Dynamic Model of Spur Gear Pair with Modulation Internal Excitation
In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal exc...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Rotating Machinery |
| Online Access: | http://dx.doi.org/10.1155/2017/1264904 |
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| author | Zhong Wang Lei Zhang Yuan-Qing Luo Chang-Zheng Chen |
| author_facet | Zhong Wang Lei Zhang Yuan-Qing Luo Chang-Zheng Chen |
| author_sort | Zhong Wang |
| collection | DOAJ |
| description | In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. Here, backlash, modulation time-varying mesh stiffness, and modulation transmission error are considered. Then the undamped natural mode was studied. Numerical simulation was made to reveal the dynamic characteristic of a spur gear under modulation condition. The internal excitation was shown to exhibit obvious modulation sideband because of the modulation time-varying mesh stiffness and modulation transmission error. The Runge-Kutta method was used to solve the equations for analyzing the dynamic characteristics with the effect of modulation internal excitation. The result revealed that the response under modulation excitation exhibited obvious modulation sideband. The response under nonmodulation condition was also calculated for comparison. In addition, an experiment was done to verify the prediction of the modulation sidebands. The calculated result was consistent with the experimental result. |
| format | Article |
| id | doaj-art-734f3b06df6346f5ab8a56af861d5552 |
| institution | Kabale University |
| issn | 1023-621X 1542-3034 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-734f3b06df6346f5ab8a56af861d55522025-02-03T01:23:58ZengWileyInternational Journal of Rotating Machinery1023-621X1542-30342017-01-01201710.1155/2017/12649041264904Dynamic Model of Spur Gear Pair with Modulation Internal ExcitationZhong Wang0Lei Zhang1Yuan-Qing Luo2Chang-Zheng Chen3School of Mechanical Engineering, Liaoning Institute of Science and Technology, Benxi, Liaoning, ChinaSchool of Mechanical Engineering, Shenyang University of Technology, Shenyang, Liaoning, ChinaSchool of Mechanical Engineering, Shenyang University of Technology, Shenyang, Liaoning, ChinaSchool of Mechanical Engineering, Liaoning Institute of Science and Technology, Benxi, Liaoning, ChinaIn the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. Here, backlash, modulation time-varying mesh stiffness, and modulation transmission error are considered. Then the undamped natural mode was studied. Numerical simulation was made to reveal the dynamic characteristic of a spur gear under modulation condition. The internal excitation was shown to exhibit obvious modulation sideband because of the modulation time-varying mesh stiffness and modulation transmission error. The Runge-Kutta method was used to solve the equations for analyzing the dynamic characteristics with the effect of modulation internal excitation. The result revealed that the response under modulation excitation exhibited obvious modulation sideband. The response under nonmodulation condition was also calculated for comparison. In addition, an experiment was done to verify the prediction of the modulation sidebands. The calculated result was consistent with the experimental result.http://dx.doi.org/10.1155/2017/1264904 |
| spellingShingle | Zhong Wang Lei Zhang Yuan-Qing Luo Chang-Zheng Chen Dynamic Model of Spur Gear Pair with Modulation Internal Excitation International Journal of Rotating Machinery |
| title | Dynamic Model of Spur Gear Pair with Modulation Internal Excitation |
| title_full | Dynamic Model of Spur Gear Pair with Modulation Internal Excitation |
| title_fullStr | Dynamic Model of Spur Gear Pair with Modulation Internal Excitation |
| title_full_unstemmed | Dynamic Model of Spur Gear Pair with Modulation Internal Excitation |
| title_short | Dynamic Model of Spur Gear Pair with Modulation Internal Excitation |
| title_sort | dynamic model of spur gear pair with modulation internal excitation |
| url | http://dx.doi.org/10.1155/2017/1264904 |
| work_keys_str_mv | AT zhongwang dynamicmodelofspurgearpairwithmodulationinternalexcitation AT leizhang dynamicmodelofspurgearpairwithmodulationinternalexcitation AT yuanqingluo dynamicmodelofspurgearpairwithmodulationinternalexcitation AT changzhengchen dynamicmodelofspurgearpairwithmodulationinternalexcitation |