Research Papers: Applications

Development of Analytical Equations for Design and Optimization of Axially Polarized Radial Passive Magnetic Bearing

[+] Author and Article Information
K. P. Lijesh

Department of Mechanical Engineering
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: lijesh_mech@yahoo.co.in

Harish Hirani

Associate Professor
Department of Mechanical Engineering
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: hirani@mech.iitd.ac.in

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received May 1, 2014; final manuscript received August 25, 2014; published online October 6, 2014. Assoc. Editor: Bugra Ertas.

J. Tribol 137(1), 011103 (Oct 06, 2014) (9 pages) Paper No: TRIB-14-1100; doi: 10.1115/1.4028488 History: Received May 01, 2014; Revised August 25, 2014

In the present research work, analytical equations have been developed for design and optimization of radial axial polarized passive magnetic bearing (PMB) with single layer for facilitating easy and quick solution, obviating the need of costly software. Seven design variables: eccentricity, rotor width, stator width, rotor length, stator length, clearance, and mean radius were identified as the main factors affecting the design and were thus considered in the development of analytical equations. The results obtained from the developed analytical equations have been validated with the published results. The optimization of the bearing design, with minimization of magnet volume as the objective function, was carried out to demonstrate the accuracy and usefulness of the developed equations.

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Fig. 1

Radial Magnetic bearing: (a) front view and (b) section side view

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Fig. 2

Percentage mean square values: (a) force and (b) stiffness

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Fig. 3

Comparison of numerical and analytical equations for ɛ: (a) β = C(1−ɛ) and (b) β = C(1 − 0.2ɛ2)

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Fig. 4

Comparison of numerical and analytical methods for Rm: (a) mean value and (b) lowest value

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Fig. 5

Comparison of numerical and analytical equation for α: (a) comparison for α and (b) comparison for 0.9 T'0.4 (1−0.0111T'-5.4)

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Fig. 6

Comparison of numerical and proposed equations for b: (a) Numerical equation (3) and (b) analytical equation (9b)

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Fig. 7

Force versus L for dimensions provided in Ref. [5]

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Fig. 8

Force versus L for dimensions provided in Ref. [12]

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Fig. 9

Force versus L for bearing described in Ref. [15]




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