中文摘要：

基于复杂磁场中铁磁介质磁弹性广义变分原理，给出了包含磁场、铁磁薄板几何非线性的一组基本方程，并对斜磁场中铁磁薄板的磁弹性弯曲问题进行了分析．根据铁磁板内磁场分布特点定性分析了铁磁薄板所受磁力的特征，建立了考虑铁磁板磁场端部效应以及耦合非线性、几何非线性的磁弹性有限元模型，数值模拟了铁磁薄板的磁弹性耦合弯曲特性并给出铁磁悬臂、简支薄板随磁场倾角变化的磁弹性弯曲变形特征等，数值结果与定性分析结果吻合良好．

英文摘要：

Based on the generalized magnetoelastic variational principle of ferromagnetic medium subjected to complex magnetic fields, the fundamental equations including magnetic field and ferromagnetic thin plate with geometrical nonlinearity are derived in the present paper. The magnetoelastic bending of a ferromagnetic rectangle plate in an applied oblique magnetic field is studied numerically. We first qualitatively analyze the characteristic of magnetic force acted on a ferromagnetic plate by means of magnetic field distribution in ferromagnetic plate without edge effect. Then a FEM modeling for the ferromagnetic plate is developed taking into account geometrical and coupling nonlinearities and edge effect. The quantitative analyses of the magnetoelastic behavior on the cantilevered and simply supported ferromagnetic plates are conducted. The numerical results show good agreements with the qualitative predictions.