修形斜齿轮啮合性质及误差影响分析  

Analysis of modified helical gear meshing characteristics and error influence

作　　者：尚振国[1] 王德伦[1] 

机构地区：[1]大连理工大学机械工程学院,辽宁大连116024

出　　处：《大连理工大学学报》2011年第3期368-374,共7页Journal of Dalian University of Technology

基　　金："八六三"国家高技术发展计划资助项目(2006AA04Z101)

摘　　要：将制造安装误差和齿面修形引入齿轮传动坐标系统,建立了修形斜齿轮的齿面方程,通过坐标变换矩阵,将固连于齿轮上的动坐标系中的齿面方程转换到固连于机架上的固定坐标系中,建立了满足连续相切接触条件的啮合方程.通过调用Matlab有约束非线性优化函数将啮合方程的求解问题转化为两齿面间距离最短及单位法向量偏差最小的优化问题,分析了多种修形方式及制造安装误差对修形斜齿轮接触轨迹和传递误差的影响.分析结果表明,所提的修形方式可以改善轮齿啮合状态,对制造安装误差具有较好的适应性.Misalignment and gear modification were introduced to gear transmission coordinate system and tooth surface equations of the modified helical gears were established in the movable coordinate systems that were rigidly connected to the gears.The meshing equation was obtained by applying coordinate transformation matrix from the movable coordinate systems to the fixed coordinate system that was rigidly connected to the frame.The equation of meshing was presented to meet the condition of continuous tangency.The minimization of distance between tooth surfaces combined with deviation between unit normal vectors to tooth surfaces was performed to obtain the results of the equation of meshing by application of a constrained nonlinear optimization function in Matlab.The influence of the combination of the various modification style and misalignment on the contact path and transmission error was investigated.The presented results highlight that the modification pattern proposed can improve the tooth meshing condition and the adaptability to the misalignment.

关 键 词：齿轮修形 齿面方程 接触迹线 传递误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]