直齿锥齿轮啮合刚度计算方法研究  

Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear

作　　者：陈思宇 谭儒龙 郭晓东 Chen Siyu;Tan Rulong;Guo Xiaodong(School of Mechanical Engineering,Chongqing University of Technology,Chongqing 400054,China)

机构地区：[1]重庆理工大学机械工程学院,重庆400054

出　　处：《机械传动》2021年第9期62-67,共6页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51805060);重庆理工大学科研启动基金国家重点研发计划项目(2018YFB2001700);齿轮传动数字化设计分析与数据平台。

摘　　要：针对直齿锥齿轮啮合刚度的计算问题,将其齿形转换成齿宽中点处的当量直齿圆柱齿形,再把当量齿轮的轮齿简化为齿根圆上的悬臂梁,通过能量法计算分析了单齿啮合刚度;基于位移容差的原理,进一步提出了齿轮时变啮合刚度计算模型;将其与有限元计算结果对比,并分析误差来源,完成了计算方法的验证。文中提出的计算方法不仅进一步丰富和发展了齿轮刚度的计算理论,对齿轮动力学的研究也具有重要意义。Aiming at the calculation problem of straight bevel gear meshing stiffness,to convert the tooth to tooth width of midpoint equivalent straight tooth cylindrical gear,then the equivalent of the gear tooth is simplified to the cantilever beam on the dedendum circle,through the energy method,the single tooth meshing stiffness is calculated the analyzed.Based on the principle of displacement tolerance further gear time-varying meshing stiffness calculation model is put forward.Compared with the finite element results,and the source of the error is analyzed,the verification of the calculation method is completed.The proposed calculation method not only enriches and develops the calculation theory of gear stiffness,but also has important significance to the study of gear dynamics.

关 键 词：直齿锥齿轮 当量直齿圆柱齿轮 单齿啮合刚度 能量法 时变啮合刚度 有限元法 

分 类 号：TH132.41[机械工程—机械制造及自动化]