| 引用本文: | 王振坤,崔乃刚,凡友华,刘丙利.天梯系统稳定性及动力学响应分析[J].哈尔滨工业大学学报,2019,51(10):30.DOI:10.11918/j.issn.0367-6234.201807134 |
| WANG Zhenkun,CUI Naigang,FAN Youhua,LIU Bingli.Stability and dynamic response analysis of space elevator[J].Journal of Harbin Institute of Technology,2019,51(10):30.DOI:10.11918/j.issn.0367-6234.201807134 |
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| 摘要: |
| 为论证赤道天梯系统的运行安全性以及攀爬器的爬升过程对其振动特征的影响机理,研究天梯系统在赤道平面内、外的稳定性以及攀爬器加速时间与减速时间对系统残余振荡的影响. 利用拉格朗日方法建立天梯系统两自由度有质量刚体绳索动力学模型,基于小振荡角假设对其拓扑等价的线性化系统的平衡点进行稳定性分析,最后分别引入攀爬器加速时间比与减速时间比两参数并研究其对系统残余振荡的抑制效果.研究表明: 当存在大气阻尼影响时系统在赤道平面内、外均具有渐进稳定的特征；攀爬器的运动会造成绳索在赤道平面内的摆振,科氏力是引起绳索振荡的主要原因；残余振荡幅值对攀爬器减速时间比始终存在一个与加速时间比相关的极小值,通过对加、减速时间比的优化可将系统残余振荡控制在10-3度量级,同时增大攀爬器的巡航速度并减小加速时间可以缩短攀爬器运行至目标轨道的时间.通过对攀爬器运行过程中加、减速时间比优化,可以较好的抑制系统的残余振荡并提高系统的运行效率和经济性. |
| 关键词: 天梯系统动力学 振动抑制 稳定性 绳系系统 空间运输 |
| DOI：10.11918/j.issn.0367-6234.201807134 |
| 分类号:O313.7 |
| 文献标识码:A |
| 基金项目: |
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| Stability and dynamic response analysis of space elevator |
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WANG Zhenkun1,CUI Naigang2,FAN Youhua1,LIU Bingli3
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(1.School of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, Guangdong, China; 2.School of Astronautics, Harbin Institute of Technology, Harbin 150001, China; 3.R&D Center, China Academy of Launch Vehicle Technology, Beijing 100076, China)
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| Abstract: |
| To demonstrate the operational safety of the equatorial space elevator system and the mechanism of the influence of the climber moving on the system vibration characteristics, the stability of the system and the effect of the climber moving with different acceleration time and deceleration time on the system residual oscillation were studied. A rigid tether model with two-DOF was established by Lagrange method. The stability of the topological equivalent linearization system based on the small oscillation angle assumption was analyzed at the equilibrium point. Two parameters which are the time ratio of acceleration and deceleration phases with the cruise phase were introduced to study the response of the system. Results show that the system had gradual stability characteristics at the equilibrium point both inside and outside the equator plane under the condition of atmospheric damping. The motion of the climber would cause the tether to oscillate in the equatorial plane, which was mainly caused by the Coriolis force. There was always a minimum amplitude of system residual oscillation in-plane for the deceleration time ratio, which is related to the acceleration time ratio. The amplitude of system residual oscillation could be controlled in level of 10-3degree by optimizing the deceleration time ratio, and the simulation result indicated that increasing the cruise speed and decreasing the acceleration time of the climber could shorten the time for the climber to run to the target track. Optimizing the time ratio of acceleration and deceleration phases could suppress the residual oscillation and improve the efficiency and economy of the system. |
| Key words: space elevator system dynamics oscillation suppression stability tethered system space transportation |
