Equal-arc-length slotting method of non-circular gears
A non-circular gear and equal arc length technology, applied in the field of gear manufacturing, can solve problems such as troublesome clamping, low efficiency, and poor practicability, and achieve balanced and consistent tooth profile precision, high-efficiency and high-precision machining, and uniform distribution of cut marks Effect
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Embodiment 1
[0033] see figure 2 , which shows the interlocking relationship of each axis in the method of inserting non-circular gears with equal arc lengths in the present invention. In the end face of the gear blank 1, the gear shaping cutter 2 is ω b rotation, gear blank 1 with ω c Rotation, in order to ensure the pure rolling of the 2 pitch circle of the gear shaper cutter and the 1 pitch curve of the gear blank in the same direction during the slotting process, within the end surface of the gear blank 1, ω b with ω c Maintain a strict transmission ratio according to the requirements of generating motion. In the axial plane of the gear blank 1, in order to maintain the inscribed contact between the pitch circle of the gear shaping cutter 2 and the curve of the gear blank 1 pitch, the gear shaping cutter 2 acts as v x Movement, axial reciprocating slotting v z , so that all teeth are slotted, in order to ensure uniform precision of the tooth surface along the axis, v z with ω b...
Embodiment 2
[0042] see Figure 7 , which shows the interlocking relationship of each shaft on the end surface of the tooth blank in the method of inserting the external meshing non-circular gear with the same arc length of the tooth blank in the present invention. The rest is the same as the first embodiment, the difference is that the gear shaper cutter 2 is located outside the curve of the first pitch of the gear blank, and the rotation direction of the two is opposite. Based on the above method and according to the principle of differential geometry, the linkage equation of external meshing non-circular spur gear or helical gear is established as follows:
[0043] v x = [ r d r d θ + r b ...
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