Open Access
Analysis of an arched outer-race ball bearing considering centrifugal forces
TLDR
In this paper, the distance between the ball center and the outer raceway groove curvature center (V and W) was evaluated using the Newton-Raphson method of iteration.Abstract:
A Newton-Raphson method of iteration was used in evaluating the radial and axial projection of the distance between the ball center and the outer raceway groove curvature center (V and W). Fatigue life evaluations were made. The similar analysis of a conventional bearing can be directly obtained from the arched bearing analysis by simply letting the amount of arching be zero (g = 0) and not considering equations related to the unloaded half of the outer race. The analysis was applied to a 150-mm angular contact ball bearing. Results for life, contact loads, and angles are shown for a conventional bearing (g = 0) and two arched bearings (g = 0.127 mm (0.005 in.), and 0.254 mm (0.010 in.)). The results indicate that an arched bearing is highly desirable for high speed applications. In particular, for a DN value of 3 million (20,000 rpm) and an applied axial load of 4448 N (1000 lb), an arched bearing shows an improvement in life of 306 percent over that of a conventional bearing. At 4.2 million DN (28,000 rpm), the corresponding improvement is 340 percent. It was also found for low speeds, the arched bearing does not offer the advantages that it does for high speed applications.read more
Citations
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Journal ArticleDOI
Simplified solution for elliptical-contact deformation between two elastic solids.
TL;DR: In this paper, a linear regression by the method of least squares is made on the geometric variables that occur in the equation for elliptical contact deformation, and the ellipticity and the complete elliptic integrals of the first and second kind are expressed as a function of the x,y-plane principal radii.
Journal ArticleDOI
Simplified solution for stresses and deformations
Bernard J. Hamrock,D. E. Brewe +1 more
TL;DR: In this article, a simplified version of the classical Hertzian solution for local stress and deformation of two elastic bodies in contact is presented, which employs simplified forms for the ellipticity and for the complete elliptic integrals of the first and second kinds as a function of the geometry.
Journal ArticleDOI
Ball Motion and Sliding Friction in a Four-Contact-Point Ball Bearing
Alexandre Leblanc,Daniel Nelias +1 more
TL;DR: In this article, an analysis of double arched ball bearing, which considers centrifugal forces and gyroscopic effects, is performed based on operating conditions of a five DOF inner ring and Coulomb friction model, the conventional bearing theory is extended from two to three or four contact points.
Journal ArticleDOI
Numerical Evaluation of the Surface Deformation of Elastic Solids Subjected to a Hertzian Contact Stress
Duncan Dowson,Bernard J. Hamrock +1 more
TL;DR: In this paper, the elastic deformation of two ellipsoidal solids in contact and subjected to Hertzian stress distribution was evaluated numerically as part of a general study of the elastic deformability of such solids.
Journal ArticleDOI
Four-Point Contact Ball Bearing Model With Deformable Rings
TL;DR: In this article, several methods are proposed to account for the flexibility of rings in a quasi-static ball bearing numerical model, such as ring ovalization, ring twist, and raceway opening.
References
More filters
Journal ArticleDOI
Simplified solution for elliptical-contact deformation between two elastic solids.
TL;DR: In this paper, a linear regression by the method of least squares is made on the geometric variables that occur in the equation for elliptical contact deformation, and the ellipticity and the complete elliptic integrals of the first and second kind are expressed as a function of the x,y-plane principal radii.
Journal ArticleDOI
Simplified solution for stresses and deformations
Bernard J. Hamrock,D. E. Brewe +1 more
TL;DR: In this article, a simplified version of the classical Hertzian solution for local stress and deformation of two elastic bodies in contact is presented, which employs simplified forms for the ellipticity and for the complete elliptic integrals of the first and second kinds as a function of the geometry.
Journal ArticleDOI
Ball Motion and Sliding Friction in a Four-Contact-Point Ball Bearing
Alexandre Leblanc,Daniel Nelias +1 more
TL;DR: In this article, an analysis of double arched ball bearing, which considers centrifugal forces and gyroscopic effects, is performed based on operating conditions of a five DOF inner ring and Coulomb friction model, the conventional bearing theory is extended from two to three or four contact points.
Journal ArticleDOI
Numerical Evaluation of the Surface Deformation of Elastic Solids Subjected to a Hertzian Contact Stress
Duncan Dowson,Bernard J. Hamrock +1 more
TL;DR: In this paper, the elastic deformation of two ellipsoidal solids in contact and subjected to Hertzian stress distribution was evaluated numerically as part of a general study of the elastic deformability of such solids.
Journal ArticleDOI
Four-Point Contact Ball Bearing Model With Deformable Rings
TL;DR: In this article, several methods are proposed to account for the flexibility of rings in a quasi-static ball bearing numerical model, such as ring ovalization, ring twist, and raceway opening.
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