DYNAMIC AND RESONANCE RESPONSE ANALYSIS FOR A TURBINE BLADE WITH VARYING ROTATING SPEED

摘要

A coupling model between turbine blades with a varying rotating speed and oncoming vortices is constructed, where the coupling of the structure and the fluid is simulated by the van der Pol oscillation. Partial differential governing equations of motions for the coupled system are obtained and discretized by using the Galerkin method. The 1:2 subharmonic resonance and the 1:1 internal resonance are investigated with the multiple scale method and first-order averaged equations are then derived. Nonlinear responses and bifurcation characteristics are studied Ity a numerical integration method. Stability of bifurcation curves is determined by utilizing the Routh-1 lurwitz criterion. The effect of system parameters including the &tuning parameter, steady-state rotating speed, amplitude of periodic perturbation for the rotating; speed and freestream velocity on vibration responses are investigated.