磁场中薄板功的互等定理

对于两个具有相同的材料、尺寸和形状，但可以具有不同的不变横向磁场作用，还可以具有不相同的静力边界条件和位移边界条件的金属模板进行了分析研究，并在这两个金属模板之间建立了功的互等定理。作为算例，应用该互等定理计算了在横向磁场中两对边简支和另两对边固定金属薄矩形板的固有频率。计算表明，该定理简便实用，适合于工程实际应用。

Reciprocal theorem for metal thin plates in transverse magnetic fields

In this paper the analysis is given for two metal thin plates that possess the same material, size and shape, but may possess different quiet force boundary conditions, displacement boundary conditions and under different constant transverse magnetic fields. The reciprocal theorem method is found between the two metal plates to solve their reactions under the act on of constant transverse magnetic fields. As an example, the method is applied to calculate the nature frequencies of metal thin rectangular plate with two opposite edges simply supported and the other two edges clamped in transverse magnetic field. The calculation shows that the method is convenient and applicable and can be adopted in engineering.