多自由度弧面分度凸轮机构动力学研究  

Dynamic Research on Multi Degree of Freedom Globoidal Indexing Cam Mechanism

作　　者：贲晨阳 何雪明 刘超 BEN Chenyang;HE Xueming;LIU Chao(School of Mechanical Engineering,Jiangnan University,Wuxi,Jiangsu 214122,China;Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology,Jiangnan University,Wuxi,Jiangsu 214122,China)

机构地区：[1]江南大学机械工程学院,江苏无锡214122 [2]江南大学江苏省食品先进制造装备技术重点实验室,江苏无锡214122

出　　处：《轻工机械》2022年第3期36-42,共7页Light Industry Machinery

基　　金：国家自然科学基金资助项目(51275210);国家自然科学基金资助项目(51975251);江苏省食品先进制造装备技术重点实验室自主研究课题资助项目(FMZ2018Y2)。

摘　　要：为解决对真实的弧面分度凸轮机构进行动力学响应分析困难的问题,课题组建立了11自由度等效动力学模型来模拟弧面分度凸轮机构的实际情况。推导出有11个等式的动力学方程组,线性化处理后,得到时变线性系统的微分方程组;应用威尔逊-θ法对变系数微分方程进行求解,得出机构的固有频率,并对转速区间进行划分;分析了不同转速下机构载荷盘角加速度的动力学响应。结果表明:随着输入轴转速的不断提高,载荷盘的角加速度响应的增长趋势趋于显著。In order to solve the problem of difficult dynamic response analysis of real globoidal indexing cam mechanism,11 DOF equivalent dynamic model was established to simulate the actual situation of globoidal indexing cam mechanism,and the dynamic equations with 11 equations were derived.After linearization,the differential equations of the time-varying linear system were obtained.Differential equations with variable coefficients was sloved and the natural frequency of the mechanism was obtained by Wilson-θmethod,and the speed range was divided.The dynamic response of the angular acceleration of the mechanism load plate at different speeds was analyzed.The results show that with the continuous increase of the input shaft speed,the increasing trend of the angular acceleration response of the load plate tends to be significant.

关 键 词：弧面分度凸轮机构 自由度 威尔逊-θ法 固有频率 动力学响应 

分 类 号：TH112.2[机械工程—机械设计及理论]