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Refined analysis of axi-symmetric circular cylinder in the axial magnetic field without ad hoc assumption |
Baosheng ZHAO1( ), Yang GAO2, Yingtao ZHAO3, Dechen ZHANG1 |
| 1. School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan 114051, China; 2. College of Science, China Agricultural University, Beijing 100083, China; 3. Department of Applied Mechanics, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China |
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Abstract The refined theory for axi-symmetric magnetoelastic circular cylinder is deduced systematically and directly from linear magnetoelasticity theory. Based on the general solution of magnetoelastic equation and the Lur’e method, the refined theory yields the solutions for magnetoelastic circular cylinder without ad hoc assumptions. On the basis of the refined theory developed in the present study, solutions are obtained for magnetoelastic circular cylinder with homogeneous and non-homogenous boundary conditions, respectively. For the circular cylinder with homogeneous boundary conditions, the refined theory provides exact solutions that satisfy all of the governing equations. The exact solutions can be divided into three parts: the 2-orders equation, the transcendental equation, and the magnetic equation. In the case of non-homogenous boundary conditions, the approximate governing equations are accurate up to the high-order terms with respect to cylinder radius.
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refined analysis
axially symmetric deformation
circular cylinder
Bessel’s function
axial magnetic field
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Corresponding Author(s):
ZHAO Baosheng,Email:zhaobaos@pku.org.cn
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Issue Date: 05 September 2011
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| 1 |
Moon F C, Pao Y H. Magnetoelastic buckling of a thin plate. Journal of Applied Mechanics , 1968, 35: 53-58
|
| 2 |
Zhou Y H, Zheng X J. A theoretical model of magnetoelastic buckling for soft ferromagnetic thin plates. Acta Mechanica Sinica , 1996, 12(3): 213-224
doi: 10.1007/BF02486808
|
| 3 |
Zhou Y H, Zheng X J. A variational principle on magnetoelastic interaction of ferromagnetic thin plates. Acta Mech Solids Sinica , 1997, 10(1): 1-10
|
| 4 |
Brown W F. Magnetoelastic Interactions. New York: Springer-Verlag, 1966.
|
| 5 |
Pao Y H, Yeh C S. A linear theory for soft ferromagnetic elastic solids. International Journal of Engineering Science , 1973, 11(4): 415-436
doi: 10.1016/0020-7225(73)90059-1
|
| 6 |
Huang K F, Wang M Z. Complete solution of the linear magnetoelasticity and the magnetic fields in a magnetized elastic half-space. Journal of Applied Mechanics , 1995, 62(4): 930-934
doi: 10.1115/1.2896024
|
| 7 |
Cheng S. Elasticity theory of plates and a refined theory. Journal of Applied Mechanics , 1979, 46(3): 644-650
doi: 10.1115/1.3424620
|
| 8 |
Lur’e A I. Three-Dimensional Problems of the Theory of Elasticity. New York: Interscience Press, 1964
|
| 9 |
Gao Y, Zhao B S. The refined theory for a magnetoelastic body-I. plate problems. International Journal of Applied Electromagnetics and Mechanics , 2009, 29: 1-14
|
| 10 |
Zhao B S, Gao Y, Wu X E. A refined theory of torsional deformation of a circular shaft. Acta Mechanica , 2009, 207(1-2): 1-10
doi: 10.1007/s00707-008-0105-8
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