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Analysis of pre-deformation and pre-stress of flexible thin-walled bearings

Update:03-02-2021
Summary:

(1) The deformation of the inner and outer rings of the […]

(1) The deformation of the inner and outer rings of the flexible bearing mainly depends on the contour line of the wave generator cam. The radial deformation of the inner ring is the largest at the long axis, the radial deformation at the short axis is the smallest, and the deformation is 0 at nearly 45 degrees. The radial deformation of the outer ring is similarly distributed. The pre-deformation of the outer ring has a circumferential deformation of O at the major axis and minor axis, and the maximum at 45 degrees. The analysis results conform to the thin-walled ring theory. The maximum deformation of the inner ring is slightly larger than that of the outer ring. This is due to the contact deformation between the rolling elements and the inner and outer rings, and there is a certain amount of approach.

(2) After the flexible bearing is assembled to the elliptical shaft cam, the maximum prestress of the inner and outer rings is the largest at the major axis of the ellipse, and the maximum prestress of the inner ring is larger than that of the outer ring. This is mainly because the radius of curvature of the inner ring is larger than that of the outer ring. small. The bending stress is relatively large, which is consistent with the bending theory in material mechanics.

(3) In the case of considering prestress, under the same radial load, the equivalent stress of the inner and outer rings of the flexible bearing has a greater increase than the equivalent stress without considering the prestress, which has a greater impact on the rated load capacity of the flexible bearing. Big impact.

(4) According to the LP theory, the fatigue life of the flexible bearing is accurately calculated. The results show that the fatigue life of the flexible bearing is reduced by 30% when the prestress is considered. This puts forward a higher level for the design and manufacture of flexible bearings for harmonic reducers. Claim.

That is to say, the equivalent stress at the channel of the inner and outer rings is mainly taken from the circumferential stress it receives; the maximum equivalent stress and the maximum radial stress of the inner and outer rings occur in the area where the ball at the long axis contacts the inner and outer channels.

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