A flexible topological flank modification method based on polynomial interpolation function
Topological modification of gear surface is used to achieve better meshing transmission performance and accuracy. However, in the traditional gear modification grinding process, the topological modified tooth surface is usually simplified to the control of profile modification and lead modification,...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2023-06-01
|
| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/17/3/17_2023jamdsm0041/_pdf/-char/en |
| _version_ | 1797755904381157376 |
|---|---|
| author | Yiguo LU Xiaoqing TIAN Hong JIANG Tongfei YOU Jiang HAN Lian XIA |
| author_facet | Yiguo LU Xiaoqing TIAN Hong JIANG Tongfei YOU Jiang HAN Lian XIA |
| author_sort | Yiguo LU |
| collection | DOAJ |
| description | Topological modification of gear surface is used to achieve better meshing transmission performance and accuracy. However, in the traditional gear modification grinding process, the topological modified tooth surface is usually simplified to the control of profile modification and lead modification, which is difficult to achieve the coincidence of machining and design. To solve this problem, a flexible topology flank modification method based on polynomial interpolation function is proposed in this paper. Based on the gear meshing principle and polynomial interpolation technology, the method realizes a topological modification of the gear by controlling multiple axes’s position on the machine tool. Firstly, a gear grinding model of worm grinding wheel with controllable grinding precision is established. Then the axial, radial and tangential motions of worm grinding wheel is expressed as fifth order polynomials, and the polynomial coefficients is optimized by particle swarm optimization algorithm. Finally, numerical simulation was used to compare the proposed method with the sensitivity matrix method, and the results showed that the proposed method had better optimization effect. The new flexible topological modification method can realize the topological modification machining by controlling the motion of each axis of the tool, and the problem that the topological modification machining does not match the design is solved. |
| first_indexed | 2024-03-12T17:52:54Z |
| format | Article |
| id | doaj.art-bf76630ab93e400dad1b5963cb1419e3 |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-03-12T17:52:54Z |
| publishDate | 2023-06-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-bf76630ab93e400dad1b5963cb1419e32023-08-03T00:04:49ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542023-06-01173JAMDSM0041JAMDSM004110.1299/jamdsm.2023jamdsm0041jamdsmA flexible topological flank modification method based on polynomial interpolation functionYiguo LU0Xiaoqing TIAN1Hong JIANG2Tongfei YOU3Jiang HAN4Lian XIA5School of Mechanical Engineering, Hefei University of TechnologySchool of Mechanical Engineering, Hefei University of TechnologySchool of Mechanical Engineering, Hefei University of TechnologySchool of Mechanical Engineering, Hefei University of TechnologySchool of Mechanical Engineering, Hefei University of TechnologySchool of Mechanical Engineering, Hefei University of TechnologyTopological modification of gear surface is used to achieve better meshing transmission performance and accuracy. However, in the traditional gear modification grinding process, the topological modified tooth surface is usually simplified to the control of profile modification and lead modification, which is difficult to achieve the coincidence of machining and design. To solve this problem, a flexible topology flank modification method based on polynomial interpolation function is proposed in this paper. Based on the gear meshing principle and polynomial interpolation technology, the method realizes a topological modification of the gear by controlling multiple axes’s position on the machine tool. Firstly, a gear grinding model of worm grinding wheel with controllable grinding precision is established. Then the axial, radial and tangential motions of worm grinding wheel is expressed as fifth order polynomials, and the polynomial coefficients is optimized by particle swarm optimization algorithm. Finally, numerical simulation was used to compare the proposed method with the sensitivity matrix method, and the results showed that the proposed method had better optimization effect. The new flexible topological modification method can realize the topological modification machining by controlling the motion of each axis of the tool, and the problem that the topological modification machining does not match the design is solved.https://www.jstage.jst.go.jp/article/jamdsm/17/3/17_2023jamdsm0041/_pdf/-char/engear grindingtopological modificationcontact linehigher order polynomialparticle swarm optimization |
| spellingShingle | Yiguo LU Xiaoqing TIAN Hong JIANG Tongfei YOU Jiang HAN Lian XIA A flexible topological flank modification method based on polynomial interpolation function Journal of Advanced Mechanical Design, Systems, and Manufacturing gear grinding topological modification contact line higher order polynomial particle swarm optimization |
| title | A flexible topological flank modification method based on polynomial interpolation function |
| title_full | A flexible topological flank modification method based on polynomial interpolation function |
| title_fullStr | A flexible topological flank modification method based on polynomial interpolation function |
| title_full_unstemmed | A flexible topological flank modification method based on polynomial interpolation function |
| title_short | A flexible topological flank modification method based on polynomial interpolation function |
| title_sort | flexible topological flank modification method based on polynomial interpolation function |
| topic | gear grinding topological modification contact line higher order polynomial particle swarm optimization |
| url | https://www.jstage.jst.go.jp/article/jamdsm/17/3/17_2023jamdsm0041/_pdf/-char/en |
| work_keys_str_mv | AT yiguolu aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT xiaoqingtian aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT hongjiang aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT tongfeiyou aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT jianghan aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT lianxia aflexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT yiguolu flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT xiaoqingtian flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT hongjiang flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT tongfeiyou flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT jianghan flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction AT lianxia flexibletopologicalflankmodificationmethodbasedonpolynomialinterpolationfunction |