Flexible spline and wave generator for strain wave gearing
A strain wave gearing device includes a circular spline having a plurality of internal teeth; a flex spline having a plurality of external teeth, the flex spline is disposed coaxially with respect to the circular spline to allow one or more of the plurality of external teeth to engage with one or more of the plurality of internal teeth, wherein the flex spline is defined using Bezier curve defining a plurality of structural parameters associated with the flex spline; and a wave generator having an elliptical cam and a flexible bearing mounted on the elliptical cam, the wave generator is disposed coaxially with respect to the flex spline to allow the flexible bearing to have two-point contact with the flex spline.
1 . A strain wave gearing device comprising:
a circular spline having a plurality of internal teeth;
a flex spline having a plurality of external teeth, the flex spline is disposed coaxially with respect to the circular spline to allow one or more of the plurality of external teeth to engage with one or more of the plurality of internal teeth, wherein the flex spline is defined by a Bezier curve, wherein the Bezier curve is constructed by a plurality of control points of the flex spline, and wherein coordinates of the plurality of control points are determined based on a plurality of structural parameters of the flex spline; and
a wave generator having an elliptical cam and a flexible bearing mounted on the elliptical cam, the wave generator is disposed coaxially with respect to the flex spline to allow the flexible bearing to have two-point contact with the flex spline;
a pair of output flanges operatively coupled to the flex spline;
a ball bearing arranged between the pair of output flanges;
a gearbox casing supporting the flex spline, the ball bearing and the pair of output flanges; and
a cover coupled to the gearbox casing.
2 . The strain wave gearing device of claim 1 , wherein the plurality of structural parameters comprises:
a width (α) of contact of the flexible bearing with the flex spline;
a length (L) of the flex spline;
a curvature (γ) of the flex spline;
an inner radius (β) of the flex spline;
a thickness (t) of the flex spline; and
a radius (δ) of an output hub of the flex spline.
3 . The strain wave gearing device of claim 1 , wherein the plurality of external teeth are configured to be involute and are cut-into the flex spline.
4 . The strain wave gearing device of claim 1 , wherein the output hub of the flex spline has a first thickness and remaining portions of the flex spline have a second uniform thickness smaller than the first thickness.
5 . The strain wave gearing device of claim 1 , further comprising:
a brushless motor operatively coupled to the elliptical cam of the wave generator; and
a motor casing coupled to the brushless motor.
6 . The strain wave gearing device of claim 1 , wherein the flexible bearing is mounted on the elliptical cam using a tapered cam slider.
7 . The strain wave gearing device of claim 6 , wherein the tapered cam slider comprises:
an elongate member having a first circular end and a tapered second elliptical end integral with the first circular end, wherein a perimeter of the second elliptical end is equal to a perimeter of the elliptical cam;
a plate member having a diameter larger than the perimeter of the second elliptical end; and
a plurality of fasteners for coupling the elongate member and the plate member, wherein the elliptical cam is configured to be arranged between the elongate member and the plate member aligning the perimeter of the second elliptical end with the perimeter of the elliptical cam.
8 . The strain wave gearing device of claim 1 , wherein the circular spline, flex spline and the wave generator are composed of plastic.
9 . The strain wave gearing device of claim 1 , wherein the circular spline, flex spline and the wave generator are made using 3D printing and vacuum casting.