摘要
为进一步开展内啮合曲线构型齿轮的性能测试与实际应用,提出内啮合曲线构型齿轮成形磨削砂轮廓形设计方法。采用牛顿迭代法推导齿轮齿面成形磨削过程的接触条件式;分别建立磨削砂轮与小齿轮、内齿轮的空间坐标变换关系,通过对接触线的坐标关系求解得到砂轮的轴向廓形,基于实际加工情况讨论不同砂轮直径对砂轮廓形轴向宽度的影响;为提高砂轮设计加工的效率,基于MATLAB GUI模块编制成形磨削砂轮轴向廓形辅助设计软件,并通过改进的截线式算法对成形磨削仿真后的端面齿形进行误差分析,验证所设计砂轮廓形的正确性,相关结论为后续内啮合曲线构型齿轮的工程应用奠定理论基础。
In order to further carry out the performance test and the practical application of internal meshing gears with curve configuration,efforts are made to design the form grinding wheel for internal meshing gears with curve configuration.Firstly,the Newton’s iterative method is used to derive the equation of the contact condition during the process of form grinding.Then,the spatial coordinate transformation relationships between the grinding wheel and the small and internal gears are identified;the grinding wheel’s axial profile is obtained through the coordinate relationship of the contact line.Based on actual processing,the effect of different grinding wheel diameters on the grinding wheel’s axial width are discussed.To improve the efficiency in desig-ning and processing,with the help of the MATLAB GUI modular,an auxiliary design software is developed to calculate the grind-ing wheel’s axial profile.Also,an improved transversal algorithm is proposed to analyze the error of the tooth profile after form grinding simulation;the results show that the grinding wheel is correct.The related conclusions lay a theoretical foundation for subsequent engineering application of internal meshing gears with curve configuration.
作者
梁栋
郝宁达
徐向阳
何泽银
陈永鹏
LIANG Dong;HAO Ningda;XU Xiangyang;HE Zeyin;CHEN Yongpeng(School of Mechatronics and Vehicle Engineering,Chongqing Jiaotong University,Chongqing 400074)
出处
《机械设计》
北大核心
2025年第9期48-56,共9页
Journal of Machine Design
关键词
内啮合
曲线构型齿轮
砂轮廓形
成形磨削
误差分析
internal meshing
gear with curve configuration
profile design of grinding wheel
form grinding
error analysis
