Approximate fitting and numerical control machining of elliptical gears

Oval gears are widely used in the automatic machinery and instrumentation industries and are one type of non-circular gears. If strictly required, the elliptical gear can only be correctly manufactured on the CNC gear shaping machine, but the CNC gear shaping machine is very rare. In the case of small batch size, the elliptical gear is fitted with a 4-segment arc, and then on the ordinary CNC machine tool. Processing can meet the general accuracy requirements, which is also a contingency measure to solve the problem.

The approximate arc of the elliptical gear section curve is given by the parameters of one elliptical gear: the number of teeth Z, the modulus m, and the ellipse length half axis a short semi-axis b, from which it can be obtained that if the number of teeth of the A forging is set to m, The number of teeth in the AE segment is 2, and there are 2 (m+called =Z as shown, there are: simultaneous solution, so there is a point coordinate: according to the geometric relationship, the substitute arc AB segment on the ellipse can be obtained, for example, with 2 For the symmetrical arc AB-CD, AD - BC replaces the elliptic curve and makes the complete number of teeth on each arc. Under this condition, find the radius and center of the arc and the coordinates of the A point and the radius of the AD segment. The coordinates of R1, R2 and the center of the circle 1, 2, when the eccentricity is not large, the elliptical gear tooth number Z and the elliptical arc length L have an approximate formula: round R1, R2 to an integral multiple of 0.5, center coordinates: AG and AF The corresponding central angle is: the strength, fracture toughness and impact ability of the ceramic tool are greatly improved, and because of its excellent chemical stability, thermal stability and good wear resistance, it can be harder than hard. The higher cutting speed of the alloy is used for cutting. Cubic boron nitride is high-speed cutting hardened steel, chilled cast iron, titanium alloy. The most ideal tool material for materials, such as polycrystalline diamond tools, is the ideal tool material for high-speed cutting of non-ferrous metals and non-metal materials such as aluminum alloys, magnesium alloys, and silicon alloys.

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