啮合角变化的斜齿行星齿轮系统的动力学建模与分析  

Dynamic Modeling and Analysis of Helical Planetary Gears System with Time-varying Pressure Angles

作　　者：张捷[1,2] 廖映华[1,2] 黄波[1,2] 

机构地区：[1]四川理工学院,四川自贡643000 [2]过程装备与控制工程四川省高校重点实验室,四川自贡643000

出　　处：《四川理工学院学报（自然科学版）》2013年第4期35-39,51,共6页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：过程装备与控制工程四川省高校重点实验室基金资助项目(GKYY201105);四川省教育厅基金项目(13ZAO129)

摘　　要：当考虑轴承变形时,各齿轮中心位置将发生偏移时,从而使啮合副的啮合角发生变化。传统的行星传动系统动力学建模时,为了降低建模的复杂程度,将啮合角视为常值,因此,所建立的动力学模型不能反映啮合角和重合度变化对系统动态特性的影响。为了分析啮合角对斜齿行星传动系统动态特性的影响,采用齿轮的实际中心位置坐标表示齿轮副的啮合角,建立了一种新的啮合角变化的斜齿行星传动系统动力学模型,并利用Matlab求解计算系统的运动微分方程,得到的系统动态响应。仿真分析结果表明,啮合角变化对行星齿轮系统动态特性有明显的影响。When bearing deformation is considered, central positions of gears will be deviated from theoretical centers and the gear pairs have time-varying pressure angles. In order to reduce the complexity of the model, the pressure angles are regarded as constants in the traditional dynamic model of helical planetary gears, so it can＇t show effects of change of the pres- sure angles and contact ratio on dynamic characteristics of system. In order to analysis the effects, the pressure angles and contact ratios are denoted by practical central positions of gear pairs to establish a new dynamic model of helical planetary gears, and the differential equations of motion are computed by Matlab software, then the dynamic responses of system are obtained. The simulation results show that there is a obvious impact of time-varying pressure angles on dynamic characteristics of helical planetary gears.

关 键 词：斜齿行星齿轮系统 时变啮合角 动力学建模 动态响应 

分 类 号：TH13[机械工程—机械制造及自动化]