| 摘要 |
A ball bearing having first and second races and, disposed in a gap between the two races, a row of balls of radius RK that roll along facing tracks of the two races, wherein centers of the balls move on a circular path surrounded by a torus circumscribing all the balls of the row and having the toroidal radius RK, a toroidal angle coordinate φ, and a poloidal angle coordinate θ, wherein each track has with each ball two nearly punctiform contact areas P1, P2; P3 P4 at respective contact angles θP1, θP2; θP3 and θP4, wherein the cross section of the track in the region of the contact points P1 . . . P4 has a finite transverse radius of curvature RL1 . . . RL4, with RLv>RK, and wherein in the vicinity of a contact point P1 . . . P4 the transverse radius of curvature (RL) is a continuous and differentiable function of the poloidal angle coordinate θ: RL=RL(θ) that increases outward from the respective contact point P1 . . . P4 in both poloidal directions: RL(θ)≧RL(θPv). |
| 主权项 |
1. A ball bearing having a first and a second race and, disposed in a gap between the two said races, at least one row of balls of radius RK that roll along facing tracks of the two said races, wherein the centers (M) of the balls of a row move on a circular path surrounded by a torus circumscribing all the balls of said row and having the toroidal radius RK, a toroidal angle coordinate φ and a poloidal angle coordinate θ, and wherein cross sections of the two track contours are symmetrical to each other relative to a first axis of symmetry that extends centrally along the gap and remains equidistant from the two facing faces of the two races, whereby, perpendicular to the first axis of symmetry, at a level of a ball center or the circular path, there extends a second axis of symmetry parallel to a base plane of the ball bearing and which divides each of the two tracks into two sections, which are symmetrical to each other relative to the second axis of symmetry, and whereby the first and second axes of symmetry form a sort of coordinate intersection of a local Cartesian coordinate system resulting in the formation of a total of four quadrants, whereby each of the tracks exhibits with each of said balls two generally punctiform contact areas (P1, P2; P3 P4) at respective contact angles (θP1, θP2; θP3 and θP4), each one of the four generally punctiform contact areas (P1, P2; P3 P4) between a ball and both tracks being disposed in a different quadrant of the local Cartesian coordinate system, wherein in regions of the contact angles (θP1, θP2; θP3 and θP4) respective cross sections of the tracks are provided with transverse curvatures having finite radii of curvature (RL1 . . . RL4), each of which is greater than the ball radius (RK): RLv>RK, v=1 . . . 4, wherein the transverse radius of curvature (RL) of the tracks is, in the vicinity of said contact angles (θP1, θP2; θP3 and θP4), always a continuous and differentiable function of the poloidal angle coordinate θ: RL=RL(θ) that increases outwardly from the respective contact-angle region (θP1, θP2; θp3 and θP4) in both poloidal directions: RL(θ)≧RL(θPv), such that, on the one hand, the transverse radius of curvature (RL) of said tracks increases from the respective contact-angle region (θP1, θP2; θP3 and θP4) in a direction towards the gap near the first axis of symmetry, and, on the other hand, the transverse radius of curvature (RL) of said tracks increases from the respective contact-angle region (θP1, θP2; θP3 and θP4) in the direction towards the innermost part of the track at the second axis of symmetry as well, wherein the first race exhibits a first planar contact face with fastening means in the form of coronally distributed bores for connection to a first foundation, a first frame, or a first machine or system part, while the second race exhibits a second planar contact face with fastening means in the form of coronally distributed bores for connection to a second frame, or a second machine or system part, wherein the first and second planar contact faces point in opposite axial directions and are both elevated in the axial direction of said ball bearing relative to the respective ring face of the other race, so that the plane of the ball bearing forms a plane of separation between the first and second frames, or machine or system parts, one of which is located above the plane of the ball bearing, while the other one is located below the plane of the ball bearing, and wherein both races have the same axial height, wherein the transverse curvature of the track contour in the vicinity of the contact angle regions θP1, θP2; θP3 and θP4 follows a potential function, or a progression, or an exponential function, or a combination of a plurality of such functions. |
