作大范围运动刚柔混合体的动力学建模与仿真

Dynamical modeling and simulation of rigid-flexible hybrids in large overall motions

考虑耦合效应的柔性空间结构耦合动力学研究在航空航天领域具有重要的应用价值.用有限元法对柔性结构进行离散化处理,得到了柔性结构的模态阵.以模态展开方法以及Kane方程为理论基础,建立了作大范围运动刚柔混合体的动力学模型,并通过Matlab软件编写程序进行求解.为了检验该动力学模型及其程序的正确性,将Matlab仿真结果与商用软件仿真结果进行对照,进而验证了该仿真的正确性.本研究解决了中心刚体加柔性附件这一类航天器的动力学仿真问题.

The coupling dynamics study of spacial flexible structures that takes the coupling efforts into account is of great importance in aerospace field. The flexible structures were discretized by means of finite element method（FEM） , and modal matrix of the flexible structures was obtained. The dynamical model of rigidflexible hybrids in large overall motions was established based on the theory of modal superposition method and Kane equations. And then, the equations were solved througth Matlab programming. The validity of dynamical model and Matlab programming was verified by comparision of the results of Matlab simulation and businesssoftware simulation. This research solves dynamical simulation of the spacecraft composed of rigid central body and flexible appendages.