A dynamic rotating blade model at an arbitrary stagger angle based on classical plate theory and the Hamilton's principle

A dynamic rotating blade model is developed by using a plate model at an arbitrary staggerangle. Hamilton’s principle is applied to derive a system of equations of motion and the corre-sponding boundary conditions. Numerical simulation is implemented to perform eigenfrequencyanalysis by the Extended Galerkin method. Validation is made by comparison of the results withthose of the reference literatures. In addition, parametric analysis is performed with respect torotation speed and stagger angle, respectively. Results show a good agreement with those of the¿nite element method. Finally, forced response analysis is determined for two cases; a pointforce and a distribution force, using a proportional damping model