ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Unsteady aerodynamic modeling for transonic flutter based on Theodorsen’s theory
Received date: 2024-10-23
Revised date: 2024-12-05
Accepted date: 2025-02-09
Online published: 2025-02-21
Supported by
Zhiqiang Fund Project;Sichuan Natural Science Foundation(2023NSFSC0400)
A transonic unsteady aerodynamic modeling method is proposed for coupled pitching and plunging flutter of aircraft wing. This method extends the classical incompressible Theodorsen theory to transonic unsteady flows. By considering the changes of lift-curve slope by compression effect in transonic flows， as well as the shifts of aerodynamic center caused by unsteady shock wave movement， a transonic correction function for Theodorsen’s theory is constructed， and an unsteady aerodynamic model is established to capture the changes in the amplitude and phase of unsteady aerodynamic forces in transonic flow. Using the Isogai wing as a case study， this study investigates the construction of the transonic correction function， the characteristics of the correction function and unsteady aerodynamic forces， the influence of the elastic axis， and the nonlinear features of flutter. The results indicate that the correction function effectively captures the oscillatory behavior of shock waves on the wing surface in transonic flow， leading to a reduction in amplitude and phase lag of unsteady aerodynamic forces. The parameter values of correction function obtained from a specific elastic axis can be generalized to any elastic axis condition. The unsteady modeling method in this paper can accurately represent the nonlinear characteristics of transonic aerodynamic forces and achieve efficient and accurate prediction of transonic flutter characteristics.
Yongping LIU , Peng ZHANG , Kaichun ZENG , Li YU , Xiping KOU . Unsteady aerodynamic modeling for transonic flutter based on Theodorsen’s theory[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(12) : 231434 -231434 . DOI: 10.7527/S1000-6893.2025.31434
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