has a slight inhibitory effect on the effect of the meshing center distance error. The intrinsic mechanism of the meshing center distance error is the reduction of the load carrying area at the same load level, and the intrinsic mechanism of the axial non-parallelism error is the greater deformation produced by the rack and pinion taking the lead in contact on the inside of the curve. Root gouging of the pinion eliminates the effect of axial non-parallelism error, and helix modification of the pinion reduces the effect of axial non-parallelism error.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.06.019Rack-rail trainThe finite-length line contact theoryRack and pinionMeshing center distance errorAxis non-parallelism errorTooth profile optimization
spellingShingle Lei Huanhuan
Zhao Jiadong
Zhi Yanfeng
Shi Lubing
Zhao Yukai
Yue Zihao
Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
Jixie chuandong
Rack-rail train
The finite-length line contact theory
Rack and pinion
Meshing center distance error
Axis non-parallelism error
Tooth profile optimization
title Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
title_full Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
title_fullStr Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
title_full_unstemmed Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
title_short Contact Analysis and Tooth Profile Optimization Design of Rack and Pinion for Rack-rail Trains Based on the Finite-length Line Contact Theory
title_sort contact analysis and tooth profile optimization design of rack and pinion for rack rail trains based on the finite length line contact theory
topic Rack-rail train
The finite-length line contact theory
Rack and pinion
Meshing center distance error
Axis non-parallelism error
Tooth profile optimization
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.06.019
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