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Date of download: 10/9/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Conventional deep groove bearing with arching region identified and resulting double arched bearing

2 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Resting angle and free contact angle

3 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Normalized internal clearance circle depicting geometrical relationship between internal play, resting and free contact angles, and the shim size

4 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Coordinate system showing relation to inner ring displacements

5 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Ball position definition relative to global coordinates

6 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Position of ball center and raceway curvature centers at initial and final loaded positions

7 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Four-point contact stiffness diagram

8 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Internal load distributions for a bearing under pure radial loading with various arching (expressed by resting angle)

9 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Torque due to slip and spin bearing B under pure radial loading with various arching (expressed by resting angle)

10 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Comparison of 4PT model to 2PT analysis with gyroscopic moment effects, bearing A, 5000 lbf thrust load: (a) normal ball loads, (b) contact angles, and (c) mean Hertzian stress

11 Date of download: 10/9/2017 Copyright © ASME. All rights reserved. From: An Analytical Model of Four-Point Contact Rolling Element Ball Bearings J. Tribol. 2016;138(3): doi: / Figure Legend: Comparison of 4PT model to 2PT analysis with gyroscopic moment effects, bearing B, 10,000 lbf thrust load: (a) normal ball loads, (b) contact angles, and (c) mean Hertzian stress


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