中文摘要：

随着飞行器结构模态频率与刚性模态频率愈加接近,弹性效应对弹性飞行器飞行动力学特性的影响变得愈加明显,特别是操稳特性将变得更加的复杂和严峻,已经不能用＂刚性飞行器＂的分析方法进行研究,因此迫切需要为弹性飞行器建立能够包含多学科耦合的飞行动力学模型。本文对弹性飞行器飞行动力学建模的相关研究进行了总结与发展：首先简要阐述了建立多学科耦合弹性飞行器飞行动力学模型的必要性;然后对传统的弹性飞行器飞行动力学模型进行了研究,分析总结了这些方法的优缺点;最后在此基础上提出了一种新的体轴系（瞬态坐标系）,并利用拉格朗日方程和有限元思想推导了该坐标系下的动力学模型,该模型克服了传统模型的缺点,并准确自然地耦合了结构动力学、飞行动力学、空气动力学与控制等学科,较现有的模型而言,该模型能更充分更全面的描述弹性飞行器飞行过程中流场、结构、控制和飞行力学之间的交叉耦合特性。本文的研究成果可为弹性飞行器的动态特性分析提供必要的理论基础。

英文摘要：

The effect of flexibility on the flight dynamics of flexible aircraft has been shown to be quite significant,especially as the frequencies of the elastic modes become lower and approach those of the rigidbody modes.The handling characteristics may become complex drastically.Consequently,the need to model accurately the dynamics of such vehicles,and to develop valid simulations,is becoming particularly acute.The key theories and results aimed at developing integrated equations of motion for a generic flexible aircraft model are reviewed.First,the significance of obtaining a valid mathematical model of an aeroelastic vehicle is outlined.After that,the theories of modeling dynamic systems are elaborated,as well as the selection of the floating reference frames by which the motion of flexible aircrafts can be described.Then followed by a discussion on the existing models,their advantages and disadvantages are also summarized.Based on the investigations,a novel floating frame（instant-coordinates） was put forward;it contains the advantages of both the mean axes and the quasi-coordinates.A new formulation,integrates seamlessly all the necessary materials from the areas of flight dynamics,structural dynamics,aerodynamics and controls,was formulated through the use of Lagrange ’ s equations in terms of the new floating frame.The formulation is modular in nature,in the sense that the structural model,the aerodynamic theory,and the controls method can be replaced by any other ones to better suit different types of aircraft,provided certain criteria are satisfied.In the end,some comments and future directions on modeling the highly flexible aircrafts are addressed.