Journal of South China University of Technology(Natural Science) >
Coupled Analysis of Dynamic Contact and Dynamics of Gear System Considering Tooth Back Meshing
Received date: 2023-10-31
Online published: 2024-01-26
Supported by
the National Natural Science Foundation of China(52475050)
In order to study the effect of tooth back meshing on the nonlinear dynamic response of the gear system more deeply, a method of analyzing the coupling of tooth transient contact and system dynamics considering the tooth back meshing is proposed. First, the differences in dynamic model and the phase relationship between tooth back meshing and normal meshing are analyzed by studying the mechanism of tooth back meshing. Next, a dynamic model of the gear system considering tooth back meshing is established. Then, a closed-loop “excitation-response-feedback” coupled method is proposed by combining with the dynamic loaded tooth contact analysis (DLTCA). The proposed method can not only can consider the inverse effect of dynamic displacement on the dynamic contact state of the tooth surface, but also can factor in the tooth backlash, flank errors and modification, thus helping obtain more actual dynamic mesh stiffness and system response. The results show that the tooth back meshing mainly affects the nonlinear vibration responses in the speed-down process, while the effect on the speed-up process is not obvious; that increasing the tooth clearance may increase the main resonance speed range of the gear system, while the sensitivity of system vibration to the change of tooth clearance may decrease; that the tooth clearance with small value mainly affects the system nonlinear vibration through the tooth back meshing; and that considering the tooth back meshing may not only change the chaotic rotational speeds, but also change the chaotic state at the same rotational speed. This research provides some theoretical guidance for the nonlinear dynamic control of gear system.
CHANG Lehao , WANG Peilin , HUANG Qidi , YUAN Bing , SU Jinzhan . Coupled Analysis of Dynamic Contact and Dynamics of Gear System Considering Tooth Back Meshing[J]. Journal of South China University of Technology(Natural Science), 2024 , 52(12) : 22 -31 . DOI: 10.12141/j.issn.1000-565X.230682
| 1 | KAHRAMAN A, BLANKENSHIP G W .Effect of involute contact ratio on spur gear dynamics[J].Journal of Mechanical Design,1999,121(1):112-118. |
| 2 | KAHRAMAN A, BLANKENSHIP G W .Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters[J].Journal of Applied Mechanics,1997,64(1):217-226. |
| 3 | PARKER R G, VIJAYAKAR S M, IMAJO T .Non-linear dynamic response of a spur gear pair:modelling and experimental comparisons[J].Journal of Sound and Vibration,2000,237(3):435-455. |
| 4 | ERITENEL T, PARKER R G .Three-dimensional nonlinear vibration of gear pairs[J].Journal of Sound and Vibration,2012,331(15):3628-3648. |
| 5 | 张锁怀,沈允文,董海军,等 .齿轮拍击系统的动力响应[J].振动工程学报,2003,16(1):62-66. |
| ZHANG Suohuai, SHEN Yunwen, DONG Haijun,et al .Dynamic response of a gear rattling system[J].Journal of Vibration Engineering,2003,16(1):62-66. | |
| 6 | 王涛,唐增宝,钟毅芳 .齿轮传动的动态啮合刚度[J].华中理工大学学报,1992,20(3):39-44. |
| WANG Tao, TANG Zengbao, ZHONG Yifang .The dynamic meshing stiffness of gear transmission[J].Journal of Huazhong University of Science and Technology,1992,20(3):39-44. | |
| 7 | CHEN S, TANG J, LUO C,et al .Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction[J].Mechanism and Machine Theory,2010,46(4):466-478. |
| 8 | 陈小安,缪莹赟,杨为,等 .基于有限单元法的多间隙耦合齿轮传动系统非线性动态特性分析[J].振动与冲击,2010,29(2):46-49. |
| CHEN Xiaoan, MIAO Yingyun, YANG Wei,et al .Nonlinear dynamic characteristics analysis of a gear transmission system with multiple clearances based on finite element method[J].Journal of Vibration and Shock,2010,29(2):46-49. | |
| 9 | YANG Y, XIA W, HAN J,et al .Vibration analysis for tooth crack detection in a spur gear system with clearance nonlinearity[J].International Journal of Mechanical Sciences,2019,157/158:648-661. |
| 10 | XIANG L, GAO N .Coupled torsion-bending dynamic analysis of gear-rotor-bearing system with eccentricity fluctuation[J].Applied Mathematical Modelling,2017,50:569-584. |
| 11 | CAO Z, CHEN Z, JIANG H .Nonlinear dynamics of a spur gear pair with force-dependent mesh stiffness[J].Nonlinear Dynamics,2020,99(2):1227-1241. |
| 12 | 常乐浩,贺朝霞,刘岚,等 .一种确定斜齿轮传递误差和啮合刚度的快速有效方法[J].振动与冲击,2017,36(6):157-162. |
| CHANG Lehao, HE Zhaoxia, LIU Lan,et al .Express method for determining the transmission error and mesh stiffness of helical gears[J].Journal of Vibration and Shock,2017,36(6):157-162. | |
| 13 | 常乐浩,袁冰,宋文,等 .齿轮副非线性接触特性与动力学耦合分析方法[J].西安交通大学学报,2022,56(10):1-10. |
| CHANG Lehao, YUAN Bing, SONG Wen,et al .A model for coupling analysis of the nonlinear contact characteristics and dynamics of gear pairs[J].Journal of Xi’an Jiaotong University,2022,56(10):1-10. | |
| 14 | 盛冬平,朱如鹏,陆凤霞,等 .多间隙弯扭耦合齿轮非线性振动的分岔特性研究[J].振动与冲击,2014,33(19):116-122. |
| SHENG Dongping, ZHU Rupeng, LU Fengxia,et al .Bifurcation characteristics of bending-torsional coupled gear nonlinear vibration with multi-clearance[J].Journal of Vibration and Shock,2014,33(19):116-122. | |
| 15 | 李扬,朱佳博,李伟,等 .含动态齿侧间隙的齿轮系统稳定性研究[J].机械制造与自动化,2023,52(3):16-19. |
| LI Yang, ZHU Jiabo, LI Wei,et al .Research on stability of gear system with dynamic backlash[J].Machine Building & Automation,2023,52(3):16-19. | |
| 16 | 魏伟,杨光,王思宇 .齿背啮合机理及动态接触冲击研究[J].机械传动,2016,40(12):42-47. |
| WEI Wei, YANG Guang, WANG Siyu .Study on meshing mechanism of teeth back and dynamic contact-impact of gear pair[J].Journal of Mechanical Transmission,2016,40(12):42-47. | |
| 17 | 王峰,张健,徐兴,等 .基于齿背接触刚度的高速斜齿轮瞬态振动特性[J].振动、测试与诊断,2019,39(4):706-712. |
| WANG Feng, ZHANG Jian, XU Xing,et al .Transient vibration characteristics of helical gear based on meshing stiffness of back teeth[J].Journal of Vibration,Measurement & Diagnosis,2019,39(4):706-712. | |
| 18 | 王峰,张健,徐兴,等 .融合齿背接触机理的圆柱斜齿轮振动特性分析与双面修形优化研究[J].振动与冲击,2018,37(24):53-60. |
| WANG Feng, ZHANG Jian, XU Xing,et al .A study on vibration haracteristics of a cylindrical spur gear with the contact mechanism of back teeth and optimization of double teeth surfaces modification[J].Journal of Vibration and Shock,2018,37(24):53-60. | |
| 19 | WANG F, ZHANG J, XU X,et al .New teeth surface and back (TSB) modification method for transient torsional vibration suppression of planetary gear powertrain for an electric vehicle[J].Mechanism and Machine Theory,2019,140:520-537. |
| 20 | 马晓婧,石建飞,张天临,等 .基于Johnson接触模型的内啮合直齿轮系统多状态啮合动力学建模与分析[J].振动与冲击,2023,42(18):54-62. |
| MA Xiaojing, SHI Jianfei, ZHANG Tianlin,et al .Multi-state meshing dynamics modeling and analysis of an internal meshing spur gear system based on the johnson contact model[J].Journal of Vibration and Shock,2023,42(18):54-62 |
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