含齿面点蚀的直齿圆柱齿轮副时变啮合刚度的计算及振动响应分析

侯静玉1, 杨绍普2, 刘永强3

振动与冲击 ›› 2024, Vol. 43 ›› Issue (16) : 278-286.

PDF(2079 KB)
PDF(2079 KB)
振动与冲击 ›› 2024, Vol. 43 ›› Issue (16) : 278-286.
论文

含齿面点蚀的直齿圆柱齿轮副时变啮合刚度的计算及振动响应分析

  • 侯静玉1,杨绍普2,刘永强3
作者信息 +

Influence of tooth pitting on time-varying mesh stiffness and vibration response of a spur gear pair

  • HOU Jingyu1, YANG Shaopu2, LIU Yongqiang3
Author information +
文章历史 +

摘要

齿面点蚀作为齿轮传动中最常见的故障之一,它的存在直接影响齿轮副的时变啮合刚度,进而导致系统动态特性的改变。鉴于此,本文将每个点蚀形状近似地视为椭圆柱的一部分,根据点蚀的分布位置和数量定义了三种损伤级别:轻度点蚀、中度点蚀和重度点蚀。基于势能法计算并比较了无故障齿轮和含有不同程度点蚀齿轮的时变啮合刚度,讨论了点蚀位置和点蚀尺寸对时变啮合刚度的影响。研究了单级直齿圆柱齿轮传动系统的故障动态特性,并利用动力传动故障诊断综合实验台对理论结果进行了定性验证。结果表明,本文中的齿面点蚀模型与实际点蚀形貌更接近。随着点蚀位置参数的增大,点蚀区域由基圆逐渐向齿顶圆方向移动;点蚀长轴长越长,点蚀区域内的时变啮合刚度的减小量越明显;在相同的主动轮角位移变化范围内,随着短轴长的变化,不同程度的点蚀故障引起的啮合刚度的减小量是相同的。所建模型能够预测齿轮系统的啮合刚度及振动行为,相应的振动分析结果为齿面点蚀故障的检测和诊断提供了理论参考。

Abstract

As one of the most common faults in gear transmission, tooth pitting will directly affect the time-varying meshing stiffness (TVMS) of the gear pair, and then leads to the change of dynamic characteristics of system. Thus, each pitting shape is considered as approximately a part of ellipse cylinder, and three damage levels are defined based on the position and number of pits: slight pitting, moderate pitting and severe pitting. The TVMS of perfect gear and that of gear with different pitting severity levels are calculated, and the effect of the position and size of pits on TVMS is discussed by use of the potential energy method. The fault dynamic response of one-stage spur gear transmission is studied and the results are qualitatively verified by the Drivetrain Dynamics Simulator (DDS). The results show that the model presented in this study can better match with the actual situation. With the increase of positional parameter, the pitted area moves gradually from the base circle to the top land. The longer the length of the major axis is, the more obvious the reduction of the TVMS in the pitted area is. While with the change of length of the minor axis, the reduction of the TVMS caused by different levels of pitting damages is basically identical in the same range of the angular displacement of the driving gear. The established model is capable of predicting the TVMS and vibration characteristics of a pitted gear system, and the corresponding vibration analysis results could provide theoretical reference for the detection and diagnosis of tooth pitting.

关键词

直齿轮 / 齿面点蚀 / 时变啮合刚度 / 动态响应 / 频谱分析

Key words

spur gear / tooth pitting / time-varying meshing stiffness / dynamic response / frequency spectrum analysis

引用本文

导出引用
侯静玉1, 杨绍普2, 刘永强3. 含齿面点蚀的直齿圆柱齿轮副时变啮合刚度的计算及振动响应分析[J]. 振动与冲击, 2024, 43(16): 278-286
HOU Jingyu1, YANG Shaopu2, LIU Yongqiang3. Influence of tooth pitting on time-varying mesh stiffness and vibration response of a spur gear pair[J]. Journal of Vibration and Shock, 2024, 43(16): 278-286

参考文献

[1] WANG Jun-guo, HE Guang-yue, ZHANG Jie, et al. Nonlinear dynamics analysis of the spur gear system for railway locomotive[J]. Mechanical Systems and Signal Processing, 2017, 85(2017): 41-55. [2] Baud S, Velex P. Static and dynamic tooth loading in spur and helical geared systems-experimentals and model validation[J]. Journal of Mechanical Design, 2002, 124(2): 334-346. [3] WEI Sha, CHU Fu-lei, DING Hu, et al. Dynamic analysis of uncertain spur gear systems[J]. Mechanical Systems and Signal Processing, 2021, 150(2021): 107280.1-17. [4] 石建飞, 苟向锋, 朱凌云. 两空间耦合下齿轮传动系统多稳态特性研究[J]. 力学学报, 2019, 51(05): 225-235. SHI Jian-fei, GOU Xiang-feng, ZHU Ling-yun. Research on multi-stability characteristics of gear transmission system with two-space coupling[J]. Chinese Society of Theoretical and Applied Mechanics, 2019, 51(05): 225-235. [5] WU Si-yan, ZUO Ming-jian, PAREY A. Simulation of spur gear dynamics and estimation of fault growth[J]. Journal of Sound and Vibration, 2008, 317(3-5): 608-624. [6] 李润方, 王建军. 齿轮系统动力学:振动、冲击、噪声[M]. 北京: 科学出版社, 1997. LI Rui-fang, WANG Jian-jun. Geared system dynamic: vibration, shock and noise[M]. Beijing: Science Press, 1997. [7] Kahraman A, Singh R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system[J]. Journal of Sound and Vibration, 1991, 146(1): 135-156. [8] HOU Jing-yu, YANG Shao-pu, LI Qiang, et al. Mesh stiffness calculation and vibration analysis of spur gear pair with tooth crack considering the misalignment between base circle and root circle[J]. International Journal of Mechanical System Dynamics, 2021, 1(1): 143-156. [9] HUANGFU Yi-fan, CHEN Kang-kang, MA Hui, et al. Meshing and dynamic characteristics analysis of spalled gear systems: A theoretical and experimental study[J]. Mechanical Systems and Signal Processing, 2020, 139(May): 106640. 1-106640. 21. [10] Hou Jing-yu, Yang Shao-pu, Li Qiang, et al. Effect of a novel tooth pitting model on mesh stiffness and vibration response of spur gears[J]. Mathematics, 2022, 10: 471. [11] HUANGFU Yi-fan, CHEN Kang-kang, MA Hui, et al. Investigation on meshing and dynamic characteristics of spur gears with tip relief under wear fault[J]. Science China Technological Sciences, 2019, 62(11): 1948-1960. [12] 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. [13] Alban LE. Systematic analysis of gear failures[J]. American Society for Metals, 1985. [14] Tan CK, Irving P, Mba D. A comparative experimental study on the diagnostic and prognostic capabilities of acoustics emission, vibration and spectrometric oil analysis for spur gears[J]. Mechanical Systems and Signal Processing, 2007, 21(1): 208-233. [15] Patrick B. Kelley, ME, et al. NTAC-expert forensic engineering testing, analysis, and testimony[EB/OL]. http://ntaclab.com/metallurgical.html, 2018. [16] Latino R. The 4 basic physical root causes of component failure: fatigue and overload [EB/OL]. https://www.linkedin.com/pulse/part-ii-4-basic-physical- rootcauses-component-failure-bob-latino. [17] Parey A, Jain NK, Koria SC. Failure analysis of air cooled condenser gearbox[J]. Case Studies in Engineering Failure Analysis, 2014, 2(2):150-156. [18] Marilyn. Gear and Reducer Inspection and Analysis[EB/OL]. http://www.efficientplantmag.com/2008/03/shedding-light-on-gear-and-reducer-inspection-and-analysis/, 2018. [19] Chaari F, Baccar W, Abbes MS, et al. Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission[J]. European Journal of Mechanics Series A/Solids, 2008, 27(4): 691-705. [20] MENG Zong, SHI Gui-xia, WANG Fu-lin. Vibration response and fault characteristics analysis of gear based on time-varying mesh stiffness[J]. Mechanism and Machine Theory, 2020, 148: 103786. [21] MENG Zong, WANG Fu-lin, SHI Gui-xia. A novel evolution model of pitting failure and effect on time-varying meshing stiffness of spur gears[J]. Engineering Failure Analysis, 2021, 120(8): 105068. [22] 陈 勇, 李金锴, 臧立彬, 等. 疲劳点蚀斜齿轮动力学仿真预测与故障识别试验研究[J]. 机械工程学报, 2021, 57(09): 61-70. CHEN Yong, LI Jin-kai, ZANG Li-bin, et al. Dynamic simulation and experimental identification for fatigue pitting helical gear fault. Journal of Mechanical Engineering, 2021, 57(09): 61-70. [23] LUO Yang, Baddour N, HAN Guo-sheng, et al. Evaluation of the time-varying mesh stiffness for gears with tooth spalls with curved-bottom features[J]. Engineering Failure Analysis, 2018, 92: 430-442. [24] LUO Yang, Baddour N, LIANG Ming. Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears[J]. Mechanical Systems and Signal Processing, 2018, 119: 155-181. [25] SUN Rui-hua, SONG Chao-sheng, ZHU Cai-chao, et al. Computational study of pitting defect influence on mesh stiffness for straight beveloid gear[J]. Engineering Failure Analysis, 2020, 119: 104971.1-11. [26] LIANG Xi-hui, ZHANG Hong-sheng, LIU Li-bin, et al. The influence of tooth pitting on the mesh stiffness of a pair of external spur gears[J]. Mechanism and Machine Theory, 2016, 106: 1-15. [27] LIANG Xi-hui, LIU Zhi-liang, PAN Jun, et al. Spur gear tooth pitting propagation assessment using model-based analysis[J]. Chinese Journal of Mechanical Engineering, 2017, 30(6): 1369-1382. [28] LEI Ya-guo, LIU Zong-yao, WANG De-long, et al. A probability distribution model of tooth pits for evaluating time-varying mesh stiffness of pitting gears[J]. Mechanical Systems and Signal Processing, 2018, 106: 355-366. [29] LIU Jie, WANG Cheng-ye, WU d Wen-chao. Research on meshing stiffness and vibration response of pitting fault gears with different degrees[J]. International Journal of Rotating Machinery, 2020, 2020: 1-7. [30] CHEN Tao-yuan, WANG Yan-xue, CHEN Zhi-gang. A novel distribution model of multiple teeth pits for evaluating time-varying mesh stiffness of external spur gears[J]. Mechanical Systems and Signal Processing, 2019, 129: 479-501. [31] WANG Qi-bin, XU Kun, Huai Tian-shu, et al. A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief[J]. Applied Mathematical Modelling, 2021, 90: 845-861. [32] SUN Rui-hua, SONG Chao-sheng, ZHU Cai-chao, et al. Computational studies on mesh stiffness of paralleled helical beveloid gear pair[J]. International Journal of Precision Engineering and Manufacturing, 2021, 22(1): 123-137. [33] Yang DCH, LIN JY. Hertzian Damping, tooth friction and bending elasticity in gear impact dynamics[J]. Journal of Mechanisms, Transmissions, and Automation in Design, 1987, 109(2): 189-196. [34] TIAN Xin-hao. Dynamic simulation for system response of gearbox including localized gear faults[D]. [Master Thesis]. University of Alberta, 2004. [35] Sainsot P, Velex P, Duverger O. Contribution of gear body to tooth deflections-a new bidimensional analytical formula[J]. Journal of Mechanical Design, 2004, 126(4): 748-752. [36] HOU Jing-yu, YANG Shao-pu, LI Qiang, et al. Nonlinear dynamic analysis of spur gear system based on fractional-order calculus[J]. Modern Physics Letters B, 2020(3): 2050420.1-15.

PDF(2079 KB)

Accesses

Citation

Detail

段落导航
相关文章

/