Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack,considering the misalignment between the base and root circles  

作　　者：Jingyu Hou Shaopu Yang Qiang Li Yongqiang Liu Jiujian Wang 

机构地区：[1]School of Mechanical,Electronic and Control Engineering,Beijing Jiaotong University,Beijing,China [2]State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang,China [3]School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang,China [4]State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha,China

出　　处：《International Journal of Mechanical System Dynamics》2021年第1期143-156,共14页国际机械系统动力学学报（英文）

基　　金：National Natural Science Foundation of China,Grant/Award Numbers:11790282,12032017,11802184,11902205,12002221;S&T Program of Hebei,Grant/Award Number:20310803D;Natural Science Foundation of Hebei Province,Grant/Award Number:A2020210028。

摘　　要：An improved variable cross‐section cantilever beam model for evaluating the time‐varying mesh stiffness(TVMS)of the perfect gear tooth is developed in which the tooth number of driving gear is less than 42 and that of driven is more than 42.The TVMS obtained by the proposed method is compared with the result without considering the misalignment between the base circle and gear root.Four types of root crack models and changes inTVMS of 13‐crack levels are presented.The fault vibration characteristic of a single‐stage spur gear reducer with root crack is ana-lyzed and the correctness is qualitatively verified by the vibration signals of an experimental gearbox with crack or missing failure.The results presented in this paper are of great significance for a deep understanding of the possible causes of vibration and noise of gears and provide a theoretical foundation for the fault diagnosis of the gearbox.

关 键 词：BACKLASH gear potential energy method time‐varying mesh stiffness(TVMS) tooth crack 

分 类 号：O34[理学—固体力学]