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Research Papers: Applications

Optimization of Axially Magnetized Stack Structured Permanent Magnet Thrust Bearing Using Three-Dimensional Mathematical Model

[+] Author and Article Information
Siddappa I. Bekinal

Bearings Laboratory,
Department of Mechanical Engineering,
KLS Gogte Institute of Technology,
Belagavi 590008, Karnataka, India
e-mail: sibekinal@git.edu

Mrityunjay Doddamani

Department of Mechanical Engineering,
National Institute of Technology Karnataka,
Surathkal 575025, Karnataka, India
e-mail: mrdoddamani@nitk.edu.in

Soumendu Jana

Bearings and Rotor Dynamics Laboratory,
Propulsion Division,
National Aerospace Laboratories,
Bengaluru 560017, Karnataka, India
e-mail: sjana@nal.res.in

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 20, 2016; final manuscript received August 13, 2016; published online January 10, 2017. Assoc. Editor: Daejong Kim.

J. Tribol 139(3), 031101 (Jan 10, 2017) (9 pages) Paper No: TRIB-16-1091; doi: 10.1115/1.4034533 History: Received March 20, 2016; Revised August 13, 2016

This work deals with optimization of axially magnetized stack structured permanent magnet (PM) thrust bearing using generalized three-dimensional (3D) mathematical model having “n” number of ring pairs. The stack structured PM thrust bearing is optimized for the maximum axial force and stiffness in a given cylindrical volume. matlab codes are written to solve the developed equations for optimization of geometrical parameters (axial offset, number of ring pairs, air gap, and inner radius of inner and outer rings). Further, the results of proposed optimization method are validated using finite element analysis (FEA) and further, generalized by establishing the relationship between optimal design variables and air gap pertaining to cylindrical volume constraint of bearing's outer diameter. Effectiveness of the proposed method is demonstrated by optimizing PM thrust bearing in a given cylindrical volume. Mathematical model with optimized geometrical parameters dealt in the present work helps the designer in developing PM thrust bearings effectively and efficiently for variety of applications.

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References

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Figures

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Fig. 1

PM thrust bearing configuration in a cylindrical volume with (a) one ring pair and (b) multiple ring pairs arranged in oppositions (stack-structured configuration)

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Fig. 2

Arrangement of uth and vth rings of PM thrust bearing

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Fig. 4

Optimization of number of ring pairs for maximum (a) axial force and (b) optimization of R1 for maximum axial stiffness

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Fig. 5

Variation of optimized values for number of ring pairs with varying air gap in maximum axial (a) force and (b) stiffness

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Fig. 6

Variation of optimized values of R1 for different air gap values for maximum axial (a) force and (b) stiffness

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Fig. 7

Variation of optimized values of R3 for different air gap values for maximum axial (a) force and (b) stiffness

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Fig. 8

Force and stiffness values of optimized PM thrust bearing configurations with 1 mm air gap for maximized axial (a) force and (b) stiffness

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Fig. 9

Optimized configuration FEA results for (a) inner and outer rings model, (b) maximum force generated on inner rings, and (c) comparison of optimized results of 3D mathematical model and 3D FEA results

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Fig. 10

Optimized values of number of ring pairs for different aspect ratios with respect to maximum axial (a) force and (b) stiffness

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Fig. 11

Optimal magnet thickness as a function of air gap for maximum axial (a) force and (b) stiffness

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Fig. 12

Optimum value of inner diameter of inner rings as a function of air gap for maximum axial (a) force and (b) stiffness

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Fig. 13

Optimum value of inner diameter of outer rings as a function of air gap for maximum axial (a) force and (b) stiffness

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Fig. 14

Variations of optimum value of inner diameter of outer rings for different values of air gap maximum axial (a) force and (b) stiffness

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