Stochastic flutter analysis of a three-degree-of-freedom airfoil under vertical turbulence disturbance

Hao, Y.; Guo, X.Y.; Fu, Y.B.

Abstract

This paper investigates the nonlinear stochastic dynamic response of a three-degree-of-freedom(3-DOF) airfoil with high substructural nonlinearity under vertical turbulent disturbances. Considering a two-dimensional flow field, the Dryden turbulence model is used to describe the vertical turbulent disturbance, and a nonlinear stochastic aerodynamic model based on the Theodorsen theory is established for the stochastic flutter problem of the wing. An analysis is conducted to reduce the dimensionality of the airfoil system and solve the critical flutter velocity of the system. The Monte-Carlo method is applied to analyze the stochastic P-bifurcation problem of the system, and the effects of parameters such as the incoming velocity, turbulence scale and intensity on the stochastic dynamics behavior of the system are clarified. It is shown that the amplitude of the steady-state oscillation of the system increases with the incoming velocity and turbulence intensity, whereas the critical flutter speed decreases with increases in these parameters.

Citation

Hao, Y., Guo, X., & Fu, Y. (2024). Stochastic flutter analysis of a three-degree-of-freedom airfoil under vertical turbulence disturbance. International Journal of Non-Linear Mechanics, 158, Article 104584. https://doi.org/10.1016/j.ijnonlinmec.2023.104584

• Journal Article Type: Article
• Acceptance Date: Nov 2, 2023
• Online Publication Date: Nov 10, 2023
• Publication Date: 2024-01
• Deposit Date: Mar 13, 2024
• Journal: International Journal of Non-Linear Mechanics
• Print ISSN: 0020-7462
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 158
• Article Number: 104584
• DOI: https://doi.org/10.1016/j.ijnonlinmec.2023.104584
• Keywords: Applied Mathematics; Mechanical Engineering; Mechanics of Materials
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0020746223002366?via%3Dihub
• Additional Information: This article is maintained by: Elsevier; Article Title: Stochastic flutter analysis of a three-degree-of-freedom airfoil under vertical turbulence disturbance; Journal Title: International Journal of Non-Linear Mechanics; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.ijnonlinmec.2023.104584; Content Type: article; Copyright: © 2023 Elsevier Ltd. All rights reserved.