双啮合分度机构的固有特性分析  

Analysis on double-mesh indexing mechanism’s natural characteristics

作　　者：单鹏 刘明涛[1] 陈港[1] 李彦启[1] 刘合荣 刘启东 SHAN Peng;LIU Ming-tao;CHEN Gang;LI Yan-qi;LIU He-rong;LIU Qi-dong(School of Mechanical Engineering,Tianjin University of Science and Technology,Tianjin 300222)

机构地区：[1]天津科技大学机械工程学院,天津300222

出　　处：《机械设计》2022年第9期46-52,共7页Journal of Machine Design

摘　　要：文中以双啮合分度机构为研究对象,在综合考虑阻尼、针齿-凸轮的等效扭转刚度等非线性因素后,采用集中参数法,建立其多自由度动力学模型。通过求解模型的自由振动方程得到系统固有频率,计算了针齿-凸轮的等效扭转刚度,分析了针齿-凸轮等效扭转刚度对固有频率的影响,研究了不同惯性参数对针齿-凸轮等效扭转刚度及系统固有频率的影响,利用偏导数法分析了系统固有频率对主要部件的转动惯量和刚度的灵敏度。研究表明,所建立的动力学模型具有较高的可靠度;各阶固有频率的变化趋势和针齿-凸轮等效扭转刚度的变化趋势有关;惯性参数变化影响的是整个机构固有频率的幅值,但并不影响固有频率的变化趋势;低阶固有频率对输入轴扭转刚度、内摆线轮与针齿等效扭转刚度和内摆线轮转动惯量的灵敏度影响较大。In this article,with the double-mesh indexing mechanism as the focus,the multi-degree-of-freedom dynamics model is set up with the help of the lumped parameter method,with such non-linear factors as damping,needle teeth-cam equivalent torsional stiffness taken into consideration.The system’s natural frequency is obtained by solving the free vibration equation of the model.The equivalent torsional stiffness of the needle teeth-cam is calculated.The analysis is conducted on the influence of the equivalent torsional stiffness of the needle teeth-cam on the natural frequency.The effects of different inertia parameters on the equivalent torsional stiffness of the needle teeth-cam and the system’s natural frequency are explored.The partial derivative method is used to analyze the sensitivity of the system’s natural frequency to moment of inertia and stiffness of the main components.The results show that the dynamics model has high reliability.The variation trend of the natural frequency is related to the variation trend of the equivalent torsional stiffness of the needle teeth-cam.The variation of the inertia parameters affects the amplitude of the whole mechanism’s natural frequency,instead of the variation trend of the natural frequency.The low-order natural frequency has more significant effect on the torsional stiffness of the input shaft,the equivalent torsional stiffness of the hypocycloid wheel and the needle teeth,and the sensitivity of the hypocycloid wheel’s moment of inertia.

关 键 词：分度机构 动力学模型 固有频率 

分 类 号：TH132.47[机械工程—机械制造及自动化]