带外挂机翼颤振分析的传递函数方法

段静波1,2,江涛2

振动与冲击 ›› 2017, Vol. 36 ›› Issue (10) : 109-116.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (10) : 109-116.
论文

带外挂机翼颤振分析的传递函数方法

  • 段静波1,2,江涛2
作者信息 +

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

  •   Duan Jingbo 1,2   Jiang Tao 2
Author information +
文章历史 +

摘要

将传递函数方法应用于带外挂机翼的颤振分析。首先,利用干净机翼的弯扭振动微分方程和Therdorson非定常气动力模型建立了机翼颤振方程。其次,将外挂视为与机翼连接的具有质量及转动惯量的刚体,且考虑机翼与外挂间的俯仰联接刚度,通过变形协调和内力平衡等连接条件引入机翼颤振模型。然后,运用传递函数方法,将颤振微分方程转换为状态空间形式,通过求解复特征值问题获得了带外挂机翼的颤振速度和颤振频率。通过与已有文献及有限元结果对比,验证了本文方法的正确性和有效性。最后,讨论了外挂质量、转动惯量、外挂位置、挂架俯仰联接刚度等因素对带外挂机翼颤振特性的影响。

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.      

 

关键词

带外挂机翼 / 非定常气动力 / 颤振 / 传递函数法

Key words

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

引用本文

导出引用
段静波1,2,江涛2. 带外挂机翼颤振分析的传递函数方法[J]. 振动与冲击, 2017, 36(10): 109-116
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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