Nonlinear Dynamics of a Multi-shaft Gear System in Parameter-state Space.
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| Title: | Nonlinear Dynamics of a Multi-shaft Gear System in Parameter-state Space. |
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| Authors: | Yan Yang1,2 yany@mail.lzjtu.cn |
| Source: | International Journal of Automotive & Mechanical Engineering. Sep2023, Vol. 20 Issue 3, p10684-10694. 12p. |
| Subjects: | Periodic motion, Backlash (Engineering), Poincare maps (Mathematics), Bifurcation diagrams, Gearing machinery, Runge-Kutta formulas, Dynamic loads, Helical gears |
| Abstract: | A nonlinear dynamic model of a 12-degree-of-freedom multi-shaft gear system is established, which includes nonlinear factors such as gear backlash, bearing clearance and time-varying mesh stiffness. The bifurcation diagrams and the maximum dynamic load coefficient diagrams that describe the dynamics of the gear transmission system are simulated by using the Runge-Kutta method, combined with three Poincaré mapping. The mutual transition of the adjacent period one motion through the grazing bifurcation and saddle-node bifurcation form a hysteresis zone where two types of impact motion coexist. The correlation between the dynamic response and the gear backlash under the parameter-state space is investigated, and it is verified that the extreme parameter conditions lead to abnormal vibration phenomena such as jumping, mesh-apart and chaotic motion. The results show that, near the critical value of ω = 0.7164 for grazing bifurcation, the meshing gear pair undergoes a jump in relative micro-displacement and dynamic load, increasing system impact vibration and a decrease in transmission efficiency, which is an undesirable parameter interval. In the initial stage of dynamic designing, the backlashes can be selected through the internal characteristics and transition mechanism of periodic motions. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Automotive & Mechanical Engineering is the property of Universiti Malaysia Pahang, Faculty of Mechanical Engineering and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 173582048 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Nonlinear Dynamics of a Multi-shaft Gear System in Parameter-state Space. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yan+Yang%22">Yan Yang</searchLink><relatesTo>1,2</relatesTo><i> yany@mail.lzjtu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Automotive+%26+Mechanical+Engineering%22">International Journal of Automotive & Mechanical Engineering</searchLink>. Sep2023, Vol. 20 Issue 3, p10684-10694. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Periodic+motion%22">Periodic motion</searchLink><br /><searchLink fieldCode="DE" term="%22Backlash+%28Engineering%29%22">Backlash (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Poincare+maps+%28Mathematics%29%22">Poincare maps (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Bifurcation+diagrams%22">Bifurcation diagrams</searchLink><br /><searchLink fieldCode="DE" term="%22Gearing+machinery%22">Gearing machinery</searchLink><br /><searchLink fieldCode="DE" term="%22Runge-Kutta+formulas%22">Runge-Kutta formulas</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+loads%22">Dynamic loads</searchLink><br /><searchLink fieldCode="DE" term="%22Helical+gears%22">Helical gears</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A nonlinear dynamic model of a 12-degree-of-freedom multi-shaft gear system is established, which includes nonlinear factors such as gear backlash, bearing clearance and time-varying mesh stiffness. The bifurcation diagrams and the maximum dynamic load coefficient diagrams that describe the dynamics of the gear transmission system are simulated by using the Runge-Kutta method, combined with three Poincaré mapping. The mutual transition of the adjacent period one motion through the grazing bifurcation and saddle-node bifurcation form a hysteresis zone where two types of impact motion coexist. The correlation between the dynamic response and the gear backlash under the parameter-state space is investigated, and it is verified that the extreme parameter conditions lead to abnormal vibration phenomena such as jumping, mesh-apart and chaotic motion. The results show that, near the critical value of ω = 0.7164 for grazing bifurcation, the meshing gear pair undergoes a jump in relative micro-displacement and dynamic load, increasing system impact vibration and a decrease in transmission efficiency, which is an undesirable parameter interval. In the initial stage of dynamic designing, the backlashes can be selected through the internal characteristics and transition mechanism of periodic motions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Automotive & Mechanical Engineering is the property of Universiti Malaysia Pahang, Faculty of Mechanical Engineering and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.15282/ijame.20.3.2023.11.0825 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 10684 Subjects: – SubjectFull: Periodic motion Type: general – SubjectFull: Backlash (Engineering) Type: general – SubjectFull: Poincare maps (Mathematics) Type: general – SubjectFull: Bifurcation diagrams Type: general – SubjectFull: Gearing machinery Type: general – SubjectFull: Runge-Kutta formulas Type: general – SubjectFull: Dynamic loads Type: general – SubjectFull: Helical gears Type: general Titles: – TitleFull: Nonlinear Dynamics of a Multi-shaft Gear System in Parameter-state Space. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yan Yang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 22298649 Numbering: – Type: volume Value: 20 – Type: issue Value: 3 Titles: – TitleFull: International Journal of Automotive & Mechanical Engineering Type: main |
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