修磨机格里森弧齿锥齿轮有/无接触模态分析  

Modal Analysis of Gleason Spiral Bevel Gear with or without Contact in Grinding Machine

作　　者：张启升[1] 李瑞琴[1] 梁晶晶[1] ZHANG Qi-sheng;LI Rui-qin;LIANG Jing-jing(School of Mechanical Engineering,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学机械工程学院,太原030051

出　　处：《科学技术与工程》2022年第30期13301-13307,共7页Science Technology and Engineering

基　　金：山西省重点研发计划(国际科技合作)项目(201803D421027,201903D421051)。

摘　　要：磨头是磨床的核心部件,其壳体及轴承、齿轮等内部零件的工作状态受坯料表面冲击的影响很大。为了保证磨头保持稳定的工作状态,必须考虑内部齿轮接触冲击和外部冲击的影响。首先确定了螺旋锥齿轮的主要参数,建立了弧齿锥齿轮的二维模和三维模型,并根据一定的规则对模型进行了简化。最后,得到了弧齿锥齿轮振动模态和固有频率的前10阶自由模态,并得到了前6阶接触模态的振型和固有频率,分析了有接触和无接触两种情形下对齿轮模态的影响。结果表明,接触模态的固有频率比自由模态略有提高,且各阶振型相似。弧齿锥齿轮的应力和变形主要集中在接触区域,其次是齿根区域的压缩侧和张紧侧,最大应力发生在较小齿轮啮合开始进入齿根时刻。Grinding head is the core component of a grinding machine,The working state of its shell,bearing,gear and other internal parts is greatly affected by the impact of blank surface.In order to keep the grinding head in a stable working state,the effects of internal gear contact impact and external impact must be considered.Firstly,the main parameters of the spiral bevel gear was determined,and the two-dimensional model and the three-dimensional model of the spiral bevel gear was established.and the model was simplified according to certain rules.Finally,the first ten free modes of the vibration mode and natural frequencies of the spiral bevel gear were obtained,and the vibration modes and the natural frequencies of the first six contact modes were obtained.The influence of contact and non-contact on the gear mode was analyzed.The results show that the natural frequency of the contact mode is slightly higher than that of the free mode,and the modes are similar.The stress and deformation of the spiral bevel gears are mainly concentrated in the contact region,followed by the compression side and the tension side of the tooth root region,and the maximum stress occurs at the moment when the smaller gear meshing begins to enter the tooth root.

关 键 词：弧齿锥齿轮 有限元分析 固有频率 模态分析 接触应力 

分 类 号：TH113.1[机械工程—机械设计及理论]