Vibration of a mistuned bladed disk under fluctuating rotor speed

This paper deals with the stability and forced response of a bladed disk under fluctuating rotor speed which leads to time varying blades’ stiffnesses. Inevitable small variations in blades’ stiffnesses due to manufacturing tolerances result in time-varying mistuning. Using the method of slowly varying parameters, stability conditions are obtained analytically and verified by numerical solution of governing differential equations. The stabilizing effects of random and alternate mistuning are investigated in the presence of time varying blades’ stiffnesses. For stable bladed disks with time-varying random mistuning and with constant random mistuning, statistical distributions of the peak maximum amplitude are generated via Monte Carlo simulations at 0.1% and 1% damping ratios.