空间超长波天线绳系系统动力学建模与分析

Modeling and Analysis on Dynamics of Space Extremely Low Frequency Antenna with Tethered System

针对超长波天线在空间的应用前景,以北理工2号绳系卫星(BP-2)为研究对象,对空间超长波天线绳系系统的动力学建模和分析进行了研究。首先采用Lagrange方法建立了该系统的新型动力学模型,在建模过程中充分考虑系绳的质量、弹性和阻尼耗散,以及系绳释放过程中卫星质量和系统质心的变化,使动力学模型更加完善;其次分析了绳系在自由释放状态下从开始到相对稳定的运动全过程,探究了面内角、面外角和绳长的变化情况;然后考察了释放初始条件对于系统稳定性的影响,并运用遍历法得到绳系系统无控状态下的最优释放初值,为绳系卫星的空间试验提供了理论支持。

Aiming at the application prospect of extremely low frequency in space, the modeling and analysis on dynamics of extremely low frequency antenna with tethered system based on BP-2 satellite are studied in this paper. Firstly, a new dynamic model of the system is established by Lagrange method. In the modeling process, the mass, elasticity and damping dissipation of the tether are fully considered, as well as including the changes of satellite mass and system centroid during tether release so that making the dynamic model is more perfect;Secondly, the whole movement process of the tethered system from the beginning to relative stability under the free release state is analyzed, and the changes of in-plane angle, out of plane angle and tether length are explored;Finally, the influence of the initial release conditions on the stability of the system is investigated, and the optimal initial release value of the uncontrolled tethered system is obtained by using the ergodic method, which provides theoretical support for the space trial of tethered satellites.