Three-degree-of-freedom involute ball gear pair
A ball gear and involute technology, applied in the field of three-degree-of-freedom involute ball gear pairs, can solve the effect of backlash and stability, cannot guarantee the continuity of ball gear transmission, and has not proposed a spherical gear tooth surface modeling method. face equations etc.
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specific Embodiment approach 1
[0029] Specific implementation mode 1. Combination Figure 1 to Figure 5 Describe this embodiment. The purpose of this embodiment is to provide a new three-degree-of-freedom involute spherical gear pair with stable mesh transmission, no transmission error, and high degree of coincidence, which can realize the three functions of yaw, pitch, and rotation. degrees of freedom. And it solves the problem of discontinuous meshing transmission of ball gears existing in the prior art.
[0030] Such as Figure 1~3 As shown, this embodiment provides a three-degree-of-freedom involute spherical gear pair, which includes a concave spherical gear 4 and a convex spherical gear 1, and the concave spherical gear on the concave spherical gear 4 is an independent The tooth 6 is composed of a planar involute annular tooth surface and a spherical involute arc tooth surface, and the concave gear tooth groove 5 is formed by interlacing the individual teeth 6 of the concave spherical gear.
[0031...
specific Embodiment approach 2
[0047] Specific Embodiment 2. This embodiment is a specific embodiment of a three-degree-of-freedom involute spherical gear pair described in Specific Embodiment 1: the following takes a ball gear with specific data as an example and discusses it in detail.
[0048] The parameters of the ring gear of the ball gear pair are: modulus m=2, number of teeth Z 1 =25, graduation circle pressure angle α=20°. At this time, the ring tooth pitch circle diameter d 1=50, base circle diameter d b =47, addendum circle diameter d a =54, the pressure angle of addendum circle is α a = 29.5°. At this time, the parameters of each point on the annular tooth surface can be calculated through the tooth surface equation, and the above formula for calculating the coincidence degree can be used to obtain ε 1 = 1.6.
[0049] The parameters of the arc-shaped teeth of the spherical gear pair are: number of teeth Z 2 =12, graduated circle pressure angle α s =20°, pitch circle diameter d 2 =50, the...
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