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齿廓误差是齿轮重要的单项误差之一,随着坐标测量机在齿轮测量中的广泛应用,直角坐标测量法在齿轮误差测量中的应用也越来越广。以齿廓误差为研究对象,针对直角坐标系下的齿廓误差测量及评定方法进行了系统研究。从齿轮工件坐标系的建立、齿廓测量路径的规划到齿廓误差的评定的完整过程进行了系统介绍,详细分析了几何法齿廓误差评定方法、公式法齿廓误差评定方法以及滑动法齿廓误差评定方法的实现原理,并比较了三种评定方法的算法精度与效率。实验结果表明,在算法精度方面,三种齿廓误差评定方法算法计算精度都达1×10~(-14)量级;测量效率方面,50万齿廓测量点误差评定条件下,几何法齿廓误差评定方法算法效率最低,公式法齿廓误差评定方法效率最高,效率比达94倍。因此在实际应用中建议采用公式法齿廓误差评定方法。
Tooth profile error is one of the important single error of gear. With the wide application of CMM in gear measurement, the application of Cartesian coordinate measuring method in gear error measurement is more and more widely. Taking the tooth profile error as the research object, a systematic study was made on the measurement and evaluation of the tooth profile error in Cartesian coordinate system. The establishment of the gear workpiece coordinate system, the planning of the tooth profile measurement path and the complete process of the evaluation of the tooth profile error were introduced systematically. The method of evaluating the tooth profile error of the geometrical method, Contour error assessment method to achieve the principle, and compared the accuracy and efficiency of the three assessment methods. The experimental results show that in the aspect of algorithm accuracy, the accuracy of the three methods of tooth profile error evaluation reaches 1 × 10 ~ (-14). In terms of measurement efficiency, with the error of 500,000 tooth profile measurement points, The method of profile error assessment has the lowest efficiency, the formula method of tooth profile error assessment has the highest efficiency, the efficiency ratio reaches 94 times. Therefore, the practical application of the proposed formula method of assessing the profile error.