抄録
Exact analytical solutions of transmission errors with eccentricities of involute cylindrical gears are proposed. Analytical equations to obtain transmission errors with eccentricities are derived shortly. The influence of the center distance errors, the ratio of eccentricities and phase differences is investigated under no load. In addition, transmission errors including eccentricities of a pair of spur gear are measured under no loading condition. The results show that the measured and calculated transmission errors agree with each other and the analysis is verified accurately. The influence of center distance errors is so little as to be neglected comparing to the amount of transmission errors. The sum of eccentricities is related to the peak-to-valley value of transmission errors and the ratio of eccentricities is related to waveforms of transmission error curves. Phase difference of eccentricities has a little influence on transmission errors, but it is not negligible comparing to the amount of transmission error caused by tooth flank topography and tooth deflections. For further applications, the analysis can be used to remove waviness from transmission error curves as the filtering technique.
