Effects of contact mistuning on shrouded blisk dynamics

Mistuning commonly refers to non-cyclically symmetric variations in such an otherwise cyclically-symmetric structure. Mistuning in a blisk due to variations in blade materials and geometry have been studied extensively and are known to have a significant impact on the forced response of blisks. However, mistuning can also arise due to variations at contact interfaces within a blisk with friction damping mechanisms such as under platform dampers or shrouds. Past literature analyzing the effect of this source of contact mistuning is limited, particularly by the use of lumped or single-node contacts at each sector to shorten analysis times. In this paper, we aim to better understand the specific effects of parameter variations across contact interfaces on an otherwise tuned blisk. A blisk with shroud to shroud contacts is considered. Accurate representation of microslip phenomena are incorporated in the analysis by modeling multiple localized node to node contact models at contact surfaces on each blisk sector. Contact stiffnesses which dictate the friction damping dynamics of the shrouds are chosen as the mistuning parameters. The harmonic balance method is used to solve for forced responses. We analyze cases with random patterns of contact stiffnesses in different microslip regimes in the proximity of different modal regions. Probabilistic analysis of nonlinear contact responses are carried out close to a linear region where comparatively high amplification factors are observed. Statistics are also developed for linear cases and compared with the nonlinear case to qualify the dependence of amplification factors of nonlinear forced responses on the level of microslip and on the variance of contact parameters.