An analytical method to calculate the time-varying mesh stiffness of spiral bevel gears with cracks

被引:7
|
作者
Wang, Yanan [1 ,2 ]
Wang, Hao [1 ,2 ]
Li, Keyuan [1 ,2 ]
Qiao, Baijie [1 ,2 ]
Shen, Zhixian [1 ,2 ]
Chen, Xuefeng [1 ,2 ]
机构
[1] Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Peoples R China
[2] Xi An Jiao Tong Univ, Natl Key Lab Aerospace Power Syst & Plasma Technol, Xian 710049, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Slice method; Spiral bevel gear; Tooth crack; Time -varying mesh stiffness; DYNAMIC-ANALYSIS; HELICAL GEARS; SPUR GEAR; MODEL; TRANSMISSION;
D O I
10.1016/j.mechmachtheory.2023.105399
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Time-varying mesh stiffness (TVMS) is one of the main dynamic excitation sources of gear transmission systems. The accurate calculation of TVMS is the foundation to comprehensively investigate the vibration of powertrain. Compared with the spur gear, the meshing process of spiral bevel gear is spatially time-varying, which makes the analytical calculation of TVMS more difficult. In this paper, the meshing relationship of spiral bevel gears is first established by extending the slice method of spur and helical gears to spiral bevel gear. Secondly, the analytical models of perfect and cracked spiral bevel gears are presented to evaluate TVMS. Meanwhile, the effects of crack length and depth on mesh stiffness are investigated. Thirdly, the influence of crack length and depth on the dynamic response are simulated based on the 8-DOF dynamic model of spiral bevel gear. Finally, the experiments are conducted to verify the effectiveness of the analytical model. Experimental results demonstrate that the existence of tooth crack fault makes the response characterized by periodic impact with the rotating frequency of cracked pinion.
引用
收藏
页数:28
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