Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions

Shuangshuang Si; Haiwei Wang; Lulu Li; Geng Liu

doi:10.1007/978-981-16-7381-8_42

Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions

Shuangshuang Si, Haiwei Wang, Lulu Li, Geng Liu

School of Mechanical Engineering

Northwestern Polytechnical University Xian

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper has taken the trochoidal roller pinion rack transmission as the research object. Firstly, the influencing factors of tooth shape are fitted and the influencing laws are obtained by analyzing the operation results; Secondly, based on the trochoidal tooth profile equations, the curvature and curvature radius equations are derived, the factors influencing the variation of radius of curvature and their influencing rules are obtained, then the root-cutting characteristics are analyzed; Finally, the influencing factors for the meshing characteristics of pressure angle and contact ratio are systematically analyzed by MATLAB. The results show that improving the transmission efficiency can be attained by increasing the number of rollers and reducing the rack profile offset coefficient appropriately; Increasing contact ratio can be achieved by increasing the roller numbers, roller diameter coefficient, addendum height coefficient and reducing tooth profile offset coefficient.

Original language	English
Title of host publication	Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021
Editors	Jianrong Tan
Publisher	Springer Science and Business Media B.V.
Pages	645-663
Number of pages	19
ISBN (Print)	9789811673801
DOIs	https://doi.org/10.1007/978-981-16-7381-8_42
State	Published - 2022
Event	International Conference on Mechanical Design, ICMD 2021 - Changsha, China Duration: 11 Aug 2021 → 13 Aug 2021

Publication series

Name	Mechanisms and Machine Science
Volume	111
ISSN (Print)	2211-0984
ISSN (Electronic)	2211-0992

Conference

Conference	International Conference on Mechanical Design, ICMD 2021
Country/Territory	China
City	Changsha
Period	11/08/21 → 13/08/21

Keywords

Meshing characteristics
Tooth profile
Trochoidal roller pinion rack

Access to Document

10.1007/978-981-16-7381-8_42

Cite this

Si, S., Wang, H., Li, L., & Liu, G. (2022). Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions. In J. Tan (Ed.), Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021 (pp. 645-663). (Mechanisms and Machine Science; Vol. 111). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-981-16-7381-8_42

Si, Shuangshuang ; Wang, Haiwei ; Li, Lulu et al. / Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions. Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. editor / Jianrong Tan. Springer Science and Business Media B.V., 2022. pp. 645-663 (Mechanisms and Machine Science).

@inproceedings{93607b15d04040e0a8884108f3ee163e,

title = "Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions",

abstract = "This paper has taken the trochoidal roller pinion rack transmission as the research object. Firstly, the influencing factors of tooth shape are fitted and the influencing laws are obtained by analyzing the operation results; Secondly, based on the trochoidal tooth profile equations, the curvature and curvature radius equations are derived, the factors influencing the variation of radius of curvature and their influencing rules are obtained, then the root-cutting characteristics are analyzed; Finally, the influencing factors for the meshing characteristics of pressure angle and contact ratio are systematically analyzed by MATLAB. The results show that improving the transmission efficiency can be attained by increasing the number of rollers and reducing the rack profile offset coefficient appropriately; Increasing contact ratio can be achieved by increasing the roller numbers, roller diameter coefficient, addendum height coefficient and reducing tooth profile offset coefficient.",

keywords = "Meshing characteristics, Tooth profile, Trochoidal roller pinion rack",

author = "Shuangshuang Si and Haiwei Wang and Lulu Li and Geng Liu",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; International Conference on Mechanical Design, ICMD 2021 ; Conference date: 11-08-2021 Through 13-08-2021",

year = "2022",

doi = "10.1007/978-981-16-7381-8_42",

language = "英语",

isbn = "9789811673801",

series = "Mechanisms and Machine Science",

publisher = "Springer Science and Business Media B.V.",

pages = "645--663",

editor = "Jianrong Tan",

booktitle = "Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021",

}

Si, S, Wang, H, Li, L & Liu, G 2022, Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions. in J Tan (ed.), Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. Mechanisms and Machine Science, vol. 111, Springer Science and Business Media B.V., pp. 645-663, International Conference on Mechanical Design, ICMD 2021, Changsha, China, 11/08/21. https://doi.org/10.1007/978-981-16-7381-8_42

Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions. / Si, Shuangshuang; Wang, Haiwei; Li, Lulu et al.
Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. ed. / Jianrong Tan. Springer Science and Business Media B.V., 2022. p. 645-663 (Mechanisms and Machine Science; Vol. 111).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions

AU - Si, Shuangshuang

AU - Wang, Haiwei

AU - Li, Lulu

AU - Liu, Geng

PY - 2022

Y1 - 2022

N2 - This paper has taken the trochoidal roller pinion rack transmission as the research object. Firstly, the influencing factors of tooth shape are fitted and the influencing laws are obtained by analyzing the operation results; Secondly, based on the trochoidal tooth profile equations, the curvature and curvature radius equations are derived, the factors influencing the variation of radius of curvature and their influencing rules are obtained, then the root-cutting characteristics are analyzed; Finally, the influencing factors for the meshing characteristics of pressure angle and contact ratio are systematically analyzed by MATLAB. The results show that improving the transmission efficiency can be attained by increasing the number of rollers and reducing the rack profile offset coefficient appropriately; Increasing contact ratio can be achieved by increasing the roller numbers, roller diameter coefficient, addendum height coefficient and reducing tooth profile offset coefficient.

AB - This paper has taken the trochoidal roller pinion rack transmission as the research object. Firstly, the influencing factors of tooth shape are fitted and the influencing laws are obtained by analyzing the operation results; Secondly, based on the trochoidal tooth profile equations, the curvature and curvature radius equations are derived, the factors influencing the variation of radius of curvature and their influencing rules are obtained, then the root-cutting characteristics are analyzed; Finally, the influencing factors for the meshing characteristics of pressure angle and contact ratio are systematically analyzed by MATLAB. The results show that improving the transmission efficiency can be attained by increasing the number of rollers and reducing the rack profile offset coefficient appropriately; Increasing contact ratio can be achieved by increasing the roller numbers, roller diameter coefficient, addendum height coefficient and reducing tooth profile offset coefficient.

KW - Meshing characteristics

KW - Tooth profile

KW - Trochoidal roller pinion rack

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DO - 10.1007/978-981-16-7381-8_42

M3 - 会议稿件

AN - SCOPUS:85127926721

SN - 9789811673801

T3 - Mechanisms and Machine Science

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EP - 663

BT - Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021

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PB - Springer Science and Business Media B.V.

T2 - International Conference on Mechanical Design, ICMD 2021

Y2 - 11 August 2021 through 13 August 2021

ER -

Si S, Wang H, Li L, Liu G. Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions. In Tan J, editor, Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. Springer Science and Business Media B.V. 2022. p. 645-663. (Mechanisms and Machine Science). doi: 10.1007/978-981-16-7381-8_42

Analysis of Tooth Profile Influencing Factors and Meshing Characteristics for Trochoidal Roller Pinion Rack Transmissions

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