关键词: 数控插齿机, 齐次坐标变换, 误差建模, 误差补偿, 解耦

Abstract:

In order to improve the machining accuracy of a CNC gear shaper,the errors should be compensated. The motion characteristics of the CNC gear shaper were analyzed and a motion model was created. The error model of tool related to the part was established with the homogeneous transformation matrix. Couples effects exited between the joint variables and position/orientation of the cutting points. Adjusting one joint usually resulted in changes in multiple components in the tool-part relation. A volumetric error compensation model was created by coupling the error compensation motions based on the rigid body kinematics with small error assumption and coordinate transformation method. Finally,the position and orientation compensation values of the joint variables can be obtained with the model, which gives the theoretical basis of the error compensation for the machine.

Key words: CNC gear shaper, homogeneous coordinate transformation;error modeling, error compensation;decoupling