Complex dynamics of a conceptual airfoil structure excited by the long-range correlation random load

In practical flight scenarios, an aircraft encounters highly intricate flight conditions that wield a substantial influence on its flight safety. Consequently, gaining a comprehensive understanding of the dynamics of an aircraft’s airfoil structure under actual load conditions is not only of paramount importance but also an absolute necessity. In this research, we delve into the complex dynamical behaviors of a conceptual airfoil. The airfoil is excited by an external harmonic load and a long-range correlation random load, which is represented by a fractional Gaussian noise. First, we analyze the bistable behaviors of the deterministic airfoil system through amplitude–frequency response. Subsequently, we conduct a comprehensive investigation into the effects of the long-range correlation random load on the airfoil system. Intriguingly, within the bistable regime, the long-range correlation random load can trigger unexpected stochastic transition behavior between the desired low-amplitude oscillations and the catastrophic high-amplitude oscillations. These vibration patterns present a significant threat to the structural integrity of the airfoil, which in turn puts the safety of the entire aircraft at risk.