摘要：在Theodorsen二元气动力的基础上，建立非定常气动力时域内积分形式的表达式或者等价的频域表达式，利用粘弹性结构振动分析中对积分方程的等价变换将其写成与结构动力学方程一致的二阶常微分方程，将气动力的影响作为对结构有限元模型质量阵、刚度阵和阻尼阵的补充，保留了结构原有的所有动力学特性，并且能够直接用计算结构动力学的通用有限元软件进行空气-结构耦合的整体动力学分析，适合应用于具有复杂结构的气弹问题。气动力模型的建立可以利用各种试验及数值方法得到的气动力数据，适用性强。算例给出了大展弦比机翼的颤振边界计算结果。

Abstract: The expression of the unsteady aerodynamics in time domain or frequency domain is established based on Theodorsen theory. The expression with integration was converted into second order differential equation. The unsteady aerodynamics on the structure was regarded as the reinforcement of the mass matrix, stiffness matrix and damping matrix of the finite-element model of structure. The whole dynamic characteristics were reserved. The general finite-element software could be used to calculate the flutter boundary of the air-structure coupling model. The method is suitable for the aeroelastic problem with complex structure. The unsteady aerodynamics data getting from any numerical methods or experiments can be used to establish the unsteady aerodynamics model which makes the method applicable to different cases. The flutter boundary of high-aspect ratio wing is calculated.