点啮合齿面安装误差敏感性的定量评价方法  

Quantitative analysis of sensitivity of point-contact tooth surface meshing characteristics to gears mounting errors

作　　者：周凯红[1,2] 唐进元[1] 李淑[2] 

机构地区：[1]现代复杂装备设计与极端制造教育部重点实验室,中南大学机电工程学院,湖南长沙410075 [2]桂林航天工业高等专科学校机械系,广西桂林541004

出　　处：《铁道科学与工程学报》2009年第4期82-86,共5页Journal of Railway Science and Engineering

基　　金：国家重点基础研究发展计划(973计划)项目(2005CB724100);国家自然科学基金资助项目(50875263)

摘　　要：针对以往同类研究中点啮合齿面安装误差的敏感性没有综合定量评价方法的不足,提出了一种定量评价齿面啮合特性对齿轮安装位置误差的敏感性的方法,其步骤为:利用矢量的齐次坐标矩阵和齐次坐标方阵表达啮合问题中啮合点在不同坐标系之间的变换关系;通过求解啮合方程对安装位置参数的全微分,推导关于齿面啮合点的位置误差与齿轮安装位置误差的线性方程组;由该线性方程组系数矩阵的条件数来定量评价齿面啮合点的位置误差对齿轮安装位置误差的敏感性。最后,通过实例说明所提出的方法在齿面设计中的应用。According to the deficiency of the previous study on sensitivity of point - contact tooth surface meshing characteristics to mounting errors, a new method of quantitative analysis on sensitivity of point - contact tooth sur- face meshing characteristics to mounting errors was presented, the procedures were as follows： Representing co- ordinate transformation of the contact point in the theory of meshing with the homogeneous coordinates; Deriving linear equations related to the position errors of the contact point on the tooth surface and the mounting errors from calculating total differential of equations of meshing; Evaluating sensitivity of gears mounting errors to con- tact point position errors; Illustrating the developed method with numerical examples.

关 键 词：点接触齿面 误差敏感性 齐次坐标 条件数 

分 类 号：TG156[金属学及工艺—热处理]