Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method
The torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlas...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/6687467 |
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| _version_ | 1832568611437281280 |
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| author | Hao Dong Libang Wang Haoqin Zhang Xiao-long Zhao |
| author_facet | Hao Dong Libang Wang Haoqin Zhang Xiao-long Zhao |
| author_sort | Hao Dong |
| collection | DOAJ |
| description | The torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlashes were solved by the incremental harmonic balance method, and the results were further verified by the numerical integration method. At the same time, the influence of time-varying meshing stiffness, damping, static transmission error, and external load excitation on the amplitude frequency characteristics of the system was analyzed. The results show that there is not only main harmonic response but also superharmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system, while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash, increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system. |
| format | Article |
| id | doaj-art-f7fadea7e0444a1b867e25bce2d2eb19 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f7fadea7e0444a1b867e25bce2d2eb192025-02-03T00:58:45ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/66874676687467Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance MethodHao Dong0Libang Wang1Haoqin Zhang2Xiao-long Zhao3School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaThe torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlashes were solved by the incremental harmonic balance method, and the results were further verified by the numerical integration method. At the same time, the influence of time-varying meshing stiffness, damping, static transmission error, and external load excitation on the amplitude frequency characteristics of the system was analyzed. The results show that there is not only main harmonic response but also superharmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system, while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash, increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system.http://dx.doi.org/10.1155/2021/6687467 |
| spellingShingle | Hao Dong Libang Wang Haoqin Zhang Xiao-long Zhao Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method Shock and Vibration |
| title | Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method |
| title_full | Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method |
| title_fullStr | Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method |
| title_full_unstemmed | Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method |
| title_short | Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method |
| title_sort | nonlinear frequency response analysis of double helical gear pair based on the incremental harmonic balance method |
| url | http://dx.doi.org/10.1155/2021/6687467 |
| work_keys_str_mv | AT haodong nonlinearfrequencyresponseanalysisofdoublehelicalgearpairbasedontheincrementalharmonicbalancemethod AT libangwang nonlinearfrequencyresponseanalysisofdoublehelicalgearpairbasedontheincrementalharmonicbalancemethod AT haoqinzhang nonlinearfrequencyresponseanalysisofdoublehelicalgearpairbasedontheincrementalharmonicbalancemethod AT xiaolongzhao nonlinearfrequencyresponseanalysisofdoublehelicalgearpairbasedontheincrementalharmonicbalancemethod |