Characterizing optimal mistuning by symmetry arguments: a general framework applied to a dynamic flutter model

Mistuning is considered as a viable passive control scheme for flutter instabilities in turbomachines. We present a model-independent framework, primarily based on symmetry arguments, for analyzing and optimizing stability increases due to mistuning. Analysis reduces to a block circular eigenvalue/vector problem which can be solved efficiently for large systems, and the synthesis or optimization problem is cast as a standard linear constraint, quadratic programming exercise. The methods are then applied to a dynamic flutter model.