一种无侧隙的锥形线齿轮齿面构建方法  

A Method of Constructing Tooth Surface Without Backlash for Conical Line Gear

作　　者：何恩义 何迪 吴海华 杜义贤 叶喜葱 He Enyi;He Di;Wu Haihua;Du Yixian;Ye Xicong(College of Mechanical and Power Engineering,China Three Gorges University,Yichang 443002,China)

机构地区：[1]三峡大学机械与动力学院,湖北宜昌443002

出　　处：《机械传动》2020年第6期44-47,共4页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51175180);湖北省教育厅科学研究计划优秀中青年人才项目(Z2018118)。

摘　　要：基于空间曲线啮合原理,研究一种无侧隙的锥形线齿轮机构。以圆锥螺旋线作主动齿轮接触线,根据共轭曲线啮合理论,求解与之共轭的从动接触线。建立通过接触点且垂直于主动轮角速度方向的凹凸接触的无侧隙圆截面,并根据截面参数求解主、从动轮的中心线方程。以圆截面沿着中心线扫描构建无侧隙的凹凸接触齿面。共轭的接触线存在于所构建的空间曲面上,并根据截面圆半径和端面圆锥周长讨论极限齿数存在的情况。根据齿面方程建立三维模型并进行运动学仿真实验。实验结果表明,通过该方法构建的锥形线齿轮机构能够以设计的传动比实现平稳传动过程。在线齿轮啮合方程的基础上,提出一种新型锥形线齿轮齿面构建方法,为正交轴齿轮传动提供了新的解决方案。Based on space curve meshing theory, a conical Line Gear(LG) mechanism without backlash is studied. A conical helix is selected as the driving contact line, and the driven contact line which conjugated with driving contact line is solved by the LG meshing theory. The concave-convex contact circular section, which is via contact point and perpendicular to the direction of angular velocity of the driving gear is established without backlash. The concave-convex tooth surfaces without backlash can be constructed by scanning the circular section along the center lines. Therefore, conjugate contact lines lie on the constructed tooth surfaces. The maximum number of teeth is discussed on the basis of the radius of section circle and the circumference of end cone.According to tooth surface equations, a 3-D model is established and kinematics simulation experiment is carried out. The result shows that the conical LG constructed by this method can realize the smooth transmission process with the designed transmission ratio. Based on meshing equation of LG, a method for constructing the tooth surface of novel conical LG is proposed, which provides a new solution for the orthogonal axis gear transmission.

关 键 词：空间曲线啮合原理 线齿轮 圆截面 无侧隙齿面 

分 类 号：TH132.41[机械工程—机械制造及自动化]