Probability characteristics of vibratory mode of bladed disk assemblies with random stiffness mistuning

Based on the lumped-parametric model with two-degree-of-freedom per blade disk sector and its Monte Carlo simulation,the vibration characteristics of a typical bladed disk with different random mistuning of stiffness was researched,with particular regard to the subjects of the probability characteristics of natural frequencies and shapes.Alumped-parametric model was built and the natural mode properties of the model without mistuning were discussed.The definition of a modal localization factor was presented to assess quantitatively the behavior of shape localization for the mistuned bladed disk.Then the statistical characteristics of the natural frequencies and mode shapes were simulated and their main properties were explained.Results indicate that the influences of blade and coupling stiffness mistuning on modal characteristics are distinct in that they influence in different frequency ranges.And the localization factor in the frequency ranges affected by mistuning could change abruptly.