Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear
In order to analyze the nonlinear amplitude frequency characteristics of marine herringbone gear transmission system more accurately, the factors such as tooth surface friction, time-varying meshing stiffness, backlash, comprehensive transmission error, external load excitation, intermediate shaft s...
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Editorial Office of Journal of Mechanical Transmission
2022-05-01
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Series: | Jixie chuandong |
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Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.05.002 |
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author | Haoqin Zhang Hao Dong Libang Wang Xiaolong Zhao |
author_facet | Haoqin Zhang Hao Dong Libang Wang Xiaolong Zhao |
author_sort | Haoqin Zhang |
collection | DOAJ |
description | In order to analyze the nonlinear amplitude frequency characteristics of marine herringbone gear transmission system more accurately, the factors such as tooth surface friction, time-varying meshing stiffness, backlash, comprehensive transmission error, external load excitation, intermediate shaft section and elastic support are comprehensively considered, a bending torsional axial pendular nonlinear dynamics model of 24-DOF marine herringbone gear transmission system is established based on the lumped mass parameter method, and the nonlinear dynamic differential equations of the system are derived. In the model, the friction coefficient, friction force and friction moment are calculated by using the elastohydrodynamic lubrication theory. The Runge-Kutta numerical method is used to solve the differential equation. The phase diagram and time history diagram of the non-dimensional frequency system under the influence of tooth surface friction are obtained. The influence of tooth surface friction on the nonlinear frequency response characteristics of the system is analyzed. The results show that the tooth surface friction suppresses the vibration of the herringbone gear pair along the meshing line, but does not change the meshing state of the gear; in different meshing frequency range, low frequency range of 0~0.89 and high frequency range of 1.42~2, the damping effect of tooth surface friction on vibration amplitude cannot be ignored. In the non-stationary resonance range of dimensionless meshing frequency of 0.95~1.23, the damping effect of tooth surface friction is not obvious. It provides a theoretical basis for the study of vibration and noise reduction performance of herringbone gears. |
format | Article |
id | doaj-art-2f896d875eb84aebbd75c77490f7e79a |
institution | Kabale University |
issn | 1004-2539 |
language | zho |
publishDate | 2022-05-01 |
publisher | Editorial Office of Journal of Mechanical Transmission |
record_format | Article |
series | Jixie chuandong |
spelling | doaj-art-2f896d875eb84aebbd75c77490f7e79a2025-01-10T13:58:18ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-05-014691630481082Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone GearHaoqin ZhangHao DongLibang WangXiaolong ZhaoIn order to analyze the nonlinear amplitude frequency characteristics of marine herringbone gear transmission system more accurately, the factors such as tooth surface friction, time-varying meshing stiffness, backlash, comprehensive transmission error, external load excitation, intermediate shaft section and elastic support are comprehensively considered, a bending torsional axial pendular nonlinear dynamics model of 24-DOF marine herringbone gear transmission system is established based on the lumped mass parameter method, and the nonlinear dynamic differential equations of the system are derived. In the model, the friction coefficient, friction force and friction moment are calculated by using the elastohydrodynamic lubrication theory. The Runge-Kutta numerical method is used to solve the differential equation. The phase diagram and time history diagram of the non-dimensional frequency system under the influence of tooth surface friction are obtained. The influence of tooth surface friction on the nonlinear frequency response characteristics of the system is analyzed. The results show that the tooth surface friction suppresses the vibration of the herringbone gear pair along the meshing line, but does not change the meshing state of the gear; in different meshing frequency range, low frequency range of 0~0.89 and high frequency range of 1.42~2, the damping effect of tooth surface friction on vibration amplitude cannot be ignored. In the non-stationary resonance range of dimensionless meshing frequency of 0.95~1.23, the damping effect of tooth surface friction is not obvious. It provides a theoretical basis for the study of vibration and noise reduction performance of herringbone gears.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.05.002Herringbone gearTooth surface frictionNonlinearBending torsional axial pendularAmplitude frequency |
spellingShingle | Haoqin Zhang Hao Dong Libang Wang Xiaolong Zhao Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear Jixie chuandong Herringbone gear Tooth surface friction Nonlinear Bending torsional axial pendular Amplitude frequency |
title | Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear |
title_full | Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear |
title_fullStr | Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear |
title_full_unstemmed | Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear |
title_short | Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear |
title_sort | effect of tooth surface friction on bending torsional axial pendular coupling nonlinear amplitude frequency characteristic of marine herringbone gear |
topic | Herringbone gear Tooth surface friction Nonlinear Bending torsional axial pendular Amplitude frequency |
url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.05.002 |
work_keys_str_mv | AT haoqinzhang effectoftoothsurfacefrictiononbendingtorsionalaxialpendularcouplingnonlinearamplitudefrequencycharacteristicofmarineherringbonegear AT haodong effectoftoothsurfacefrictiononbendingtorsionalaxialpendularcouplingnonlinearamplitudefrequencycharacteristicofmarineherringbonegear AT libangwang effectoftoothsurfacefrictiononbendingtorsionalaxialpendularcouplingnonlinearamplitudefrequencycharacteristicofmarineherringbonegear AT xiaolongzhao effectoftoothsurfacefrictiononbendingtorsionalaxialpendularcouplingnonlinearamplitudefrequencycharacteristicofmarineherringbonegear |