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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Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2023-09-01
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Series: | Jixie chuandong |
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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 |