Free in-plane vibration analysis of rotating rectangular orthotropic cantilever plates

• Analytical-type solution is proposed for free in-plane vibration of rotating rectangular orthotropic plates.
• The results obtained by the Extended Kantorovich method are compared with obtained results by EGM.
• The Campbell diagram of system is plotted.
• The influence of different parameters on the natural frequencies is investigated.
• The parametric analysis on the in-plane mode shapes of rectangular orthotropic rotating plates is conducted.

The aim of the present work is to provide results for in-plane vibrations of rotating orthotropic cantilever plates. To this end, the equations of motion include the effect of Coriolis are derived by Hamilton's principle and then solved using a Extended Kantorovich Method (EKM). The EKM results are validated by comparison with the results obtained via a Extended Galerkin Method and compared by available results in the literatures which show good agreement. The effects of the dimensionless parameters on the natural frequency are investigated and the resonant frequencies and Tune speeds are also presented and discussed. The observation of the results in different cases shows that increasing speed of rotation may vary the natural frequencies and the rate of these variations is dependent on the stiffness ratio. Incidentally, the parametric analysis on the in-plane mode shapes of rectangular orthotropic rotating plates is conducted.