Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / PMB configurations with (a) n axially polarized ring pairs, (b) n radially polarized ring pairs, and (c) n perpendicularly polarized ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The pth ring pair of PMB with axially polarized ring pairs with elements on polarized surfaces Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The pth ring pair of PMB with radially polarized ring pairs with elements on polarized surfaces Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The pth ring pair of PMB with perpendicularly polarized ring pairs with elements on polarized surfaces Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / Comparison of results of an axial force by 3D mathematical model and 3D FEA for five ring pairs: (a) configuration I, (b) configuration II, (c) configuration III, and (d) maximum axial force generated in configuration II in ansys Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial force generated by the outer rings on the inner rings for different axial positions of the rotor in the configuration I: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial stiffness of configuration I for different axial positions of the rotor: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial force generated by the outer rings on the inner rings for different axial positions of the rotor in configuration II: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial stiffness of configuration II for different axial positions of the rotor: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial force generated by the outer rings on the inner rings for different axial positions of the rotor in configuration III: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend:

Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs J. Tribol. 2016;138(3): doi: / The axial stiffness of configuration III for different axial positions of the rotor: (a) PMB with 1–5 ring pairs and (b) PMB with 6–10 ring pairs Figure Legend: