Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles
Advancements in manufacturing technology provide users with new opportunities for the design of gears. Special gearings with customized non-involute tooth profile geometries offer a promising alternative to conventional involute gears, addressing limitations, such as undercutting and small radii of...
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| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/13/1/22 |
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| author | Karsten Fetzer Stefan Landler Jonas-Frederick Berger Michael Otto Karsten Stahl |
| author_facet | Karsten Fetzer Stefan Landler Jonas-Frederick Berger Michael Otto Karsten Stahl |
| author_sort | Karsten Fetzer |
| collection | DOAJ |
| description | Advancements in manufacturing technology provide users with new opportunities for the design of gears. Special gearings with customized non-involute tooth profile geometries offer a promising alternative to conventional involute gears, addressing limitations, such as undercutting and small radii of curvature near the tooth root. However, the absence of standardized design procedures for non-involute gears, such as ISO 6336 for involute gears, often necessitates reliance on numerical simulations and methodologies using approximations. Analytical methods for determining key parameters—such as the topological load distribution and contact pressures—are currently specialized for involute gears and can hardly be directly applied to special gears. This paper proposes a generalization of the analytical static load distribution calculation for non-involute tooth profiles. A relationship between the applied torque and the transmission error at every meshing position is derived. This approach is validated using the calculation software RIKOR with two exemplary involute gearings, demonstrating consistency with the established method. Additionally, the proposed framework is applied to an exemplary cycloid gear and an eccentric cycloid gear to demonstrate the capability to analyze arbitrary tooth profile geometries. The results highlight the potential for the reliable and efficient design of non-involute gears through analytical methods. |
| format | Article |
| id | doaj-art-32a7590986c1472e8ff7474387455062 |
| institution | Kabale University |
| issn | 2075-1702 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj-art-32a7590986c1472e8ff74743874550622025-01-24T13:39:10ZengMDPI AGMachines2075-17022024-12-011312210.3390/machines13010022Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth ProfilesKarsten Fetzer0Stefan Landler1Jonas-Frederick Berger2Michael Otto3Karsten Stahl4Gear Research Center (FZG), TUM School of Engineering and Design, Technical University of Munich, Boltzmannstraße 15, D-85748 Garching, GermanyGear Research Center (FZG), TUM School of Engineering and Design, Technical University of Munich, Boltzmannstraße 15, D-85748 Garching, GermanyGear Research Center (FZG), TUM School of Engineering and Design, Technical University of Munich, Boltzmannstraße 15, D-85748 Garching, GermanyGear Research Center (FZG), TUM School of Engineering and Design, Technical University of Munich, Boltzmannstraße 15, D-85748 Garching, GermanyGear Research Center (FZG), TUM School of Engineering and Design, Technical University of Munich, Boltzmannstraße 15, D-85748 Garching, GermanyAdvancements in manufacturing technology provide users with new opportunities for the design of gears. Special gearings with customized non-involute tooth profile geometries offer a promising alternative to conventional involute gears, addressing limitations, such as undercutting and small radii of curvature near the tooth root. However, the absence of standardized design procedures for non-involute gears, such as ISO 6336 for involute gears, often necessitates reliance on numerical simulations and methodologies using approximations. Analytical methods for determining key parameters—such as the topological load distribution and contact pressures—are currently specialized for involute gears and can hardly be directly applied to special gears. This paper proposes a generalization of the analytical static load distribution calculation for non-involute tooth profiles. A relationship between the applied torque and the transmission error at every meshing position is derived. This approach is validated using the calculation software RIKOR with two exemplary involute gearings, demonstrating consistency with the established method. Additionally, the proposed framework is applied to an exemplary cycloid gear and an eccentric cycloid gear to demonstrate the capability to analyze arbitrary tooth profile geometries. The results highlight the potential for the reliable and efficient design of non-involute gears through analytical methods.https://www.mdpi.com/2075-1702/13/1/22load distribution calculationnon-involute gearingscycloid gearseccentric cycloid gearsEC gearing |
| spellingShingle | Karsten Fetzer Stefan Landler Jonas-Frederick Berger Michael Otto Karsten Stahl Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles Machines load distribution calculation non-involute gearings cycloid gears eccentric cycloid gears EC gearing |
| title | Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles |
| title_full | Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles |
| title_fullStr | Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles |
| title_full_unstemmed | Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles |
| title_short | Fast Load Distribution Calculation for Cylindrical Gears with Non-Involute Tooth Profiles |
| title_sort | fast load distribution calculation for cylindrical gears with non involute tooth profiles |
| topic | load distribution calculation non-involute gearings cycloid gears eccentric cycloid gears EC gearing |
| url | https://www.mdpi.com/2075-1702/13/1/22 |
| work_keys_str_mv | AT karstenfetzer fastloaddistributioncalculationforcylindricalgearswithnoninvolutetoothprofiles AT stefanlandler fastloaddistributioncalculationforcylindricalgearswithnoninvolutetoothprofiles AT jonasfrederickberger fastloaddistributioncalculationforcylindricalgearswithnoninvolutetoothprofiles AT michaelotto fastloaddistributioncalculationforcylindricalgearswithnoninvolutetoothprofiles AT karstenstahl fastloaddistributioncalculationforcylindricalgearswithnoninvolutetoothprofiles |