# Numerical results of differential eccentric gear based on unequal division model

Programmed and calculated under Matlab, when the number of coordinate points of involute working tooth profile of reference tooth is 5000 points, the distance control value d0 can be set to be less than or equal to 0.01 mm, the coordinate control accuracy of meshing point search can reach 0.001 mm, and the angle error accuracy can reach 0.001 °.

Figure 2 and figure 3 show the calculation results when the axial distance is 34.3 mm and the eccentricity is 0.104 3. Figure 2a and figure 3A show the eccentric gear transmission state under the angular relationship of the bisection model. The working tooth profile has the phenomenon of intersection or separation, which is not in line with the actual situation of transmission. Fig. 2B and Fig. 3B show the eccentric gear transmission state under the angular relationship of the unequal division model, correct the intersection or separation of the working tooth profile of the paired teeth under the equal division model, and obtain the actual state of single and double tooth meshing.

When the axial distance a is 34.3 mm and the eccentricity ε At the same time, the angle error of the driven gear Δφ 12. The variation curve with the driving gear angle is shown in Figure 4.

Angle error Δφ The amplitude of 12 increases with the increase of eccentricity, and the first half cycle and the second half cycle of gear rotation Δφ 12 approximately symmetrical about the 180 ° position. With the increase of eccentricity, Δφ 12 changes from negative to positive and negative. The reason for the rotation angle error is that the intersection of the geometric center distance of the eccentric gear and the internal common tangent of its two base circles is not always divided into two segments. The calculation shows that the ratio of the two segments changes from 0.999 695 to 1.000 347 with the rotation angle of the driving wheel.

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