Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair
In order to solve the problem that the design constraints of the conjugated straight-line internal gear pair are unclear, the designing and checking of gear pairs requires repeated trial and error. By analogy with the design of the involute gear pair, the basic design parameters of the conjugated st...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Machines |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1702/11/3/412 |
| _version_ | 1827748942357463040 |
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| author | Yundong Liang Zongbin Chen Yantao Zhang Jian Liao |
| author_facet | Yundong Liang Zongbin Chen Yantao Zhang Jian Liao |
| author_sort | Yundong Liang |
| collection | DOAJ |
| description | In order to solve the problem that the design constraints of the conjugated straight-line internal gear pair are unclear, the designing and checking of gear pairs requires repeated trial and error. By analogy with the design of the involute gear pair, the basic design parameters of the conjugated straight-line internal gear pair were clarified. Based on the mathematical model of the gear pair, the constraints on basic design parameters were given according to gear engagement theory and the geometrical relations of the tooth profile. The calculation formula and the constraint of the contact ratio were deduced according to the kinematic relations. Based on Litvin’s undercutting theory, the constraints on avoiding undercutting and end cutting were deduced and their correctness was verified by examples. The judgment method of tooth-overlapping interference and its corresponding numerical calculation flow were presented. The constraint on avoiding radial interference was deduced and analyzed. Based on the above content, the influence laws of design parameters on the design constraints were studied. Last, design examples were given and the effective design flow diagram of the conjugated straight-line internal gear pair was summarized. These research results provide a theoretical basis for the parameter design of conjugated straight-line internal gear pairs, provide guidance to avoid the interference of the gear pair, and promote the design system of the gear pair. |
| first_indexed | 2024-03-11T06:15:58Z |
| format | Article |
| id | doaj.art-21d8a1d9b1ca420dac9d16e447cdcd03 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T06:15:58Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-21d8a1d9b1ca420dac9d16e447cdcd032023-11-17T12:16:09ZengMDPI AGMachines2075-17022023-03-0111341210.3390/machines11030412Study on Design Constraints of Conjugated Straight-Line Internal Gear PairYundong Liang0Zongbin Chen1Yantao Zhang2Jian Liao3Institute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, ChinaInstitute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, ChinaInstitute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, ChinaInstitute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, ChinaIn order to solve the problem that the design constraints of the conjugated straight-line internal gear pair are unclear, the designing and checking of gear pairs requires repeated trial and error. By analogy with the design of the involute gear pair, the basic design parameters of the conjugated straight-line internal gear pair were clarified. Based on the mathematical model of the gear pair, the constraints on basic design parameters were given according to gear engagement theory and the geometrical relations of the tooth profile. The calculation formula and the constraint of the contact ratio were deduced according to the kinematic relations. Based on Litvin’s undercutting theory, the constraints on avoiding undercutting and end cutting were deduced and their correctness was verified by examples. The judgment method of tooth-overlapping interference and its corresponding numerical calculation flow were presented. The constraint on avoiding radial interference was deduced and analyzed. Based on the above content, the influence laws of design parameters on the design constraints were studied. Last, design examples were given and the effective design flow diagram of the conjugated straight-line internal gear pair was summarized. These research results provide a theoretical basis for the parameter design of conjugated straight-line internal gear pairs, provide guidance to avoid the interference of the gear pair, and promote the design system of the gear pair.https://www.mdpi.com/2075-1702/11/3/412conjugated straight-line internal gear pairdesign constraintsinterference |
| spellingShingle | Yundong Liang Zongbin Chen Yantao Zhang Jian Liao Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair Machines conjugated straight-line internal gear pair design constraints interference |
| title | Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair |
| title_full | Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair |
| title_fullStr | Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair |
| title_full_unstemmed | Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair |
| title_short | Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair |
| title_sort | study on design constraints of conjugated straight line internal gear pair |
| topic | conjugated straight-line internal gear pair design constraints interference |
| url | https://www.mdpi.com/2075-1702/11/3/412 |
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