铁磁质在磁场中所受磁场力的数学模型

介绍了电磁场理论中基于虚功原理导出的磁场力的一般数学表达式以及从不同角度描述铁磁质磁致伸缩现象的几种方法、引入弹性力学理论中的应变能密度概念，从能量守恒和功能转换的角度描述了表征磁致伸缩现象的磁场力．进而给出了磁准静态场和正弦交变电磁场条件下铁磁质所受磁场力的数学模型．这些数学模型的建立为分析大型电力变压器铁芯及其他电力设备磁路的振动和噪声奠定了基础．

Mathematical Model of Magnetic Forces in Ferromagnetic Materials under Magnetization

The general mathematical expression of magnetic forces were presented according to the theory of electromagnetic fields. Then, based on physical property (magnetostriction) of ferromagnetic materials of electric machines, the conception of density of strain energy, quoted from the theory of plastoelasticity, was introduced to describe the magnetic forces of magnetostriction phenomenon. At the end, four kinds of mathematical model, under different types of magnetization, were established. The proposed models can be used to analyze the vibration and noise of magnetic circuit of large power equipments.