3自由度球齿轮齿盘设计与啮合分析  

Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks

作　　者：梁勇 顾鹏 高建军 张澧桐 王佰超 Liang Yong;Gu Peng;Gao Jianjun;Zhang Litong;Wang Baichao(College of Mechanical and Electric Engineering,Changchun University of Science and Technology,Changchun 130022,China;Changchun Institute of Equipment and Engineering,Changchun 130021,China;Inner Mongolia First Machinery Group Co.,Ltd.,Baotou 014032,China)

机构地区：[1]长春理工大学机电工程学院,吉林长春130022 [2]长春设备工艺研究所,吉林长春130021 [3]内蒙古第一机械集团有限公司,内蒙古包头014032

出　　处：《机械传动》2024年第11期86-91,共6页Journal of Mechanical Transmission

摘　　要：提出一种与球齿轮啮合的3自由度齿盘结构,该齿盘由两个环形齿条齿面和两个弧形齿面组成,能够实现平面和球面之间运动和动力的转换,且理论上没有传动误差。根据球齿轮齿盘的啮合原理,利用空间变换理论,推导出齿盘的齿面方程和啮合方程;根据齿盘结构特点,由球齿轮和齿盘弧形齿的正确啮合条件推导出与球齿轮啮合时齿盘每一层的齿数,并对球齿轮-齿盘结构进行了运动学仿真,计算了齿盘各层啮合时的啮合效率。验证说明,球齿轮-齿盘结构能够稳定地传递动力。齿盘的参数化设计提供了一种能实现平面和球面之间运动和动力转换的结构。A ring rack meshing with a 3-DOF spherical gear was proposed.The ring rack was composed of two ring-shaped rack tooth surfaces and two spherical tooth surfaces.It can realize the movement and rotation between the plane and the sphere,and theoretically there is no transmission error.According to the meshing principle of the spherical gear and the ring rack,the tooth surface equation and the meshing equation of the ring rack were deduced by using the space transformation theory.Then,according to the structural characteristics of the ring rack,the number of teeth of each layer of the ring rack when meshing with the spherical gear was deduced from the correct meshing conditions of the spherical gear and the arc-shaped teeth of the ring rack.Finally,the kinematics simulation of the ring rack and the meshing efficiency of each layer of the ring rack were calculated,which verified that the structure can transmit power stably.The parametric design of the ring rack provides a structure that enables the conversion of motion and power between the plane and the sphere.

关 键 词：齿盘 啮合方程 共轭齿面 齿数 运动学仿真 

分 类 号：TH132.41[机械工程—机械制造及自动化]