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Angle measurement error, probe indication error, probe radial feed position error, tooth profile error, measurement error of eccentric amplitude and measurement error of eccentric phase angle. Among them, the angle error, the probe indication error and the probe radial feed position error also exist in the unbiased state. The error factors introduced by the eccentricity are: tooth shape error, measurement error of eccentric amplitude and eccentric phase angle. Measurement error.
If it is known that a gear modulus m is 16, the number of teeth z is 50, and the pressure angle is 20, the allowable value of the cumulative total deviation of the pitch is 40 m when the gear reaches the accuracy of 4 degrees. Considering the amplitude measurement error, phase angle The combined influence of measurement error and other unknown errors, the cumulative total deviation of the pitch caused by the amplitude measurement error is 40/4=10m. Calculated by equation (8), e=47m. Therefore, when the gear is eccentrically measured The measurement error of the eccentric amplitude is 4.7m.
It is known that when the measurement error of the phase angle is 180, the measured eccentricity is exactly opposite to the actual eccentricity direction. The difference between the actual eccentricity and the measured eccentricity is twice the actual eccentricity e, indicating that the compensation is reversed, causing a larger error. For the gears of the same parameters described above, the cumulative total deviation of the pitch caused by the measurement error of the eccentric phase angle is allowed to be 40/4 = 10 m.
When the gear mounting eccentricity is 3 mm, 0 = 3.2 is calculated by the equation (11). Therefore, when the mounting eccentricity of the gear is measured, the eccentric phase angle measurement error is allowed to be 3.2.
Conclusion When we add machining or measurement functions to eccentric machines on CNC machine tools or gear measuring equipment, we must pay attention to the means of measuring eccentricity and the accuracy of measurement results. If the mechanical eccentricity is used to measure the eccentricity and the result is compensated, it is difficult to guarantee the accuracy of the four-stage. The measurement of the eccentric phase angle is difficult to measure by manual methods. Therefore, a special eccentricity measurement program should be developed to accurately measure the amplitude and phase angle of the eccentric using the grating and sensor on the device.