For the nondeterministic factors of an aeroengine blisk, including both factors with sufficient and insufficient statistical data,\nbased on the dynamic substructural method of determinate analysis, the extremum response surface method of probabilistic\nanalysis, and the interval method of nonprobabilistic analysis, a methodology called the probabilistic and nonprobabilistic hybrid\nreliability analysis based on dynamic substructural extremum response surface decoupling method (P-NP-HRA-DS-ERSDM) is\nproposed. The model includes randomvariables and interval variables to determine the interval failure probability and the interval\nreliability index. The extremum response surface function and its flow chart of mixed reliability analysis are given. The interval\nanalysis is embedded in the most likely failure point in the iterative process. The probabilistic analysis and nonprobabilistic analysis\nare investigated alternately. Tuned and mistuned blisks are studied in a complicated environment, and the results are compared\nwith the Monte Carlo method (MCM) and the multilevel nested algorithm (MLNA) to verify that the hybrid model can better\nhandle reliability problems concurrently containing random variables and interval variables; meanwhile, it manifests that the\ncomputational efficiency of this method is superior and more reasonable for analysing and designing a mistuned blisk. Therefore,\nthis methodology has very important practical significance.
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