Flapwise bending vibration of rotating plates

Linear equations of motion for the apwise bending vibration analysis of rotating plates are derived in the present work. The equations of motion are transformed into dimensionless forms in which three dimensionless parameters are identi ed. The e ects of the dimensionless parameters on the characteristics of the apwise bending vibration of rotating plates are investigated. The accuracy of the present modelling method is veri ed through comparing its numerical results to those obtained by an existing method in the related literature. Eigenvalue loci crossing and eigenvalue loci veering phenomena are observed and discussed. The variations of mode shapes associated with the phenomena are also exhibited