大齿轮齿形测量中补偿安装偏心的理论分析

针对大齿轮齿形测量时安装偏心不易消除的特点,采用误差补偿的原理消除安装偏心产生的测量误差.分析了安装偏心与齿轮传动时啮合线增量的关系,提出了实时和非实时的误差补偿方法.实时误差补偿的核心思想是坐标变换,结合齿形的各种测量方法,给出补偿安装偏心产生的测量误差的数学模型;非实时误差补偿是在测量结束后利用计算机辅助计算补偿安装偏心产生的测量误差,推导了啮合线增量法和微分法的数学模型.实际测量时,可根据实际情况选择合适的补偿方法.

Compensation Theory Analysis of Installation Eccentricity in Measurement of Large Gear Tooth

With regard to the fact that installation eccentricity is not easily dismissed in the measurement of large gear tooth, the principle of error compensation was adopted to eliminate the measurement error generated by installation eccentricity. The relationship between installation eccentricity and meshing line increment in the gear transmission was analyzed. The real time error compensation and the non-real time error compensation are proposed. Coordinate trans- formation was the core idea of the real time error compensation. Combined with a variety of profile measurement methods, the compensation model of the measurement error generated by installation eccentricity was presented. In the non-real time error compensation, the measurement error generated by installation eccentricity was compensated by computer-aided calculation after the measurement. The error compensation models based on meshing line increment and differential were derived. In the actual measurement, the proper compensation method can be chosen according to actual condition.