Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods
In dynamic model of planetary gears, one of the key design parameters and one of the main sources of vibration is time–varying mesh stiffness of meshing gears. According to previous researches, the finite element method and analytical method are two techniques to estimate the mesh stiffness of meshi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Islamic Azad University-Isfahan (Khorasgan) Branch
2022-03-01
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| Series: | International Journal of Advanced Design and Manufacturing Technology |
| Subjects: | |
| Online Access: | https://admt.isfahan.iau.ir/article_687312_41914e9e0af542cfd65ba2a9a21d9b5f.pdf |
| _version_ | 1797657340223160320 |
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| author | Ali Shahabi Amir Hosein Kazemian |
| author_facet | Ali Shahabi Amir Hosein Kazemian |
| author_sort | Ali Shahabi |
| collection | DOAJ |
| description | In dynamic model of planetary gears, one of the key design parameters and one of the main sources of vibration is time–varying mesh stiffness of meshing gears. According to previous researches, the finite element method and analytical method are two techniques to estimate the mesh stiffness of meshing gears. In this work, in an innovation the periodically time–varying mesh stiffness of meshing gears is examined by both of finite element and analytical methods. The planetary gear set is modeled as a set of lumped masses and springs. Each element such as sun gear, carrier, ring gear and planets possesses three degrees of freedom and is considered as rigid body. The influence of effective parameters on the mesh stiffness of meshing gears and also numerical results of natural frequencies and vibration modes of the system are obtained. Based on the results, the influence of the higher pressure angles on the mesh stiffness of meshing gears is perceptible. By using the proposed mesh stiffness of meshing gears, for the system with numbers of odd and even equally and unequally spaced planets, natural frequencies and vibration modes are validated with a high accuracy. |
| first_indexed | 2024-03-11T17:43:02Z |
| format | Article |
| id | doaj.art-98f0bb03b58242078350509c112cd979 |
| institution | Directory Open Access Journal |
| issn | 2252-0406 2383-4447 |
| language | English |
| last_indexed | 2024-03-11T17:43:02Z |
| publishDate | 2022-03-01 |
| publisher | Islamic Azad University-Isfahan (Khorasgan) Branch |
| record_format | Article |
| series | International Journal of Advanced Design and Manufacturing Technology |
| spelling | doaj.art-98f0bb03b58242078350509c112cd9792023-10-18T08:46:16ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472022-03-0115115716610.30486/admt.2021.1906469.1210687312Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element MethodsAli Shahabi0Amir Hosein Kazemian1Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran Nedayedanesh Institute of Higher Education of Hormozgan, Bandar Abbas, IranDepartment of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, IranIn dynamic model of planetary gears, one of the key design parameters and one of the main sources of vibration is time–varying mesh stiffness of meshing gears. According to previous researches, the finite element method and analytical method are two techniques to estimate the mesh stiffness of meshing gears. In this work, in an innovation the periodically time–varying mesh stiffness of meshing gears is examined by both of finite element and analytical methods. The planetary gear set is modeled as a set of lumped masses and springs. Each element such as sun gear, carrier, ring gear and planets possesses three degrees of freedom and is considered as rigid body. The influence of effective parameters on the mesh stiffness of meshing gears and also numerical results of natural frequencies and vibration modes of the system are obtained. Based on the results, the influence of the higher pressure angles on the mesh stiffness of meshing gears is perceptible. By using the proposed mesh stiffness of meshing gears, for the system with numbers of odd and even equally and unequally spaced planets, natural frequencies and vibration modes are validated with a high accuracy.https://admt.isfahan.iau.ir/article_687312_41914e9e0af542cfd65ba2a9a21d9b5f.pdfpressure anglemeshing gearsvibration modenatural frequency |
| spellingShingle | Ali Shahabi Amir Hosein Kazemian Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods International Journal of Advanced Design and Manufacturing Technology pressure angle meshing gears vibration mode natural frequency |
| title | Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods |
| title_full | Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods |
| title_fullStr | Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods |
| title_full_unstemmed | Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods |
| title_short | Analysis of Time–Varying Mesh Stiffness for the Planetary Gear System with Analytical and Finite Element Methods |
| title_sort | analysis of time varying mesh stiffness for the planetary gear system with analytical and finite element methods |
| topic | pressure angle meshing gears vibration mode natural frequency |
| url | https://admt.isfahan.iau.ir/article_687312_41914e9e0af542cfd65ba2a9a21d9b5f.pdf |
| work_keys_str_mv | AT alishahabi analysisoftimevaryingmeshstiffnessfortheplanetarygearsystemwithanalyticalandfiniteelementmethods AT amirhoseinkazemian analysisoftimevaryingmeshstiffnessfortheplanetarygearsystemwithanalyticalandfiniteelementmethods |