A Simplified Force Equation for Coaxial Cylindrical Magnets and Thin Coils

被引：74

作者：

Robertson, Will ^{[1
]}

Cazzolato, Ben ^{[1
]}

Zander, Anthony ^{[1
]}

机构：

[1] Univ Adelaide, Sch Mech Engn, Adelaide, SA 5005, Australia

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2011年 / 47卷 / 08期

关键词：

Coils; force; magnetic forces; CIRCULAR COILS; BEARINGS; LEVITATION; STIFFNESS; SPRINGS; FIELDS;

D O I：

10.1109/TMAG.2011.2129524

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A recently-published equation for calculating the force between coaxial cylindrical magnets is presented in simplified form. The revised equation is now very compact: it is defined with fewer parameters and contains fewer terms than the original equation. The new equation is purely real, unlike the original which contained imaginary components. As a result of the simplifications, the new equation is demonstrably faster to evaluate than the original, improving its utility for parametric optimization. A reference implementation is provided for Matlab and Mathematica.

引用

页码：2045 / 2049

页数：5

共 16 条

[1] 3D ANALYTICAL CALCULATION OF THE FORCES EXERTED BETWEEN 2 CUBOIDAL MAGNETS [J].

AKOUN, G ;

YONNET, JP .

IEEE TRANSACTIONS ON MAGNETICS, 1984, 20 (05) :1962-1964

[2]

[Anonymous], 2001, PERMANENT MAGNET ELE

[3] Magnetic force calculation between thin coaxial circular coils in air [J].

Babic, Slobodan I. ;

Akyel, Cevdet .

IEEE TRANSACTIONS ON MAGNETICS, 2008, 44 (04) :445-452

[4] Levitation of passive magnetic bearings and systems [J].

Bassani, Roberto .

TRIBOLOGY INTERNATIONAL, 2006, 39 (09) :963-970

[5] Passive elasto-magnetic suspensions: nonlinear models and experimental outcomes [J].

Bonisoli, E. ;

Vigliani, A. .

MECHANICS RESEARCH COMMUNICATIONS, 2007, 34 (04) :385-394

[6] On the design of a high-static-low-dynamic stiffness isolator using linear mechanical springs and magnets [J].

Carrella, A. ;

Brennan, M. J. ;

Waters, T. P. ;

Shin, K. .

JOURNAL OF SOUND AND VIBRATION, 2008, 315 (03) :712-720

[7] A FORMULA FOR THE LEVITATION FORCE BETWEEN MAGNETIC DISKS [J].

FURLANI, EP .

IEEE TRANSACTIONS ON MAGNETICS, 1993, 29 (06) :4165-4169

[8] FORMULAS FOR THE FORCE AND TORQUE OF AXIAL COUPLINGS [J].

FURLANI, EP .

IEEE TRANSACTIONS ON MAGNETICS, 1993, 29 (05) :2295-2301

[9] Vertical and lateral forces between a permanent magnet and a high-temperature superconductor [J].

Hull, JR ;

Cansiz, A .

JOURNAL OF APPLIED PHYSICS, 1999, 86 (11) :6396-6404

[10] Restoring force between two noncoaxial circular coils [J].

Kim, KB ;

Levi, E ;

Zabar, Z ;

Birenbaum, L .

IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (02) :478-484

← 1 2 →