带外挂机翼颤振分析的传递函数方法

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

将传递函数方法应用于带外挂机翼的颤振分析。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。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。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,验证了该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。

The transfer function method was applied to analyse the flutter of aircraft wings carrying an external store.The flutter differential equation of a clean wing was established by combining the bending-twist vibration equation of the wing and the Therdorson's unsteady aerodynamics model.The external store hung below the wing by a pitch spring was regarded as a rigid body owning a certain mass and rotary inertia.Then,the influence of the external store on the wing flutter was introduced by considering the conditions of deformation harmony and internal force balance.Further,using the transfer function method,the control equations ware formulated in a state-space form by defining a state vector.Both the flutter velocity and flutter frequency were obtained by solving a complex eigenvalue problem.The results are in good agreement with the literature solutions and the finite element 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 ware investigated.