Investigation on the Time Response and Natural Fre-quencies of Cantilever Plates under Rotating Condition

The eigenvalue problem for the natural frequencies and the time response of a rotating canti-lever orthotropic plate is investigated by employing the extended Galerkin method and ex-tended Kantorovich method. The accuracy and efficiency of the results are established by comparison of two methods which show good agreement. The effects of the choice of trial functions and different number of mode shapes have been presented. Also, the influence of dimensionless parameters such as the hub radius ratio, stagger angle, etc. on the modal char-acteristics of rotating plats is examined. Numerical results show that the centrifugal stiffening rate of the plate in different stiffness ratios is affected by rotational speed and that rate is de-pended on hub radius ratio and stagger angle.

Keywords:

Rotating blade , Cantilever plates , Orthotropic plates , Response of system.