The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors
This article presents a dynamic model of three shafts and two pair of gears in mesh, with 26 degrees of freedom, including the effects of variable tooth stiffness, pitch and profile errors, friction, and a localized tooth crack on one of the gears. The article also details howgeometrical errors in t...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Rotating Machinery |
| Online Access: | http://dx.doi.org/10.1155/S1023621X03000423 |
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| author | Shengxiang Jia Ian Howard Jiande Wang |
| author_facet | Shengxiang Jia Ian Howard Jiande Wang |
| author_sort | Shengxiang Jia |
| collection | DOAJ |
| description | This article presents a dynamic model of three shafts and two pair of gears in mesh, with 26 degrees of freedom, including the effects of variable tooth stiffness, pitch and profile errors, friction, and a localized tooth crack on one of the gears. The article also details howgeometrical errors in teeth can be included in a model. The model incorporates the effects of variations in torsional mesh stiffness in gear teeth by using a common formula to describe stiffness that occurs as the gears mesh together. The comparison between the presence and absence of geometrical errors in teeth was made by using Matlab and Simulink models, which were developed from the equations of motion. The effects of pitch and profile errors on the resultant input pinion angular velocity coherent-signal of the input pinion's average are discussed by investigating some of the common diagnostic functions and changes to the frequency spectra results. |
| format | Article |
| id | doaj-art-33c5081a69e9489c8f1e3f9454b4addb |
| institution | Kabale University |
| issn | 1023-621X |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-33c5081a69e9489c8f1e3f9454b4addb2025-02-03T01:26:30ZengWileyInternational Journal of Rotating Machinery1023-621X2003-01-019643744210.1155/S1023621X03000423The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical ErrorsShengxiang Jia0Ian Howard1Jiande Wang2School of Engineering, Curtin University of Technology, Bentley, Western Australia, AustraliaSchool of Engineering, Curtin University of Technology, Bentley, Western Australia, AustraliaSchool of Engineering, Curtin University of Technology, Bentley, Western Australia, AustraliaThis article presents a dynamic model of three shafts and two pair of gears in mesh, with 26 degrees of freedom, including the effects of variable tooth stiffness, pitch and profile errors, friction, and a localized tooth crack on one of the gears. The article also details howgeometrical errors in teeth can be included in a model. The model incorporates the effects of variations in torsional mesh stiffness in gear teeth by using a common formula to describe stiffness that occurs as the gears mesh together. The comparison between the presence and absence of geometrical errors in teeth was made by using Matlab and Simulink models, which were developed from the equations of motion. The effects of pitch and profile errors on the resultant input pinion angular velocity coherent-signal of the input pinion's average are discussed by investigating some of the common diagnostic functions and changes to the frequency spectra results.http://dx.doi.org/10.1155/S1023621X03000423 |
| spellingShingle | Shengxiang Jia Ian Howard Jiande Wang The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors International Journal of Rotating Machinery |
| title | The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors |
| title_full | The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors |
| title_fullStr | The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors |
| title_full_unstemmed | The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors |
| title_short | The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors |
| title_sort | dynamic modeling of multiple pairs of spur gears in mesh including friction and geometrical errors |
| url | http://dx.doi.org/10.1155/S1023621X03000423 |
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