Free vibration analysis of rotating cantilever plates

Linearized equations of motion for the free vibration analysis of rotating cantilever plates are derived. Two inplane stretch variables are introduced and approximated to obtain the ordinary differential equations of motion. The use of the two in-plane stretch variables enables one to obtain the equations of motion, which include proper motion-induced stiffness variation terms. The equations of motion are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating cantilever plates are investigated through numerical study. The eigenvalue loci veering and crossing along with the associated mode shape variations are also presented and discussed.