Statistical distribution of the peak maximum amplitude of the forced response of a mistuned bladed disk: Some investigations and applications of neural networks

This paper examines the nature of the statistical distribution of the peak maximum amplitude of the forced response of a mistuned bladed disk. Monte Carlo simulations are performed for a range of values of the structural coupling between blades and the standard deviation of mistuning. First, it is determined if the statistical distribution of a peak maximum amplitude can be called three-parameter Weibull in general. Next, using a neural network, a functional relationship between the statistics of the peak maximum amplitude;e.g., parameters of Weibull distribution, statistical moments, 99 percentile amplitude, and input parameters (structural coupling between blades and standard deviation of mistuning) is developed.