Implementation of Intentional Mistuning by Means of Finite Element-Based Shape Optimization

Abstract Intentional mistuning (IM) has turned out to be an effective measure to alleviate the maximum forced response of bladed wheels in the framework of numerous studies in the past. In particular, solutions based on two different blade designs, following, e.g., alternating or AABB patterns, have proved to be promising in this regard and moreover robust against the impact of unavoidable random mistuning. Thus, for example, a 40% reduction of the first blade bending maximum forced response has been proved experimentally for a turbine impeller of a turbocharger application. Despite this success, the technical implementation of the frequency-based mistuning pattern followed an academic solution based on locally removing material at the leading edge tip, which is not suited for the use in serial wheels since it may disturb the flow channel. In addition, the forced response of other blade modes may be affected in a negative manner. In order to overcome these problems, an alternative way of implementing intentional mistuning is suggested by applying a marginal geometric modification of the blade thickness distribution to adjust the natural frequency of the first bending mode. Finite element-based shape optimization is utilized to this end. Secondary conditions are ensuring that only the target frequency of the first bending mode is adjusted, whereas natural frequencies of other modes are kept almost unchanged.