A novel mathematical model for the design of the resonance mechanism of an intentional mistuning bladed disk system

Bladed disk systems with advanced functions are widely used inturbo-machineries. However, there are always deviations in physical dynamicproperties between blades and blades due to the tolerance and wear inoperation. The deviations will lead to vibration localization, which will result in high cycle fatigue and accelerate the damage of the bladed disksystem. Therefore, many intentional mistuning patterns are proposed toovercome this larger local vibration. Previous studies show that intentionalmistuning patterns can be used to reduce the vibration localization ofthe bladed disk. However, the determination of the resonance mechanism of the intentional mistuning bladed disk system is still an unsolved issue. In thispaper, a novel mathematical model of resonance of an intentional mistuning bladed disk system is established. Mistuning of blades and energy resonanceare included in this theoretical model. The method of the mechanical power of the rotating blade for one cycle is applied to obtain the resonancecondition. By using this theoretical model, the resonance mechanism of an intentional mistuning bladed disk is demonstrated. The results suggest thatthe ideal results can be obtained by adjusting the intentional mistuningparameter. This paper will guide the design of the dynamic characteristics of the intentional mistuning bladed disk.