This study is the first to investigate the complex nonlinear dynamics of the blisk structure under both parametric, external and extreme random excitations. The extreme load is modeled by Lévy colored noise with heavy-tailed characteristics and temporal correlation. The amplitude-frequency response equations are derived using the averaging method. The amplitude-frequency response curves reveal the hardening nonlinearity and bistable characteristics of the blisk system under primary parametric resonance and 1:1 internal resonance. Notably, a low-frequency side peak in the response of the disk signifies energy transfer from the blade to the disk. Within the bistable region, Lévy colored noise induces the occurrence of stochastic switching between low- and high-amplitude oscillation states, as well as stochastic resonance. Importantly, larger noise intensities or shorter correlation times lead to persistent high-amplitude oscillations, which are observable through the time history and wavelet transform. This phenomenon may result in fatigue damage to the blisk structure and even exert a catastrophic impact on aircraft safety. Therefore, we introduce the mean first passage time and define a transition probability to quantify this state transition. The results demonstrate that greater noise intensity, shorter correlation time, or a smaller stability index markedly increase the likelihood of the catastrophic transition. The above findings can provide new theoretical support for the long-term stable operation, structural health monitoring, and fault diagnosis of aeroengines in extreme environments.
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