铁磁薄板在磁场中变形和应力的理论分析与实验研究

在二维板壳磁弹性理论基本方程基础上,以二维铁磁薄板磁弹性问题为例,建立了含有10个基本未知量的偏微分方程组,再利用Newmark有限等差式,得到了可以应用DOM方法求解的标准型方程组.求解得到了载流铁磁薄板的位移及应力与各电磁量之间的关系,计算了载流铁板在磁场中的变形和应力.同时进行了载流铁磁性薄板在电磁场中变形和应力的实验研究,介绍了电磁场中铁磁性薄板的实验装置和实验方法,给出了实验数据,并将实验结果与理论计算结果进行了分析对比.

Theoretical and Experimental Studies of Stress and Deformation of Ferromagnetic Thin Plate in A Magnetic Field

Taking 2-D magneto-elastic deformation of ferromagnetic thin plate as a example, a group of partial differential equation including 10 basic unknown variables was established based on the basic equations of 2-D ferromagnetic thin plate and shell magneto-elastic theory. Using Newmark stable finite difference formula, the criterion type equations that can be solved by DOM method were obtained. The relationship among displacement, stress and electromagnetic parameters in current carrying ferromagnetic thin plate was derived. The distortion and stress of carrying current ferromagnetism thin plate in a magnetic field were calculated. At the same time, experimental study of deformation and stress of current carrying ferromagnetic thin plate in an electromagnetic field was also carried out. Experimental device and method of ferromagnetism thin plate in a magnetic field is introduced and experimental data are presented in this paper. The comparison between experimental data and theoretical analysis is also presented.