论分布式陀螺柔性体结构的动力学建模问题
陈金, 金栋平, 刘福寿
摘要:针对含分布式控制力矩陀螺的柔性体结构动力学建模问题,研究了结构和陀螺之间相互耦合对结构固有振动的影响。通过基于有限元离散的建模思路,获得了含分布式控制力矩陀螺的结构动力学模型。对比模态叠加方法,提出原柔性体模态的概念。结果表明,分布控制力矩陀螺对结构固有振动产生了本质的影响。基于原柔性体结构前几阶模态的模态叠加法,由于没有计入结构和陀螺之间的耦合效应,所得到结构动力学降阶模型具有较大误差。
关键词:陀螺柔性体,结构动力学,模态叠加法,模型降阶,原柔性体模态
On Dynamic Modeling of Distributed Gyros Flexible Structures Jin Chen, Dongping Jin, Fushou Liu Abstract: The paper deals with dynamic modeling of flexible structures with control moment gyros, using finite element method and modal superposition. Based on the finite element discretization method, the equations of motion of the flexible structure including the distributed control moment gyros are obtained. Compared with the modal superposition method, the concept of original flexible structure mode is proposed first. Numerical results show that distributed control torque gyros have an essential effect on the natural vibration of structures. The reduced dynamic model established by the modal superposition method based on the first several modes of the original structure has a massive error because of the coupling effects between the structure and the gyros. |
Keyword: gyros flexible structure structural dynamics modal superposition reduced order model original flexible structure mode |