Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology
The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the influence of real surface topography on the gear system dynamic performance, this paper establishes a 3‐degree of freedom transverse‐torsional dynami...
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| Published in | International journal of mechanical system dynamics Vol. 1; no. 2; pp. 194 - 206 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Nanjing
John Wiley & Sons, Inc
01.12.2021
Wiley |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2767-1402 2767-1399 2767-1402 |
| DOI | 10.1002/msd2.12004 |
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| Abstract | The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the influence of real surface topography on the gear system dynamic performance, this paper establishes a 3‐degree of freedom transverse‐torsional dynamic model with regard to the morphology of the interface. By fractal theory, the expression of backlash between gears is modified based on the height of asperities. The time‐varying stiffness is calculated according to the fractal method rather than assuming a constant, which is more realistic. The dimensionless dynamic differential equations are established and solved with surface topography affected backlash function and time‐varying stiffness. The dynamic response of the gear system with respect to fractal dimension and fractal roughness is analyzed. |
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| AbstractList | The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the influence of real surface topography on the gear system dynamic performance, this paper establishes a 3‐degree of freedom transverse‐torsional dynamic model with regard to the morphology of the interface. By fractal theory, the expression of backlash between gears is modified based on the height of asperities. The time‐varying stiffness is calculated according to the fractal method rather than assuming a constant, which is more realistic. The dimensionless dynamic differential equations are established and solved with surface topography affected backlash function and time‐varying stiffness. The dynamic response of the gear system with respect to fractal dimension and fractal roughness is analyzed. Abstract The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the influence of real surface topography on the gear system dynamic performance, this paper establishes a 3‐degree of freedom transverse‐torsional dynamic model with regard to the morphology of the interface. By fractal theory, the expression of backlash between gears is modified based on the height of asperities. The time‐varying stiffness is calculated according to the fractal method rather than assuming a constant, which is more realistic. The dimensionless dynamic differential equations are established and solved with surface topography affected backlash function and time‐varying stiffness. The dynamic response of the gear system with respect to fractal dimension and fractal roughness is analyzed. |
| Author | Yu, Xin Wu, Shijing Liu, Sheng Sun, Yunyun |
| Author_xml | – sequence: 1 givenname: Xin surname: Yu fullname: Yu, Xin organization: Wuhan University – sequence: 2 givenname: Yunyun orcidid: 0000-0002-4447-1408 surname: Sun fullname: Sun, Yunyun email: sunyunyun@whu.edu.cn organization: Wuhan University – sequence: 3 givenname: Sheng surname: Liu fullname: Liu, Sheng organization: Wuhan University – sequence: 4 givenname: Shijing surname: Wu fullname: Wu, Shijing organization: Wuhan University |
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| Cites_doi | 10.1007/s11071-019-04874-1 10.1006/jsvi.1999.2490 10.1016/j.triboint.2016.01.023 10.1016/j.jsv.2018.02.033 10.1007/s12613-018-1661-0 10.1016/j.jsv.2008.06.021 10.1016/j.ymssp.2018.06.043 10.1016/j.mechmachtheory.2012.10.012 10.1016/0022-460X(91)90527-Q 10.1007/s11071-017-4003-2 10.1016/j.mechmachtheory.2014.08.016 10.1016/j.triboint.2019.105864 10.1016/j.mechmachtheory.2008.05.008 10.1016/0022-460X(90)90582-K 10.1007/s11012-013-9803-y 10.1016/j.apsusc.2014.05.210 10.1016/j.mechmachtheory.2020.104219 10.3389/fenrg.2020.604414 10.3901/JME.2009.08.119 10.1006/mssp.1996.0072 10.1016/j.triboint.2021.107206 10.1016/j.wear.2019.01.017 10.1016/j.wear.2006.07.007 10.1016/j.mechmachtheory.2011.12.005 10.1016/j.ijfatigue.2017.01.020 |
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| Copyright | 2021 The Authors. published by John Wiley & Sons Australia, Ltd on behalf of Nanjing University of Science and Technology. 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the "License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| Snippet | The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the... Abstract The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic response. To study the... |
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| SubjectTerms | Differential equations Dimensionless analysis Dynamic models Dynamic response Fractal analysis Fractal geometry fractal theory Fractals gear pair Influence Methods Morphology Normal distribution Random variables Spur gears Stiffness surface topography Topography |
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| Title | Fractal‐based dynamic response of a pair of spur gears considering microscopic surface morphology |
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