Transfer function method for the flutter of aircraft wings with an external store

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (10) : 109-116.

Duan Jingbo 1,2 Jiang Tao 2

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Abstract

Transfer function method is applied to the flutter of aircraft wings carrying an external store. Firstly, the flutter differential equation of a clean wing is established by combining the bend-twist vibration equations of the wing and the Therdorson’ unsteady aerodynamics model. Then, the external store hung below the wing by a pitch spring is regarded as a rigid body owning a certain mass and rotary inertia. The influence of the external store on the wing flutter is introduced through the deformation harmony and internal force balance conditions. Further, using the transfer function method, the control equations are formulated in a state-space form by defining a state vector. Both the flutter velocity and flutter frequency are obtained by solving a complex eigenvalue problem. The results are good agreement with the literature solutions and the finite element method solutions, which indicates that the present method is accurate and efficient. Finally, the effects of the mass, rotary inertia, position and pitch stiffness of the pylons are investigated.

Key words

aircraft wing with an external store / unsteady aerodynamics / flutter / transfer function method

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Duan Jingbo 1,2 Jiang Tao 2 . Transfer function method for the flutter of aircraft wings with an external store[J]. Journal of Vibration and Shock, 2017, 36(10): 109-116

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