On tuned bladed disk dynamics: Some aspects of friction related mistuning

Abstract In this paper, a discrete multi-degree of freedom model of a tuned disk is considered. The hysteretic material damping and interblade and blade-to-disk friction forces are included. It is shown that the irregularities of the friction forces and of the harmonic excitation pattern cause mistuning of the system. Optimal conditions of friction were found analytically for the tuned case. They depend on the values of the friction forces, amplitudes and phases of excitation, represented as variations of a traveling wave of excitation. The response amplitude of the blades is minimum for optimal friction. Similar considerations were applied to find the optimal blade mass and stiffness parameters for minimal response amplitudes. These considerations give a new insight into the effects of blade mass and stiffness characteristics as they affect the reduction of vibratory response amplitudes by friction.

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