1. 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):031105-031105-9. doi:10.1115/1.4032668 PMB configurations with (a) n axially polarized ring pairs, (b) n radially polarized ring pairs, and (c) n perpendicularly polarized ring pairs Figure Legend:

2. 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):031105-031105-9. doi:10.1115/1.4032668 The pth ring pair of PMB with axially polarized ring pairs with elements on polarized surfaces Figure Legend:

3. 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):031105-031105-9. doi:10.1115/1.4032668 The pth ring pair of PMB with radially polarized ring pairs with elements on polarized surfaces Figure Legend:

4. 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):031105-031105-9. doi:10.1115/1.4032668 The pth ring pair of PMB with perpendicularly polarized ring pairs with elements on polarized surfaces Figure Legend:

5. 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):031105-031105-9. doi:10.1115/1.4032668 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:

6. 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):031105-031105-9. doi:10.1115/1.4032668 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:

7. 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):031105-031105-9. doi:10.1115/1.4032668 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:

8. 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):031105-031105-9. doi:10.1115/1.4032668 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:

9. 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):031105-031105-9. doi:10.1115/1.4032668 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:

10. 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):031105-031105-9. doi:10.1115/1.4032668 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:

11. 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):031105-031105-9. doi:10.1115/1.4032668 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: