CAJ | 학술논문

针对数控成形磨齿机在线测量存在标定误差的问题，对标定误差对齿廓误差测量的影响进行了理论分析。首先基于广义极坐标法建立了齿廓误差评价的数学模型。其次通过数值研究发现齿廓倾斜偏差与径向标定误差和切向标定误差成线性关系且满足叠加原理。依据所得规律，提出了标定误差的辨识及补偿方法。最后在数控成形磨齿机上进行实验验证，经补偿后的测量结果与基准标准齿轮的精度基本吻合，验证了所提算法的正确性。
침대수공성형마치궤재선측량존재표정오차적문제，대표정오차대치곽오차측량적영향진행료이론분석。수선기우엄의겁좌표법건립료치곽오차평개적수학모형。기차통과수치연구발현치곽경사편차여경향표정오차화절향표정오차성선성관계차만족첩가원리。의거소득규률，제출료표정오차적변식급보상방법。최후재수공성형마치궤상진행실험험증，경보상후적측량결과여기준표준치륜적정도기본문합，험증료소제산법적정학성。
Based on the problem that calibration error existed in the on-machine measurement for CNC pro-file grinding machine, the theoretical analysis were conducted on the effects of calibration error on the meas-urement of tooth profile error. Firstly, the mathematic model of the tooth profile error evaluation was estab-lished based on the generalized polar-coordinate method. Then, by numerical study it is discovered that the profile slope deviations are in direct proportion to the radial and tangential calibration error, and their effects satisfy superposition principle. According to these laws, a algorithm of calibration error identification and compensation is proposed. Finally, experimental verifications were conducted on the CNC profile grinding machine. After compensation, the measurement results are basically matched with the accuracy of ultra-pre-cision master gear, which verify the correctness of the proposed compensation algorithm.