A tunable volume integration formulation for force calculation in finite-element based computational magnetostatics

IEEE Transactions on Magnetics

Volumn 24, Issue 1, 1988, Pages 439-442

  McFee, S ^a   Webb, J P ^a   Lowther, D A ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

LOADING FORCE CALCULATION; MAGNETOSTATIC LOADING FORCE; MAXWELL STRESS EXPRESSION;

MATHEMATICAL TECHNIQUES - FINITE ELEMENT METHOD;

MAGNETOSTATICS;

EID: 0023166785     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.43951     Document Type: Article

References (19)

1. G.W. Carter, ‘Distribution of mechanical forces in magnetised material’, Proc. IEE, Vol. 112(9), pp. 1771–1777. Sept. 1965.
2. W.F. Brown, ‘Electric and Magnetic Forces: A Direct Calculation.’, Amer. J. Phys., Vol. 19, pp. 290–304, 1951.
3. L.J. Chu, H.A. Haus and P. Penfield, Jr., ‘The Force Density in Polarizable and Magnetizable Fluids’, Proc. IEEE, Vol. 54(7), pp. 920–935, July 1966.
4. A. Jacobus and W. Muller, ‘Numerical Solution of Forces and Torques’, I_ELETraror, liagnst_Acs, Vol. MAG-19(6), pp. 2589–2592, Nov. 1983.
5. K. Reichert, H. Freundl and W. Vogt, ‘The calculation of forces and torques within numerical magnetic field calculation methods’, Conf. Proc., COMPUMAG-76, p p. 64–73, Oxford.
6. C.J. Carpenter, ‘Surface-Integral Methods of Calculating Forces on Magnetized Iron Parts’, Proc. IEE, Vol. 106C, 1960.
7. J. Slepian, ‘Electromagnetic Ponderomotive Forces within Material Bodies’, Proc. LAS., Vol. 36, pp. 485–497, 1950.
8. P. Hammond, ‘Forces in Electric and Magnetic Fields’, Bull. Elec. Enti, Educ., Vol. 25, pp. 17– 28, 28, 1960.
9. B. Aldefeld, ‘Forces in Electromagnetic Devices’, Conf. Proc., COMPUMAG-78, 8, 1, Grenoble.
10. J. Penman and M.D. Grieve, ‘Efficient Calculation of Force in Electromagnetic Devices’, Proc. IEE, Vol. 133B(4), pp. 212–216, July 1986.
11. J.L. Coulomb, ‘A Methodology for the Determination of Global Electromechanical Quantities from a Finite Element Analysis and its Application to the Evaluation of Magnetic Forces, Torques and Stiffness’, IEEE Trans. on Magnetics, Vol. MAG-19(6), 19(6), pp. 2514–2519, Nov. 1983.
12. J.L. Coulomb and G. Meunier, ‘Finite Element Implementation of Virtual Work Principle for Magnetic or Electric Force and Torque Computation’, IEEE Trans. on Magnetics, Vol. MAG-20(5), pp. 1894–1896, Sept. 1984.
13. A.O. Mohammed, ‘A Virtual Work - Magnetic Vector Potential Method for the Calculation of Three Dimensional Forces on Magnetized Ferrous Cores’, Conf. Proc., IEEE SOUTHEASTCOH-85, pp. 64–68, Rayleigh.
14. D.A. Lowther and P.P. Silvester, Computer-Aided Design in Magnetics, pp. 194–195, Springer-Verlag, Verlag, New York, 1985.
15. J. Simkin, ‘Recent Developments in Field and Force Computation’, J. Phys. Colloq. (France), Vol. 45(C-1), PP. 851–860, Jan. 1984.
16. S. McFee and D.A. Lowther, ‘Towards Accurate and Consistent Force Calculation in Finite Element based Computational Magnetostatics’, accepted for publication, IEEE Trans. on Magnetics, 1987.
17. B.F. Schutz, Geometrical Methods of Mathematical Phz_sics, Chapters 2 and 4, Cambridge University Press, New York, 1980.
18. G.S. Rogers, Matrix Derivatives, p. 51, result 12, Marcel Dekker, Inc., New York, 1980.
19. O.C. Zienkiewicz, The Finite Element Method, 3rd Ed., Chapter 8, McGraw-Hill, New York, 1977.