Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation

GU Xiao-an; ZENG Jin; SHEN Rong-ying

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GU Xiao-an, ZENG Jin, SHEN Rong-ying. Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation[J]. Applied Mathematics and Mechanics, 2004, 25(9): 974-982.

Citation:

GU Xiao-an, ZENG Jin, SHEN Rong-ying. Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation[J]. Applied Mathematics and Mechanics, 2004, 25(9): 974-982.

Citation:

GU Xiao-an, ZENG Jin, SHEN Rong-ying. Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation[J]. Applied Mathematics and Mechanics, 2004, 25(9): 974-982.

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Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation

1.
State Key Laboratory of Vibration Shock and Noise, Shanghai Jiaotong Univeristy, Shanghai 200030, P. R. China;

Received Date: 2002-11-19
Rev Recd Date: 2004-03-25
Publish Date: 2004-09-15

Abstract

Abstract

Sinusoidal alternating magnetic fields established inside the cores would cause vibrations of silicon steel sheets and make noises.The mechanical behavior of ferromagnetic materials must be modeled for such complicated problems.Mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization were focused on.Through combination of the electromagnetic field theory with the theory of elastic mechanics,several nonlinear systems of fourth-order partial differential equations were deduced.By making further assumptions,the first-order approximation of the above equations was established.Although the models were deduced based on assumption of linear,homogeneous,isotropic materials and simplified magnetization model,the results,which the formulations give,are proved to be good enough for engineering application.
- sinusoidal magnetic field,
- ferromagnetic material,
- methanical behavior,
- mathematical model

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References(8)

References

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