Dynamic response optimization algorithm applied to random geometrically mistuned bladed disks

Unavoidable manufacturing tolerances in bladed disks can lead to geometric mistuning and generate vibration amplification, which can significantly reduce the reliability of the bladed disks. With the development of 3D measurement as well as high-fidelity modeling techniques, it has become convenient to obtain accurate geometric mistuned bladed disk models. However, the blade vibration response is very sensitive to the geometric mistuning parameters, and it is very difficult to optimize the geometric mistuning directly. In this paper, we propose a blade arrangement optimization algorithm to reduce the blade dynamic response amplification caused by the unavoidable geometric mistuning and investigate the influence law of the magnitude of geometric mistuning on the amplification of blade response. We have validated the optimization method by sampling some geometrically mistuned bladed disks through Monte Carlo simulations. The results show that the optimization algorithm can reduce the blade amplitude amplification ratio by more than 5%.