大规格齿轮齿向偏差的扫描式集成在机测量方法
Study on Methodology of Integrated On-machine Measurement for Lead Errors of Large-scale Gear with Scanning Probe

提出一种基于扫描式测头的集成在机测量方法。基于多体系统理论，建立机床运动功能模型；依据探针与齿轮齿面的接触关系，应用齐次坐标变换方法建立渐开线螺旋曲面的测量模型；以被测特征廓形创成运动为约束条件，构造齿面被测特征与机床伺服运动之间的映射关系，得到测量齿面被测特征所需的各伺服轴运动量；采用小波变换方法剔除了齿面粗糙度、机床伺服系统振动干扰等各种测量过程中的噪声信号，合理有效地提取被测齿轮齿向线的加工轮廓细节特征。以YK73系列数控成型砂轮磨齿机测量斜齿圆柱齿轮齿向偏差为例，进行了在机测量实验。实验表明，在机测量结果与齿轮量仪的计量结果保持了较好的一致性，验证了本文方法可行有效、精度高。
In order to realize the on-machine measurement (OMM) of lead errors of large-scale gear with high efficiency and high precision, an integrated OMM method based on scanning probe is proposed. The movement function model of machine tool is established in accordance with the multi-body system theory. According to the contact relationship between the probe and the measured feature of the tooth surface, the measuring model of the involute spiral surface is built by the homogeneous coordinate transformation method. Under the constraint condition of motion generation for tooth surface the functional equations between the measured feature of the tooth surface and the servo motion of the machine tool is deduced, which are solved to obtain the motion quantity of each servo axis to implement measurement path. To describe the finely detailed features of tooth curve precisely, the noise signal of the detected data such as vibration disturbance of machine tool servo system, surface roughness of measured gear, etc. are eliminated using wavelet transfer method. The OMM experiment of the tooth deviation of helical gear is carried out on an YK73 series CNC gear forming grinding machine. The experimental results show that the measurement results are in good agreement with the measurement results of the gear metering center, and the feasibility, effectiveness and high accuracy of the presented method is proved