基于非线性单元模型的绳系卫星系统动力学  

DYNAMICS OF TETHERED SATELLITE SYSTEM BASED ON NONLINEAR UNIT MODEL

作　　者：刘壮壮[1] 宝音贺西[1] 

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《动力学与控制学报》2012年第1期21-26,共6页Journal of Dynamics and Control

摘　　要：建立连续绳系卫星系统的离散的可变自由度有限维动力学模型,描述其长时间空间大范围运动.绳系卫星系统为复杂的非线性动力学系统.考虑了系绳的黏弹性、分布质量和空间位形,使得建立的改进珠式模型能够细致地描述系绳的纵横向振动.根据绳索只能受拉而不能抗压的特性引入了系绳单元的松弛模型,准确反映系绳真实受力情况.研究了系统自由度改变的实现方法,通过数值积分计算得到了绳系卫星系统释放、收拢和保持阶段的长时间历程的动力学响应,计算结果是收敛的.仿真结果印证了稳定平衡位置在绳系系统动力学中的重要特性.A discrete finite-dimensional dynamical model was built to describe the space large overall motion of tethered satellite system with an infinite-dimensional viscoelastic tether in a long time. The tethered satellite system is a complex nolinear dynamic system. Considering the tether’s viscoelasticity,distributed mass and space form,the established improved bead model can meticulously describe the tether’s vertical and horizontal vibration. According to tether’s characteristic of tensile and not compressive,the slack tether unit model was set up to accurately reflect real stress of tether. The determination of the number of degrees-of-freedom of the system was studied. Based on numerical integral calculation,the dynamic response was obtained via numerical simulation of the deployment,retrievement and retainment process of tethered satellite system in a long time. The result is con- vergent. The simulation proves the important role of the stable equilibrium position in the dynamics of tethered space system.

关 键 词：绳系卫星系统 可变自由度 有限维 松弛单元模型 动力学 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]