Meshing analysis of a gear with a ring-involute gear

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The surface of a gear with ring-involute teeth generated by a rack cutter with ring-involute teeth is a new type of gear. This paper describes a method developed from gear theory for deriving a pinion and a gear with ring-involute teeth. A gear with ring-involute teeth is regarded as an envelope to the family of rack cutter surfaces when the pinion and gear rotate for a cycle. Using a developed mathematical model, the investigation on the undercutting analysis of the proposed gear is studied. Here the kinematic errors are investigated according to the obtained geometric modelling of the designed gear meshing when assembly errors were present. Stress analysis for the proposed gear was performed. Finally, a numerical example is presented to demonstrate the geometric model of a gear with ring-involute teeth and a gear ratio of 3:2.

Original languageEnglish
Pages (from-to)1287-1300
Number of pages14
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume217
Issue number12
DOIs
Publication statusPublished - 2003 Dec 1

Fingerprint

Gears
Gear teeth
Stress analysis
Kinematics
Mathematical models

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{3048f3d0e9f84ef295d9d3dba5cfc351,
title = "Meshing analysis of a gear with a ring-involute gear",
abstract = "The surface of a gear with ring-involute teeth generated by a rack cutter with ring-involute teeth is a new type of gear. This paper describes a method developed from gear theory for deriving a pinion and a gear with ring-involute teeth. A gear with ring-involute teeth is regarded as an envelope to the family of rack cutter surfaces when the pinion and gear rotate for a cycle. Using a developed mathematical model, the investigation on the undercutting analysis of the proposed gear is studied. Here the kinematic errors are investigated according to the obtained geometric modelling of the designed gear meshing when assembly errors were present. Stress analysis for the proposed gear was performed. Finally, a numerical example is presented to demonstrate the geometric model of a gear with ring-involute teeth and a gear ratio of 3:2.",
author = "Yang, {S. C.}",
year = "2003",
month = "12",
day = "1",
doi = "10.1243/095440603322769938",
language = "English",
volume = "217",
pages = "1287--1300",
journal = "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science",
issn = "0954-4062",
publisher = "SAGE Publications Ltd",
number = "12",

}

TY - JOUR

T1 - Meshing analysis of a gear with a ring-involute gear

AU - Yang, S. C.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - The surface of a gear with ring-involute teeth generated by a rack cutter with ring-involute teeth is a new type of gear. This paper describes a method developed from gear theory for deriving a pinion and a gear with ring-involute teeth. A gear with ring-involute teeth is regarded as an envelope to the family of rack cutter surfaces when the pinion and gear rotate for a cycle. Using a developed mathematical model, the investigation on the undercutting analysis of the proposed gear is studied. Here the kinematic errors are investigated according to the obtained geometric modelling of the designed gear meshing when assembly errors were present. Stress analysis for the proposed gear was performed. Finally, a numerical example is presented to demonstrate the geometric model of a gear with ring-involute teeth and a gear ratio of 3:2.

AB - The surface of a gear with ring-involute teeth generated by a rack cutter with ring-involute teeth is a new type of gear. This paper describes a method developed from gear theory for deriving a pinion and a gear with ring-involute teeth. A gear with ring-involute teeth is regarded as an envelope to the family of rack cutter surfaces when the pinion and gear rotate for a cycle. Using a developed mathematical model, the investigation on the undercutting analysis of the proposed gear is studied. Here the kinematic errors are investigated according to the obtained geometric modelling of the designed gear meshing when assembly errors were present. Stress analysis for the proposed gear was performed. Finally, a numerical example is presented to demonstrate the geometric model of a gear with ring-involute teeth and a gear ratio of 3:2.

UR - http://www.scopus.com/inward/record.url?scp=0347300497&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347300497&partnerID=8YFLogxK

U2 - 10.1243/095440603322769938

DO - 10.1243/095440603322769938

M3 - Article

AN - SCOPUS:0347300497

VL - 217

SP - 1287

EP - 1300

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 12

ER -