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

作　　者：顾晓安[1] 曾进[2] 沈荣瀛[1] 

机构地区：[1]上海交通大学振动冲击噪声国家重点实验室,上海200030 [2]上海交通大学数学系,上海200030

出　　处：《应用数学和力学》2004年第9期974-982,共9页Applied Mathematics and Mechanics

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.

关 键 词：正弦电磁场 铁磁材料 力学特性 数学模型 

分 类 号：TB535[理学—物理]