考虑动力刚化的挠性飞行器动力学建模与仿真∗

摘要

The rigid flexible coupling physical model of flexible aerocraft investigated in this paper. By introducing the theory of mechanics problems in a non-inertial coordinate system, the model with dynamic stiffening established, and it is clearly elucidate that, dynamic stiffe-ning is a typical mechanics phenomenon in a non-inertial coordinate system. First, material mechanics and angular momentum principle are employed to establish continuous dynamic models of the subsystems. Then, based on the conclusions of orthogonalization of the normal con-strained modes, the finite dimensional dynamic models are obtained. The numerical simulations show that, the first-order dynamic model established in this paper has considered dynamic stiffening. Thus, it could predict the dynamic responses of the flexible aerocraft with large accurately, and can be directly used in controller design.%文中以挠性飞行器的刚柔耦合物理模型为研究对象，引入非惯性系中的力学问题理论，建立了考虑动力刚化的模型，明确地阐明了动力刚化是一种非惯性系中的力学现象。首先分别应用材料力学和角动量定理建立了两个子系统的连续动力学模型，而后基于正则约束模态的正交化结论，建立了离散动力学模型。数值仿真结果表明，文中建立的一次动力学模型考虑了动力刚化，能够准确预测大角度机动下挠性飞行器的动力学响应，可直接用于控制器设计。