弹性半平面问题的变形扰动磁场

为计算机械应力引起的扰动磁场,从磁弹性问题的线性理论出发,导出了结构变形引起的扰动磁场的定解方程和边界条件。采用傅里叶变换方法对受集中力作用半平面问题的变形扰动磁场进行了求解,并对空气中的扰动磁场强度分布及量级进行了讨论。结果表明,空气中扰动磁场的法向强度和切向强度分布特征明显不同,法向强度关于力作用点对称分布,并且在力作用点处达到最大,而切向强度关于力作用点反对称分布,并且在力作用点处有突变;地磁环境下,磁场对位移的影响可以忽略不计;扰动场强与外力成正比。

Deformation Perturbed Magnetic Fields of the Elastic Half-plane

In order to obtain the perturbed magnetic fields caused by mechanical stress, the governing equations and boundary conditions for the problems were derived based on the linearized magnetoelastic theory. For example, the perturbed magnetic fields of the half-plane subjected to the concentrated force were obtained by the procedure presented in this paper. The calculation results show that the normal component of magnetic intensity is symmetrically distributed around the point of the acting force, where the normal component reach the maximum value; while the tangential component is antisymmetrically distributed around the point of the acting force, where the tangential component inverses its direction sharply. The effect of magnetic fields on the displacement can be neglected. The magnetic inductions of the perturbed fields are proportional to the applied force.