摘要
斜齿行星传动在高速重载场合中应用越来越广泛,其动载特性研究对减振降噪具有重要意义。正确地描述行星齿轮系统的啮合刚度和啮合误差是进行动力学分析的前提。为此,紧密结合齿轮几何分析与力学分析,提出行星齿轮承载接触分析技术,获得各齿轮副的耦合时变啮合刚度,并计算其啮合冲击力,为行星齿轮动力学深入分析奠定基础;其次,应用集中参数法建立考虑齿轮副安装误差、刚度激励及啮合冲击激励的斜齿行星传动啮合型弯–扭–轴动力学模型,采用数值法求解系统的动载特性。结果表明:考虑啮合冲击激励时,随转速的增加动载荷增加更为明显;共振转速附近,啮合冲击对动态啮合力的影响较小;安装误差特别是中心距误差是引起各齿轮副啮合刚度不同的主要原因,其进一步导致了系统的共振转速变多;行星轮浮动可以明显降低共振转速处的动载荷,由于各外(内)齿轮副刚度的不同,随转速的增加行星轮浮动使得部分齿轮副的动态啮合力明显降低。
With the wide use of helical planetary gears in the case of high-speed and heavy loads,the study of dynamic loads characteristics become great significance for reduction vibration and noises.Firstly,correctly describing meshing stiffness and meshing error of planetary gear was the top priority of dynamic analysis,so an approach of loaded tooth contact analysis for planetary gears(PLTCA)combining gear geometry analysis and mechanical analysis of tooth was proposed to calculate meshing stiffness of gears and corner meshing impact,which was prepared for further analysis of planetary gear dynamics.Secondly,considering time-varying meshing stiffness and corner meshing impact excitation,a lumped-parameter planetary gear model was established and forces responses were got by solving the dynamic equations with numerical method.The results showed that the dynamical meshing forces increase remarkably with the speed increase except resonance speed.Besides,installation error,especially the center distance error,is responsible for the difference in value of meshing stiffness,and lead to the more resonance speeds,furthermore.With floating planetary gear,the dynamic forces are reduced at the resonant speeds,and the dynamic meshing force of some gears are obviously reduced with increasing speeds due to the differences in value of meshing stiffness.
作者
蒋进科
方宗德
刘红梅
JIANG Jinke;FANG Zongde;LIU Hongmei(Key Lab.of Automotive Transportation Safety Techniques of Ministry of Transport,School of Automotive,Chang’an Univ.,Xi’an 710064,China;School of Mechanical Eng.,Northwestern Polytechnical Univ.,Xi’an 710072,China)
出处
《工程科学与技术》
EI
CAS
CSCD
北大核心
2020年第1期161-167,共7页
Advanced Engineering Sciences
基金
中央高校基本科研项目（300102228103）
陕西省自然科学研究计划项目（2018JM5089)
关键词
斜行星齿轮
动载荷
承载接触分析
啮合冲击
啮合刚度
均载系数
helical planetary gear
dynamical force
loaded tooth contact analysis
corner meshing impact
meshing stiffness
load sharing coefficient
