柔性系绳平衡状态临界绳长研究

Study on Flexible Tether Critical Length at Equilibrium State

为了确定柔性系绳系统在平衡状态下的临界绳长,在考虑大气阻力、系绳伸展性、系绳质量等因素的情况下,基于系绳系统轨道运动建立了系绳平衡状态方程.为确定求解系绳平衡方程所需初值条件,分析了载荷受力情况并建立其平衡状态方程,进而分析给出了系绳长度达到临界值的条件以及临界绳长的计算方法.仿真计算了不同载荷质量、系绳直径和载荷弹道系数这三种情况下系绳的临界绳长,分别拟合得到这三种情况下临界绳长的计算方程,并分析了不同载荷质量、系绳直径和载荷弹道系数对系绳临界绳长的影响.

In order to determine flexible tether critical length at equilibrium, based on orbital mo- tion of tether system, the tether equilibrium equations are established considering the atmospheric drag, tether extensibility and tether mass. Then, the load stress distribution is analyzed, and load equilibrium equations are established for determining the needed initial condition of tether equilibri- um equations. Furthermore, the condition that tether length reaches critical value and the computing method of tether critical length are both given. Finally, different tether critical lengths are respec- tively calculated under three conditions including different load masses, tether diameters and load ballistic coefficients. Three different critical length equations are given by fitting. The impacts on critical length are analyzed under these three different conditions.