Model calculations of torque-induced axial magnetization in circumferentially magnetized rings: Small angle approximation

Journal of Magnetism and Magnetic Materials

Volumn 176, Issue 2-3, 1997, Pages 183-196

  Herbst, J F ^a   Pinkerton, F E ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

Composite; Magnetostriction; Torque sensor

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; COMPOSITE MATERIALS; ESTIMATION; FERROMAGNETIC MATERIALS; MAGNETOSTRICTION; MATHEMATICAL MODELS; RINGS (COMPONENTS); TORQUE;

AXIAL MAGNETIZATION; CRYSTALLITE; MAGNETIC RING; MAGNETIC TRANSITION; MAGNETOSTRICTIVE MATERIAL; SMALL ANGLE APPROXIMATION;

MAGNETIZATION;

EID: 0031549942     PISSN: 03048853     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-8853(97)00649-5     Document Type: Article

References (14)

1. I.J. Garshelis, IEEE Trans. Magn. 28 (1992) 2202.
2. F.E. Pinkerton, T.W. Capehart, J.F. Herbst, E.G. Brewer, C.B. Murphy, Appl. Phys. Lett. 70 (1997) 2601.
3. J.F. Herbst, T.W. Capehart, F.E. Pinkerton, Appl. Phys. Lett. 70 (1997) 3041.
4. See, e.g., K. Harada, I. Sasada, T. Kawajiri, M. Inoue, IEEE Trans. Magn. 18 (1982) 1767.
5. L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii, Electrodynamics of continuous media, in: Course of Theoretical Physics, vol. 8, 2nd ed., Pergamon Press, Oxford, 1984, p. 140.
6. ĵ are its endpoints.
7. We use the [0, 2π] interval for convenience. Since the octant is threefold symmetric about ẑ, averaging over 0 ≤ Cζ ≤ 2π is equivalent to averaging over η ≤ ζ ≤ η + 2π/3 with η an arbitrary fixed angle.
8. S. Chikazumi, Physics of Magnetism, Wiley, New York, 1964, p. 251.
9. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1965.
10. Again, we use the [0, 2π] interval for mathematical convenience. Since the sextant is fourfold symmetric about ẑ, averaging over 0 ≤ ζ ≤ 2π is equivalent to averaging over η ≤ ζ ≤ η + π/2 with η an arbitrary fixed angle.
11. Chikazumi, op, cit., p. 250.
12. C. Kittel, in: F. Seitz, D. Turnbull (Eds.), Solid State Physics, vol. 3, Academic Press, New York, 1956, p. 464.
13. A.E. Clark, in: E.P. Wohlfarth (Ed.), Ferromagnetic Materials, vol. 1, North-Holland, Amsterdam, 1980, p. 531.
14. T.W. Capehart, private communication.