齿轮误差多自由度理论  

Multi-degrees of Freedom Theory for Gear Deviation

作　　者：石照耀[1] 林虎[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《机械工程学报》2014年第1期55-60,共6页Journal of Mechanical Engineering

基　　金：国家科技重大专项资助项目(2010ZX04014-091)

摘　　要：目前,对齿轮齿面开展三维拓扑测量已成为研究热点,但对齿面空间误差理论分析还未引起足够重视。基于运动学原理,对齿面空间多自由度进行分析并参数化,完成齿面多自由度表征。通过对齿面综合误差分解为0阶、1阶和高阶误差,分析各阶误差与齿面自由度的关系,指出误差的产生实质是齿面存在未受约束的自由度,为齿面误差评定建立了理论基础。基于上述误差多自由度理论,提出通过齿面正交距离回归求解齿面自由度参数,进而建立多自由度齿面实现齿轮各项误差多自由度评定的方法。应用该方法对一右旋斜齿轮进行误差测量和评定,测量分别采用特征线测量方式和拓扑方式,评定结果验证了齿轮误差多自由度理论和基于多自由度回归齿面评定误差方法的正确性,为齿轮整体质量检测提供了理论基础和技术手段。Currently, three dimensions topographic measurement for gear surface is becoming the research focus. However, the analysis is still not enough on theory of gear surface deviation. Based on the kinematic principle, the degrees of freedom （DOF） of gear surface are analyzed and parameterized. By this way, the gear surface is illustrated with multi-degrees of freedom （M-DOF）. The gear surface deviations are separated into 0th, 1 st and high order deviations, and then the relationship between each order deviation and the DOF of gear surface is analyzed, showing that the gear deviation arised from the unconstraint DOF of gear surface. The analysis sets up the theoretic foundation for evaluation of gear deviation. An evaluation method is developed for gear deviation base on above M-DOF theory, before evaluation, the DOF parameters need to be determined by orthogonal distance regression and then the corresponding M-DOF gear surface can be attained. An inspection and a evaluation are carried out for a right hand helical gear, inspection manners used include characterized curve inspection and topographic inspection, results of evaluation verify the validity of M-DOF theory for gear deviation and the evaluation method based on M-DOF regression gear surface, providing the theory foundation and technique method for gear holistic quality inspection.

关 键 词：齿轮 齿轮误差 齿轮测量 误差评定 

分 类 号：TH71[机械工程—测试计量技术及仪器]