Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling

Aiming at the problems of insufficient modeling accuracy and low efficiency of design verification and calculation in the current parametric design and development of internal gears, a parametric design system of internal gears based on accurate tooth profile modeling is developed by using Matlab GU...

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Main Authors: Cao Dongjiang, Shang Peng, Cui Hongtao, Xi Wenyu
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2023-09-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.09.010
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author Cao Dongjiang
Shang Peng
Cui Hongtao
Xi Wenyu
author_facet Cao Dongjiang
Shang Peng
Cui Hongtao
Xi Wenyu
author_sort Cao Dongjiang
collection DOAJ
description Aiming at the problems of insufficient modeling accuracy and low efficiency of design verification and calculation in the current parametric design and development of internal gears, a parametric design system of internal gears based on accurate tooth profile modeling is developed by using Matlab GUI. According to the principle of gear generating machining theory, the involute tooth profile of internal gears is generated. The tooth profile-normal method is used to establish the tooth root transition curve equation of internal gears, realizing the accurate modeling of the whole tooth of internal gears, and the pressure angles <italic>α<sub>M</sub></italic> and <italic>α<sub>N</sub></italic> at the transition point of the internal gear profile are calculated. The geometric calculation and interference verification of the design parameters of internal gear pairs are completed through the parametric design program. In the transition curve interference verification part, using the pressure angles <italic>α<sub>M</sub></italic> and <italic>α<sub>N</sub></italic> of the tooth profile transition point, the verification formula of the transition curve interference of the internal gear pair is calculated under the condition of any size tooth top fillet (or unspecified fillet) of the cutter. Finally, the whole tooth profile data of the designed target gear pairs is imported into the Catia interface, and the three-dimensional solid model of the gear pairs is established, which lays a foundation for the subsequent research on the stress analysis and dynamic performance detection of the gear system.
format Article
id doaj-art-275844978a084b86b89cb0f41203cc3a
institution Kabale University
issn 1004-2539
language zho
publishDate 2023-09-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-275844978a084b86b89cb0f41203cc3a2025-01-10T14:58:53ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392023-09-0147667340701664Parametric Design of Internal Gears Based on Accurate Tooth Profile ModelingCao DongjiangShang PengCui HongtaoXi WenyuAiming at the problems of insufficient modeling accuracy and low efficiency of design verification and calculation in the current parametric design and development of internal gears, a parametric design system of internal gears based on accurate tooth profile modeling is developed by using Matlab GUI. According to the principle of gear generating machining theory, the involute tooth profile of internal gears is generated. The tooth profile-normal method is used to establish the tooth root transition curve equation of internal gears, realizing the accurate modeling of the whole tooth of internal gears, and the pressure angles <italic>α<sub>M</sub></italic> and <italic>α<sub>N</sub></italic> at the transition point of the internal gear profile are calculated. The geometric calculation and interference verification of the design parameters of internal gear pairs are completed through the parametric design program. In the transition curve interference verification part, using the pressure angles <italic>α<sub>M</sub></italic> and <italic>α<sub>N</sub></italic> of the tooth profile transition point, the verification formula of the transition curve interference of the internal gear pair is calculated under the condition of any size tooth top fillet (or unspecified fillet) of the cutter. Finally, the whole tooth profile data of the designed target gear pairs is imported into the Catia interface, and the three-dimensional solid model of the gear pairs is established, which lays a foundation for the subsequent research on the stress analysis and dynamic performance detection of the gear system.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.09.010Internal gearParametric designAccurate tooth profile modelingTooth root transition curveTransition curve interferenceTooth profile transition point
spellingShingle Cao Dongjiang
Shang Peng
Cui Hongtao
Xi Wenyu
Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
Jixie chuandong
Internal gear
Parametric design
Accurate tooth profile modeling
Tooth root transition curve
Transition curve interference
Tooth profile transition point
title Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
title_full Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
title_fullStr Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
title_full_unstemmed Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
title_short Parametric Design of Internal Gears Based on Accurate Tooth Profile Modeling
title_sort parametric design of internal gears based on accurate tooth profile modeling
topic Internal gear
Parametric design
Accurate tooth profile modeling
Tooth root transition curve
Transition curve interference
Tooth profile transition point
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.09.010
work_keys_str_mv AT caodongjiang parametricdesignofinternalgearsbasedonaccuratetoothprofilemodeling
AT shangpeng parametricdesignofinternalgearsbasedonaccuratetoothprofilemodeling
AT cuihongtao parametricdesignofinternalgearsbasedonaccuratetoothprofilemodeling
AT xiwenyu parametricdesignofinternalgearsbasedonaccuratetoothprofilemodeling