齿距误差对斜齿轮副系统振动特性的影响  

Influence of pitch error on vibration characteristics of the helical gear pair system

作　　者：潘石洁 李有堂[1] 王娟娥 Pan Shijie;Li Youtang;Wang Juan'e(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Gansu Lanzhou,730050,China)

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《机械设计与制造工程》2023年第3期109-114,共6页Machine Design and Manufacturing Engineering

基　　金：国家自然科学基金资助项目(51965037)。

摘　　要：工程实际中斜齿轮副存在齿距误差,为此研究了齿距误差对斜齿轮副系统振动特性的影响。基于齿距误差的周期时变性,提出一种将齿距误差模拟为正弦函数的方法,用于齿距误差的计算。考虑齿距误差的影响,建立了斜齿轮副系统的弯-扭-轴耦合动力学模型。通过龙格-库塔(Runge-Kutta)数值积分法,分析了齿距误差对系统振动特性的影响。研究结果表明:齿距误差的引入对系统扭转振动的影响最大,当齿距误差以相同程度变化时所导致的系统扭转方向振动响应增大或减小程度相同。Aiming at the problem of pitch error of helical gear pair in engineering practice,the influence of pitch error on vibration characteristics of helical gear pair system is mainly studied.Due to the periodic time-varying nature of pitch error,a method of simulating the pitch error as a sine function is proposed to calculate pitch error.A dynamic model of bending-torsion-shaft coupling of helical gear pair system is established considering the effect of pitch error.The influence of pitch error on the vibration characteristics of the system is analyzed by Runge-Kutta numerical integration method.The research results show that the introduction of pitch error has the most significant impact on the torsional vibration of the system.Moreover,it is also found that the vibration response in the torsional orientation of the system increases or decreases to the same degree when the pitch error varies by the same extent.

关 键 词：齿距误差 斜齿轮副 振动特性 龙格-库塔法 

分 类 号：TH113[机械工程—机械设计及理论]