Application of multi-stage multi-objective multi-disciplinary agent model based on dynamic substructural method in Mistuned Blisk

A method called multi-stage multi-objective multi-disciplinary agent model based on dynamic substructural method (MSMOMDAM-DSM) is proposed. For a large amount of calculation, it can increase the mistuned blisk's computational efficiency more significantly comparing with the traditional probability analysis method when the request of computational accuracy is satisfied. Deterministic analysis is investigated based on the improved hybrid interface substructural component modal synthesis method (IHISCMSM). It demonstrates that the symmetry is broken and the localization phenomenon is observed when the blisk is mistuned. Meanwhile, the frequency response function (FRF) manifests that multiple peaks are observed in different frequencies when the mistuning level is greater than 0% which are caused by the combined behavior of resonance and mistuning. On the base of deterministic analysis, the most dangerous point of mistuned blisk is extracted as response amplitude and the probability analysis is investigated. The probability density distribution function (PDDF) of random variable is given and the limit state equation (LSE) of radial deformation, sampling history, simulation sample, cumulative distribution function (CDF) and histogram distribution are obtained. The sensitivity and the scatter diagram are also analyzed which manifests that some variables are positive while some are negative and the rotational speed is the importance degree. Probability design and inverse probability design are also researched which lay a solid foundation for designing safe and reasonable blisk. At last, it is verified that the computational accuracy and efficiency of MSMOMDAM-DSM is superior to support vector machine-response surface method (SVM-RSM).