Free vibration analysis of a rotating skew plate by using the absolute nodal coordinate formulation

The skew angle is an important feature for the rotating plate, which has a significant influence on the modal characteristics of the vibration. However, the variation of modal properties induced by the skew angle for a rotating cantilever plate has seldom been studied, and most work has been focused on the static behaviors or free vibration analysis of non-rotating skew plates in the existing literature. A novel dynamic model using a floating frame of reference (FFR) based on the absolute nodal coordinate formulation (ANCF) shell element is proposed to investigate the vibration behaviors of a rotating skew plate. The convergence and validation analyses are performed, and the results obtained by the present method are verified by comparing with those in the available literature. A detailed parameters investigation on the effects of skew angle, aspect ratio, hub radius and stagger angle on the variations of modal characteristics are demonstrated. The eigenvalue loci veering phenomena along with the corresponding mode shape variations are presented and comprehensively discussed. In addition, it is found that the skew plate may buckle due to the non-uniform centrifugal force, which leads to the zero fundamental frequency by the critical rotational speed.