时变自由度绳系卫星系统动力学
余本嵩，文浩，金栋平
摘要:建立了针对无限维的黏弹性两体绳系卫星系统的时变动力学模型.当系绳释放时,卫星中系绳所对应的离散集中质量由星内移至星外,导致绳系卫星系统的自由度发生改变,成为时变的多自由度绳系卫星系统.基于改进的有限差分法,研究了判定系统自由度发生变化的方法及时变自由度绳系卫星系统动力学响应的计算方法.结果表明,所提出的计算时变自由度系统动力学响应的方法,实现了绳系卫星系统释放动力学行为的数值模拟.
关键词：绳系卫星系统；黏弹性绳；时变自由度；有限差分法；动力学
Dynamics of tethered satellite system with a time-varying number of degrees-of-freedom
Bensong Yu, Hao Wen, Dongping Jin
Abstract：This paper presents a time-varying dynamical model for tethered two-satellite connected by an infinite-dimensional viscoelastic tether. As the tether is releasing during task, i.e. the corresponding discrete lumped mass points are transferred from inside of the satellite to its outside, the number of degrees-of-freedom of the tethered satellite system is variable. The system becomes thus a time-varying one with multi degrees-of-freedom. Based on an improved finite difference method, the determination of the number of degrees-of-freedom of the system is studied, as well as the computational scheme for the calculation of the dynamics of tethered satellite system with a time-varying number of degrees-of-freedom. The proposed method is demonstrated via numerical simulation of the deployment process of tethered satellite system.
Keyword：tethered satellite system; viscoelastic tether; time-varying number of degrees-of-freedom; finite difference method; dynamics
原文链接：http://www.cnki.com.cn/Article/CJFDTotal-LXXB201005016.htm
