齿面摩擦对两级五分支行星齿轮系统分岔特性的影响  

Influence of tooth surface friction on bifurcation characteristics of two-stage five-branch planetary system

作　　者：董皓[1] 张颢秦 张建文 DONG Hao;ZHANG Haoqin;ZHANG Jianwen(School of Mechatronic Engineering,Xi′an Technological University,Xi′an,Shaanxi 710021,China)

机构地区：[1]西安工业大学机电工程学院,陕西西安710021

出　　处：《燕山大学学报》2022年第1期29-37,共9页Journal of Yanshan University

基　　金：国家自然科学基金资助项目(51705390);陕西省自然科学基金资助项目(2021JM-428);陕西省创新能力支撑计划资助项目(2020KJXX-016);陕西省教育厅科研计划资助项目(20JC015);西安工业大学校长基金项目(XGPY200201)。

摘　　要：为研究齿面摩擦对两级五分支行星齿轮传动系统分岔特性的影响,基于集中参数理论,综合考虑了齿面摩擦、时变啮合刚度及齿侧间隙等非线性因素,建立了系统非线性动力学模型。采用Runge-Kutta数值方法进行求解,分析了不同齿面摩擦因数情况下,转速和齿侧间隙对系统分岔特性的影响,并给出了分岔特性影响下的齿面摩擦因数在0和0.06时的相图和Poincaré截面图。结果表明:随着转速的增加,无齿面摩擦时系统的敏感振动区域较大,混沌现象表现明显,且随着齿面摩擦的增大,在一定程度上会增加系统的振动和噪音,但混沌现象受到抑制;随着齿侧间隙的增大,无齿面摩擦时系统的混沌现象表现明显,且随着齿面摩擦的增大,系统进入混沌的分岔点会提前,但齿面摩擦会消耗系统的能量,混沌区域逐渐减小。能够为齿轮减振降噪及动态结构稳定性优化设计提供理论依据。Based on the lumped parameter theory,anonlinear dynamic model of the system is established by comprehensively considering the nonlinear factors such as tooth surface friction,time-varying meshing stiffness and backlash in order to study the influence of tooth surface friction on the bifurcation characteristics of two-stage five branch planetary gear transmission system.The Runge-Kutta numerical method isused to solve the problem.The influences of rotational speed and backlash on the bifurcation characteristics of the system under different tooth friction coefficients areanalyzed.The phase diagram and Poincarésection diagram of the tooth friction coefficient at 0 and 0.06 aregiven.The analysis results show that with the increase of rotational speed,the sensitive vibration area of the system is enlarged without tooth surface friction,and the chaotic phenomenon is obvious.With the increase of tooth surface friction,the vibration and noise of the system will be increased to a certain extent,but the chaotic phenomenon is suppressed.With the increase of backlash,the chaotic phenomenon of the system is obvious when there is no tooth surface friction.With the increase of tooth surface friction,the bifurcation point of the system will advance,but the energy of the system will be consumedby the tooth surface friction,and the chaotic region will be gradually decreased.The results of studycan provide theoretical basis for the vibration and noise reduction and the dynamic structure stability optimization design of planetary gear transmission.

关 键 词：齿面摩擦 行星齿轮 分岔 齿侧间隙 混沌 

分 类 号：TP113.1[自动化与计算机技术—控制理论与控制工程]