Analysis of Spur Gear Meshing Variance

Because the range method cannot derive the contribution of each factor to the evaluation index, it is also necessary to use ANOVA for significance testing. According to the orthogonal test simulation data, the variance data of the evaluation index of angular acceleration can be calculated, as shown in the table.

FactorFreedomSum of squares of deviationsVarianceF-valueFaSignificanceContribution rate/%
A (groove width a1)21.71×10^48 5501.770.13
B (side gap a2)21.15×10^75.75×10^61 189F0. 05(2,2)=19. 0**85.84
C (small hole diameter a3)21.87×10^69.35×10^5193.4F0. 1(2,2)=9. 0**13.96
Error29.67×10^34 8350.07
Total81.34×10^7100

From the table, it can be seen that the groove width a1 of spur gears is a non significant factor, while both the side clearance a2 and the small hole diameter a3 are significant factors, and the significance of the side clearance a2 is much greater than the significance of the small hole diameter a3. The diagonal acceleration contribution rate of the groove width a1 is 0 13%, the diagonal acceleration contribution rate of the side gap a2 is 85 84%, and the contribution rate of the angular acceleration of the aperture diameter a3 is 13. 5% 96%。 The sequence of variance analysis contribution rates agrees with the primary and secondary order of each factor obtained from range analysis on evaluation indicators, confirming the results of the above range analysis.

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