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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1065-1074.

• 论文 • 上一篇    下一篇

MATHEMATICAL MODELS ARISING FROM A SURVEY OF FERROMAGNETIC MATERIALS UNDER MAGNETISATION

顾晓安1, 曾进2, 沈荣瀛1   

  1. 1. State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University, Shanghai 200030, P. R. China;
    2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • 收稿日期:2002-11-19 修回日期:2004-03-25 出版日期:2004-09-18 发布日期:2004-09-18
  • 通讯作者: SHEN Rongying(Corresponding author,Tel:+8621 62932221;Email:ryshen@public4.sta.net.cn) E-mail:ryshen@public4.sta.net.cn

MATHEMATICAL MODELS ARISING FROM A SURVEY OF FERROMAGNETIC MATERIALS UNDER MAGNETISATION

GU Xiao-an1, ZENG Jin2, SHEN Rong-ying1   

  1. 1. State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University, Shanghai 200030, P. R. China;
    2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • Received:2002-11-19 Revised:2004-03-25 Online:2004-09-18 Published:2004-09-18

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摘要： This paper focuses on mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization. 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 assumption, the first-order approximation of the above equations was established, of which the solutions are good enough for engineering application.

关键词: sinusoidal magnetic field, ferromagnetic material, mechanical behavior, mathematical model

Abstract: This paper focuses on mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization. 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 assumption, the first-order approximation of the above equations was established, of which the solutions are good enough for engineering application.

Key words: sinusoidal magnetic field, ferromagnetic material, mechanical behavior, mathematical model

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