The frequency veering of a metal porous rotating cantilever twisted plate with twist angle and stagger angle is investigated. Metal porous materials may have the characteristics of gradient or uniform distribution along the thickness direction. Based on the classical shell theory, considering the influence of centrifugal force produced by high-speed rotation, the free vibration equations of a rotating cantilever twisted plate are derived. Through the polynomial function and Rayleigh–Ritz method, the natural frequencies and mode shapes of the metal porous cantilever twisted plate in both static and rotating states are derived. The accuracy of the present theory and calculation results is confirmed by a comparison between them and the results available from the literature and those obtained from Abaqus. The influences of the thickness ratio, porosity, twist angle, stagger angle and rotational velocity on the frequency veering and mode shape shift of the rotating cantilever twisted plate with porous material under three different distributions are analyzed. It should be mentioned that the frequency veering accompanied by mode shape shift occurs in both static and dynamic states.

研究了具有扭曲角和交错角的金属多孔旋转悬臂扭曲板的频率转向。金属多孔材料可具有沿厚度方向梯度或均匀分布的特性。基于经典壳理论，考虑高速旋转产生的离心力的影响，推导出旋转悬臂扭曲板的自由振动方程。通过多项式函数和Rayleigh-Ritz方法，推导出金属多孔悬臂扭曲板在静态和旋转状态下的固有频率和振型。本理论和计算结果的准确性通过将它们与文献中可获得的结果和从 Abaqus 获得的结果进行比较来证实。厚度比的影响，分析了孔隙率、扭曲角、交错角和旋转速度对三种不同分布下多孔材料旋转悬臂扭曲板的频率转向和模态形移的影响。应该提到的是，伴随着模态形状偏移的频率转向发生在静态和动态状态。