空间电动力绳系的磁弹性屈曲分析

Magneto-elastic Buckling Analysis of Electrodynamic Space Tethers

电动力绳系具有强非线性且运动过程中存在复杂的多场耦合,其磁弹性屈曲问题一直是研究的热点.基于Kirchhoff方程,利用弹性杆模型建立了电动力绳系动力学方程.研究了空间地磁场环境对电动力绳系的影响,分别对电动力绳系的静态和动态稳定性进行深入分析,给出了系统出现分岔的磁场强度临界值.结果表叽随着系统相对角速度的增加,使系统发生分岔的磁场强度临界值逐渐减小.该磁场强度临界值可为电动力绳系电流及其他参数设计提供参考.

The magneto-elastic buckling problem is a hot topic of Electrodynamic Tether （EDT） system because of its strongly nonlinear dynamics and the existence of complicated multi-fields coupling problems. An elastic rod model for EDT is established based on the geometrically exact Kirchhoff equations, and the effect of geomagnetic environment on EDT is analyzed. The static and dynamic instability of EDT are thoroughly studied, and the critical value of magnetic field as the bifurcation happens is calculated. The results show that the critical value decreases as the angular velocity increases, which can provide a reference for the current and other parameters design of EDT.