齿面摩擦对船用人字齿轮弯扭轴摆耦合非线性幅频特性的影响  

Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear

作　　者：张颢秦 董皓[1] 王理邦 赵晓龙[1] Zhang Haoqin;Dong Hao;Wang Libang;Zhao Xiaolong(School of Mechatronic Engineering,Xi'an Technological University,Xi'an 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：《机械传动》2022年第5期9-16,61,共9页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51705390);陕西省创新能力支撑计划(2020KJXX-016);陕西省教育厅科研计划项目(20JC015);陕西省自然科学基金(2021JM-428)。

摘　　要：为了更加精确地分析船用人字齿轮传动系统的非线性幅频特性,综合考虑齿面摩擦、时变啮合刚度、齿侧间隙、综合传动误差、外载激励以及中间轴段与弹性支撑等因素,采用集中质量参数法,建立了24自由度船用人字齿轮传动系统的弯-扭-轴-摆耦合非线性动力学模型,推导了系统的非线性动态微分方程。模型中采用弹流润滑理论,计算了齿面摩擦因数、摩擦力及摩擦力矩;采用Runge-Kutta数值法对微分方程进行求解,获得了齿面摩擦影响下的无量纲频率系统相图及时间历程图,分析了齿面摩擦对系统非线性频响特性的影响。结果表明,齿面摩擦抑制了人字齿轮副沿啮合线方向的振动,但不改变齿轮的啮合状态;在频率0~0.89的低频段及频率1.42~2的高频段,齿面摩擦对振动幅值的阻尼作用不可忽略,在无量纲啮合频率0.95~1.23的非稳态共振区,齿面摩擦的阻尼作用并不明显。为船用人字齿轮减振降噪性能的研究提供了理论依据。In order to analyze the nonlinear amplitude frequency characteristics of marine herringbone gear transmission system more accurately,the factors such as tooth surface friction,time-varying meshing stiffness,backlash,comprehensive transmission error,external load excitation,intermediate shaft section and elastic support are comprehensively considered,a bending torsional axial pendular nonlinear dynamics model of 24-DOF marine herringbone gear transmission system is established based on the lumped mass parameter method,and the nonlinear dynamic differential equations of the system are derived.In the model,the friction coefficient,friction force and friction moment are calculated by using the elastohydrodynamic lubrication theory.The Runge-Kutta numerical method is used to solve the differential equation.The phase diagram and time history diagram of the non-dimensional frequency system under the influence of tooth surface friction are obtained.The influence of tooth surface friction on the nonlinear frequency response characteristics of the system is analyzed.The results show that the tooth surface friction suppresses the vibration of the herringbone gear pair along the meshing line,but does not change the meshing state of the gear;in different meshing frequency range,low frequency range of 0~0.89 and high frequency range of 1.42~2,the damping effect of tooth surface friction on vibration amplitude cannot be ignored.In the non-stationary resonance range of dimensionless meshing frequency of 0.95~1.23,the damping effect of tooth surface friction is not obvious.It provides a theoretical basis for the study of vibration and noise reduction performance of herringbone gears.

关 键 词：人字齿轮 齿面摩擦 非线性 弯扭轴摆 幅频 

分 类 号：TH132.41[机械工程—机械制造及自动化]