This work describes analytical and simulation investigations of order-tuned and impact vibration absorbers that are used to attenuate vibrations of flexible blades in a bladed disk assembly. These absorbers exploit the centrifugal field arising from rotation so that for small amplitudes they are tuned to a given order of excitation, and they use impacts to dissipate energy at larger vibration amplitudes. Analytical results are obtained for idealized models; these show that for impact-free motion optimal reduction of blade vibrations and robustness are achieved by tuning the absorbers slightly below the excitation order. During impact operation, absorber performance is largely insensitive to the tuning order, but depends on the absorber mass and impact properties. These results offer a basic understanding of the dynamics of individual blades fitted with order-tuned and impact vibration absorbers, and serve as a first step to the investigation of more realistic models.
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