正弦电磁场中铁磁材料数学模型

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;

摘要: 将电磁场理论与弹性力学理论相结合，建立了描述铁磁材料在正弦电磁场中的数学模型，并对该模型一类的4阶非线性偏微分方程的解进行了讨论．给出其一阶近似后得到的线性偏微分方程的解析表达式和数值计算方法．计算结果表明，本方法是有效的．
- 正弦电磁场 /
- 铁磁材料 /
- 力学特性 /
- 数学模型
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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