电动力缆绳的横向振动建模研究

Modeling Study of Transverse Vibration in Electro-dynamic Tether

针对基于电动力缆绳离轨的卫星系统,通过分析电动力缆绳的受力和运动方式,利用微元法建立了电动力缆绳横向振动的偏微分方程和边界条件,使用有限元法和拉格朗日方程建立了离散化的电动力缆绳横向振动方程,并采用轨道六要素法和四阶Runge-Kutta法进行了仿真分析。仿真结果表明电动力缆绳既有大振幅的低频振动也有小振幅的高频振动;电动力缆绳的横向振动随末端球体质量的增加而减弱,趋向于两端固定的情形。

The paper studied transverse vibration of electro-dynamic tether of satellite de-orbit system,and established continuous differential equation of transverse vibration of electro-dynamic tether and boundary condition with the micro-element method, and established discrete equation of transverse vibration of electro-dynamic tether by Lagrange equation and analysed the transverse vibration of electro-dynamic tether by the six orbital elements method and the Runge-Kutta method under the 13th accurate geomagnetic field model. The result shows that large amplitude vibration at low frequency and micro amplitude vibration at high frequency took place in the electro-dynamic tether system. Transverse vibration of electro-dynamic tether weakens with the end mass increasing.