Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs

IF 2.2 3区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Tribology-transactions of The Asme Pub Date : 2016-07-01 DOI:10.1115/1.4032668

S. Bekinal, S. Jana

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引用次数: 22

Abstract

This work deals with generalized three-dimensional (3D) mathematical model to estimate the force and stiffness in axially, radially, and perpendicularly polarized passive magnetic bearings with “n” number of permanent magnet (PM) ring pairs. Coulombian model and vector approach are used to derive generalized equations for force and stiffness. Bearing characteristics (in three possible standard configurations) of permanent magnet bearings (PMBs) are evaluated using matlab codes. Further, results of the model are validated with finite element analysis (FEA) results for five ring pairs. Developed matlab codes are further utilized to determine only the axial force and axial stiffness in three stacked PMB configurations by varying the number of rings. Finally, the correlation between the bearing characteristics (PMB with only one and multiple ring pairs) is proposed and discussed in detail. The proposed mathematical model might be useful for the selection of suitable configuration of PMB as well as its optimization for geometrical parameters for high-speed applications.

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具有“n”个环对的轴向、径向和垂直磁化被动磁轴承的力和刚度的广义三维数学模型

本文采用广义三维(3D)数学模型来估计具有n个永磁环对的轴向、径向和垂直极化被动磁轴承的力和刚度。采用库仑模型和矢量法推导了力和刚度的广义方程。使用matlab代码对永磁轴承(PMBs)的承载特性(三种可能的标准配置)进行了评估。最后，用五个环对的有限元分析结果验证了模型的正确性。进一步利用开发的matlab代码，通过改变环数来确定三种堆叠PMB构型的轴向力和轴向刚度。最后，提出并详细讨论了轴承特性(单环对和多环对)之间的相关性。该数学模型可为高速应用中PMB结构的选择和几何参数的优化提供参考。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Tribology-transactions of The Asme 工程技术-工程：机械

CiteScore

4.20

自引率

12.00%

发文量

117

审稿时长

4.1 months

期刊介绍： The Journal of Tribology publishes over 100 outstanding technical articles of permanent interest to the tribology community annually and attracts articles by tribologists from around the world. The journal features a mix of experimental, numerical, and theoretical articles dealing with all aspects of the field. In addition to being of interest to engineers and other scientists doing research in the field, the Journal is also of great importance to engineers who design or use mechanical components such as bearings, gears, seals, magnetic recording heads and disks, or prosthetic joints, or who are involved with manufacturing processes. Scope: Friction and wear; Fluid film lubrication; Elastohydrodynamic lubrication; Surface properties and characterization; Contact mechanics; Magnetic recordings; Tribological systems; Seals; Bearing design and technology; Gears; Metalworking; Lubricants; Artificial joints