含齿根裂纹齿轮副时变啮合刚度改进算法

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英文篇名：Improved Algorithm for Time-varying Meshing Stiffness of Gear with Cracked Tooth 作者：黄金凤 ; 张飞斌 ; 崔玲丽 ; 陈雄飞 英文作者：HUANG Jinfeng;ZHANG Feibin;CUI Lingli;CHEN Xiongfei;Key Laboratory of Advanced Manufacturing Technology,Beijing University of Technology;Department of Mechanical Engineering,Tsinghua University;Engineering College,Jiangxi Agricultural University; 关键词：齿轮副 ; 啮合刚度 ; 故障诊断 ; 拉压刚度 ; 普遍方程法 英文关键词：gear pair;;meshing stiffness;;fault diagnosis;;tension-compressive stiffness;;general equation method 中文刊名：ZZHD 英文刊名：Machine Building & Automation 机构：北京工业大学先进制造技术北京市重点实验室;清华大学机械工程系;江西农业大学工学院; 出版日期：2019-04-20 出版单位：机械制造与自动化 年：2019 期：v.48;No.261 语种：中文; 页：ZZHD201902012 页数：5 CN：02 ISSN：32-1643/TH 分类号：49-53

摘要

齿轮轮齿局部缺陷故障会通过改变齿轮副的时变啮合刚度进而影响系统振动响应特征。在基于齿廓普遍方程的能量法框架下,结合修正的轮齿拉压刚度,对精确全齿廓齿根裂纹故障齿轮副时变啮合刚度的求解进行系统讨论;针对不同故障参数对应的故障模型,详细地分类讨论,得出了各情况下相应的啮合刚度计算公式。以齿条刀加工的标准直齿轮为对象,研究新模型中齿根裂纹故障对轮齿拉压刚度的影响,为齿轮齿根裂纹故障的诊断机理研究提供基础支撑。
        Gear tooth local defect affects the system vibration response characteristics mainly by changing the time-varying meshing stiffness of the gear pair. In this paper,the solution of the time-varying meshing stiffness of the gear pair with accurate full tooth root crack is systematically discussed based on the energy method framework of general equation of tooth profile,and combined with the modified gear tension-compressive stiffness. According to the defect model corresponding to different fault parameters,the classification and discussion are made in detail and the formulas of the corresponding meshing stiffness are obtained. The standard spur gears processed by rack cutters are used as object in this paper,and the effect of tooth root crack on the tension and compression rigidity of the gear is studied in the new model. Therefore it provides the basic support for the diagnosis mechanism of the tooth root crack failure.

引文

[1]R G Munro,D Palmer,L Morrish. An experimental method to measure gear tooth stiffness throughout and beyond the path of contact[J]. Proceedings of the Institution of Mechanical Engineers; Part C:Journal of Mechanical Engineering Science,2001,215:793-803.
    [2]安春雷,韩振南.点蚀与剥落对齿轮扭转啮合刚度影响的分析[J].振动、测试与诊断,2008,28(4):354-357.
    [3]Weber,C. The deformation of loaded gears and the effect on their load-carrying capacity[R]. London:British Scientific and Industrial Research,1949.
    [4]Yang,D.C.H.,Lin,J.Y. Hertzian damping,tooth friction and bending elasticity in gear impact dynamics[J]. Journal of Mech.,Trans.and Auto in Design,1987,109:189-196.
    [5]Tian,X.H. Dynamic simulation for system response of gearbox including localized gear faults[D]. Edmonton,Canada:University of Alberta,2004.
    [6]Wu,S.Y.,Zuo,M.J.,Parey,A. Simulation of spur gear dynamics and estimation of fault growth[J]. Journal of Sound and Vibration,2008,317:608-624.
    [7]万志国,訾艳阳,曹宏瑞,等.时变啮合刚度算法修正与齿根裂纹动力学建模[J].机械工程学报,2013(11):153-160.
    [8]马辉,逄旭,宋溶泽,等.基于改进能量法的直齿轮时变啮合刚度计算[J].东北大学学报(自然科学版),2014,35(6):864-866,884.
    [9]Ma H,Song R,Pang X,et al. Time-varying mesh stiffness calculation of cracked spur gears[J]. Engineering Failure Analysis,2014,44(5):179-194.
    [10]Lingli Cui,Hao Zhai,Feibin Zhang. Research on the meshing stiffness and vibration response of cracked gears based on the universal equation of gear profile[J]. Mechanism and Machine Theory,2015,94:80-95.
    [11]Mohammed O D,Rantatalo M,Aidanpaa J O. Improving mesh stiffness calculation of cracked gears for the purpose of vibration-based fault analysis[J]. Engineering Failure Analysis,2013,34(8):235-251.
    [12]田培棠,田凌.圆柱齿轮几何计算原理及实用算法[M].北京:国防工业出版社,2012.
    [13]D.C.H. Yang,Z.S. Sun. A Rotary Model For Spur Gear Dynamics[J]. Journal of Xian University of Technology,1985,107(4):529-535.
    [14] Fakher Chaari,Tahar Fakhfakh,Mohamed Haddar. Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness[J]. European Journal of Mechanics A/Solids,2009,28(3):461-468.