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。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第9期974-982,共9页
Applied Mathematics and Mechanics
关键词
正弦电磁场
铁磁材料
力学特性
数学模型
sinusoidal magnetic field
ferromagnetic material
mechanical behavior
mathematical model
