摘要
基于齿轮加工、安装误差的分布规律,建立了渐开线直齿轮的误差齿面模型,提出了适用于该误差齿面模型的齿轮承载接触分析算法,研究了不同误差对直齿轮副内部激励的影响规律;建立了直齿轮副弯扭耦合动力学模型,分析了不同误差下齿轮系统的动态特性。研究表明:加工误差中,齿距偏差是齿轮副内部激励的主要影响因素;齿距偏差作用下,综合啮合误差呈阶跃变化,当阶跃值超过一定范围后时变啮合刚度发生突变;安装误差影响下,综合啮合误差为一定值,时变啮合刚度随中心距和轴线倾斜误差的增加而减小;为减小齿轮系统动态传递误差的峰峰值,齿距偏差应根据载荷大小合理分配,同时应避免由轴线倾斜误差导致的偏载现象发生。
Based on the distribution rule of gear machining and assembly errors,an error tooth surface model of involute spur gear was established,and a novel gear load contact analysis algorithm suitable for the presented error tooth surface model was proposed.The influence of different errors on the internal excitation of spur gear pair was investigated.On this basis,a bending-torsion coupling dynamic model of spur gear pair was established,and the dynamic characteristics of the gear system under different errors were analyzed.Results show that the pitch deviation is the main factor affecting the internal excitation of the spur gear pair among the machining errors.Under the action of the pitch deviation,the composite meshing error changes step by step,and the time-varying meshing stiffness changes suddenly when the step value exceeds a certain range.Under the influence of assembly errors,the composite meshing error is a certain value during the whole meshing cycle,and the time-varying meshing stiffness decreases with the center distance and the misalignment deviation of gear axis.To reduce the peak-to-peak value of the dynamic transmission error of the gear system,the pitch deviation should be reasonably distributed according to the load size,and the eccentric load on the tooth surface caused by the misalignment deviation of gear axis should be avoided.
作者
刘昶
石万凯
刘坤
刘浩
LIU Chang;SHI Wankai;LIU Kun;LIU Hao(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2022年第16期177-187,共11页
Journal of Vibration and Shock
基金
国家自然科学基金(51675061)。
关键词
直齿轮副
误差齿面
内部激励
动态特性
spur gear pair
error tooth surface
internal excitation
dynamic characteristics
