https://doi.org/10.1140/epjs/s11734-025-02038-4
Regular Article
Complex dynamics of a conceptual airfoil structure excited by the long-range correlation random load
1
School of Mathematics and Information Science and Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, 750021, Yinchuan, China
2
School of Mathematics and Statistics and MOE Key Laboratory for Complexity Science in Aerospace, Northwestern Polytechnical University, 710072, Xi’an, China
Received:
25
August
2025
Accepted:
17
October
2025
Published online:
29
October
2025
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.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
