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If the cycloid profile is an equidistant curve of a complete short epicycloid, there will be no tooth overlap interference between them. However, the toothed arc radius R of the multi-toothed cycloidal gear pump is larger than the minimum radius of curvature of the short outer wobble line, and the dovetail angle appears on the equidistant curve of the short epicycloid. In the figure, points f and g are points where the radius of curvature is equal to zero, and the point is the intersection of the two curves. As a tooth profile entity, the enclosed area does not actually exist. When the point is used as the limit point of the radius of the top circle of the cycloidal wheel, there will be no overlap of the tooth profile. In fact, the tooth radius of the cycloidal wheel can be made larger when the tooth profile is selected. The point corresponds to the radius r. At this time, it is possible to generate tooth-tooth overlap interference between the tooth tip of the cycloidal wheel and the arc tooth profile.
Since the arc of the meshing is only a part of the entire toothed circle, and the cross cusp of the arc across the arc is removed, the tooth profile can be avoided by appropriately selecting the generative coefficient k, the arc diameter coefficient h and the tip circle radius. Interference phenomenon. Conditions for no tooth overlap interference When selecting the basic parameters of the cycloid pump, the designed cycloid pump should avoid the tooth profile overlap interference, and the designed tooth profile must be tested according to the design parameters. According to the analysis in the previous section, the following two conditions are used to discuss the conditions that do not cause tooth overlap interference.
The interference condition is not overlapped. If the radius of the addendum circle of the cycloidal wheel is ar, the radius r of the circumference of the point is not exceeded. , there will be no tooth overlap interference. That is to satisfy the condition ra, falling r. (1) Point C is the intersection of two segments of the same curve. Since the equation of the equidistance curve of the short outer wobble is more complicated, it is very complicated to directly solve the nonlinear equations, and the intersection can be directly obtained by numerical calculation. If the conditional expression is not satisfied, the crown radius arr of the cycloidal wheel exceeds the radius r. of the circumference of the fulcrum, and the possibility of tooth overlap interference is greater. The tooth overlap interference must be checked according to the meshing motion. The two wheels rotate counterclockwise, and the tooth top circle of the two wheels intersects at the point. When the two wheels turn through the k point, the teeth will completely disengage. Therefore, the phenomenon of tooth profile overlap interference in two rounds can only occur before the point.