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利用板的挠曲面微分方程和振型方程在数学上及力学上的相似性，提出了分析矩形板固有频率的功的互等定理法．通过设定满足位移边界条件的振型函数并进行适当的转换，可方便地得到团支矩形板自由振动的频率方程．
Based on the mathematics and mechanics similarity of the differential equation and mode equation of the flexural plate, the reciprocal equivalence theorem of the work of the natural frequency of the rectangular plate is proposed. By setting the modal functions satisfying the displacement boundary conditions and performing the appropriate conversion, the frequency equations of the freely vibrating rectangular plates can be easily obtained.