Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction

Zaida Gao; Shengbo Li; Shengping Fu; Polyakov Roman

doi:10.16578/j.issn.1004.2539.2022.02.006

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Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction

Theory·Reserach | 更新时间：2022-09-25

- Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction
- Journal of Mechanical Transmission Vol. 46, Issue 2, Pages: 34-41(2022)
- 作者机构：
  
  1.厦门理工学院机械与汽车工程学院，福建厦门 361024
  2.集美大学海洋装备与机械工程学院，福建厦门 361021
  3.Orel State University Named after I.S. Turgenev， Russia Orel State 302026
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.02.006
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高在达,李胜波,符升平等.考虑误差和齿面摩擦随机性的直齿圆柱齿轮副振动特性分析[J].机械传动,2022,46(02):34-41.

Gao Zaida,Li Shengbo,Fu Shengping,et al.Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction[J].Journal of Mechanical Transmission,2022,46(02):34-41.
高在达,李胜波,符升平等.考虑误差和齿面摩擦随机性的直齿圆柱齿轮副振动特性分析[J].机械传动,2022,46(02):34-41. DOI： 10.16578/j.issn.1004.2539.2022.02.006.

Gao Zaida,Li Shengbo,Fu Shengping,et al.Analysis of Spur Cylindrical Gear Pair Vibration Characteristic Considering Error and Randomness of Tooth Surface Friction[J].Journal of Mechanical Transmission,2022,46(02):34-41. DOI： 10.16578/j.issn.1004.2539.2022.02.006.

摘要

针对考虑误差和齿面摩擦参数随机性的齿轮振动特性不明确的问题，综合统计法和集中质量法，数值研究误差和齿面摩擦参数的随机特性，分析轮齿误差对齿面摩擦参数的影响，建立计及误差和齿面摩擦参数随机性的直齿轮传动弯扭耦合振动模型；采用4阶龙格库塔法进行数值求解，得到齿轮传动的振动响应，探析齿轮误差和齿面摩擦参数随机性对齿轮振动特性的影响。结果表明，考虑误差和齿面摩擦随机性后，在两者的作用下齿轮动力学响应在频域与相图上表现出更为复杂的随机性，其中误差随机性对于齿轮系统动力学稳定性的干扰更强。研究结果为齿轮传动的动态设计提供理论参考。

Abstract

Aiming at the problem of gear vibration characteristics with considering the error and randomness of tooth surface friction parameters are not clear. Combined with statistical methods and concentrated mass methods， the numerically study of the random characteristics of errors and tooth surface friction parameter is carried out. The influence of gear tooth errors on tooth surface friction parameters is analyzed. The bending-torsional coupled vibration model of a spur gear transmission is established in consideration of error and randomness of the tooth surface friction parameters. The fourth-order Runge-Kutta method is used for numerical solution， the vibration response of the gear transmission is obtained. The influences of gear error and the random tooth surface friction parameters on gear vibration responses are explored. The results show that the dynamic responses of the gear pair have more complicated randomness in the frequency domain and phase diagram under the collective effects of the error and the random tooth surface friction. However， error randomness interferes more with the dynamic stability of the gear system. And the research results provide a theoretical reference for the dynamic design of the gear transmission.

关键词

随机误差齿面摩擦齿轮传动齿轮动力学

Keywords

Random errorTooth surface frictionGear transmissionGear dynamics

references

VAISHYA M，SINGH R.Strategies for modeling friction in gear dynamics［J］.Journal of Mechanical Design，2003，125（2）：383-393.

熊杨寿.考虑粗糙齿面影响的大重合度直齿轮非线性动力学特性研究［D］.合肥：合肥工业大学，2017：54-72.

XIONG Yangshou.Study on nonlinear dynamic characteristics of spur gears with large contact degree considering the effect of rough tooth surface［D］.Hefei：Hefei University of Technology，2017：54-72.

KAHRAMAN A，BLANKENSHIP G W.Effect of involute contact ratio on spur gear dynamics［J］.Journal of Mechanical Design，1999，121（1）：112-118.

ANANDIKA M N，KAHRAMAN A，TALBOT D.An experimental investigation of the impact of random spacing errors on the dynamic transmission error of spur gear pairs［C］//ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference，2019：11-35.

陈会涛，吴晓铃，秦大同，等.随机内外激励对齿轮系统动态特性的影响分析［J］.中国机械工程，2013，24（4）：533-537.

CHEN Huitao，WU Xiaoling，QIN Datong，et al.Influence of random internal and external excitations on dynamic characteristics of gear system［J］.China Mechanical Engineering，2013，24（4）：533-537.

邓绪山，杨兵，刘增民.基于轮齿随机误差的齿轮系统动力学分析［J］.机械传动，2011，35（10）：31-34.

DENG Xushan，YANG Bing，LIU Zengmin.Dynamics analysis of gear system based on teeth random error［J］.Journal of Mechanical Transmission，2011，35（10）：31-34.

周长江，张成，唐进元.齿轮传动线外啮出冲击建模与计算［J］.航空动力学报，2014，29（5）：1205-1210.

ZHOU Changjiang，ZHANG Cheng，TANG Jinyuan.Modeling and calculation of impact outside the gear transmission line［J］.Journal of Aerospace Power，2014，29（5）：1205-1210.

陆凤霞，王浩飞，朱如鹏，等.基于齿面摩擦的直齿轮副动力学特性分析［J］.机械传动，2015，39（11）：27-32.

LU Fengxia，WANG Haofei，ZHU Rupeng，et al.Analysis of dynamic characteristics of spur gear pair based on tooth surface friction［J］.Journal of Mechanical Transmission，2015，39（11）：27-32.

陆凤霞，王浩飞，朱如鹏，等.基于齿面摩擦的人字齿轮副动力学特性分析［J］.振动与冲击，2016（9）：204-212.

LU Fengxia，WANG Haofei，ZHU Rupeng，et al.Dynamic characteristics analysis of herringbone gear pair based on tooth surface friction［J］.Vibration and Shock，2016（9）：204-212.

欧阳天成，黎朔宇，周峰，等.高速直齿轮摩擦动力学特性分析［J］.振动，测试与诊断，2020，40（2）：255-263.

OUYANG Tiancheng，LI Shuoyu，ZHOU Feng，et al.Friction dynamics analysis of high speed spur gear［J］.Vibration，Testing and Diagnosis，2020，40（2）：255-263.

王一，王奇斌，张义民.基于齿面摩擦的斜齿轮传动动力学特性分析［J］.机械设计与制造，2013（10）：22-25.

WANG Yi，WANG Qibin，ZHANG Yimin.Analysis of dynamic characteristics of helical gear transmission based on tooth surface friction［J］.Mechanical Design and Manufacture，2013（10）：22-25.

魏永祥，陈建军，王敏娟.随机参数齿轮-转子系统的扭转振动分析［J］.航空动力学报，2010，25（11）：2637-2642.

WEI Yongxiang，CHEN Jianjun，WANG Minjuan.Torsional vibration analysis of gear-rotor system with random parameters［J］.Journal of Aerospace Power，2010，25（11）：2637-2642.

魏永祥，陈建军，拓耀飞.随机参数时变齿轮副的动力响应分析［J］.中南大学学报（自然科学版），2011，42（3）：708-713.

WEI Yongxiang，CHEN Jianjun，TUO Yaofei .Dynamic response analysis of random parameter time-varying gear pair［J］.Journal of Central South University （Natural Science Edition），2011，42（3）：708-713.

陈思雨，唐进元.间隙对含摩擦和时变刚度的齿轮系统动力学响应的影响［J］.机械工程学报，2009（8）：119-124.

CHEN Siyu，TANG Jinyuan.Influence of clearance on dynamic response of gear system with friction and time-varying stiffness［J］.Journal of Mechanical Engineering，2009（8）：119-124.

GUERINE A，El HAMI A，WALHA L，et al.A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system［J］.European Journal of Mechanics，2016，59：76-84.

李直，王建梅，张宏，等.齿面形貌对齿轮系统动态特性的影响研究［J］.重型机械，2020（4）：31-37.

LI Zhi，WANG Jianmei，ZHANG Hong，et al.Research on the influence of tooth surface morphology on dynamic characteristics of gear system［J］.Heavy Machinery，2020（4）：31-37.

黄康，郭俊，徐锐.考虑齿面粗糙度影响的齿轮动力学研究［J］.塑性工程学报，2019，26（1）：234-239.

HUANG Kang，GUO Jun，XU Rui.Study on gear dynamics considering the effect of tooth surface roughness［J］.Journal of Plasticity Engineering，2019，26（1）：234-239.

MO W，JIAO Y，CHEN Z.Dynamic analysis of helical gears with sliding friction and gear errors［J］.IEEE Access，2018，6：60467-60477.

颜海燕，唐进元，宋红光.直齿轮轮齿变形计算的数值积分法［J］.机械传动，2005，29（2）：7-9.

YAN Haiyan，TANG Jinyuan，SONG Hongguang.Numerical integral method for gear deformation calculation［J］.Journal of Mechanical Transmission，2005，29（2）：7-9.

全国齿轮标准化技术委员会.圆柱齿轮.精度制.第1部分：轮齿同侧齿面偏差的定义和允许值：GB/T 10095.1-2008［S］.北京：中国标准出版社，2008：6-16.

National Technical Committee of Gear Standardization.Cylindrical gears.System of accuracy.Part 1：Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth：GB/T 10095.1-2008［S］.Beijing：Standards Press of China，2008：6-16.

全国齿轮标准化技术委员会.圆柱齿轮.精度制.第2部分：镜像综合偏差与径向跳动偏差的定义和允许值：GB/T 10095.2-2008［S］.北京：中国标准出版社，2008：4-7.

National Technical Committee of Gear Standardization.Cylindrical gears.Cylindrical gears.System of accuracy.Part 2：Definitions and allowable values of deviations relevant to radial composite deviations and runout informations：GB/T 10095.2-2008［S］.Beijing：Standards Press of China，2008：4-7.

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