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

A dynamic model of a straight, rotating blade is used and the equations of motion as well as the boundary conditions are extracted from the corresponding variational formulas. The Chebyshev collocation method is applied to discretize the two-dimension equations of motion on a 2D mesh grid. With an appropriate implementation on the dynamic boundary conditions, a coupled 2 nd order ordinary differential equation is obtained for the numerical simulation. A validation study with the convergence analysis is performed showing an acceptable agreement and a parametric analysis is implemented giving a Campbell diagram. Furthermore, the results archived by this method can be applied to both forced response and transient analyses.

Leif Kari

Papers

A study of a dynamic rotating blade at an arbitrary stagger angle using Chebyshev collocation method