中国空间科学技术

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可伸缩挠性结构的稳定性研究

张洪华   

  1. 北京控制工程研究所
  • 发布日期:1997-10-25

ON STABILITY OF A DEPLOYABLE/RETRACTABLE FLEXIBLE STRUCTURE

Zhang Honghua (Beijing Institute of Control Engineering,Beijing 100080)   

  • Published:1997-10-25

摘要： 研究了一类可伸缩挠性梁结构的稳定性。主要结论有：一般可伸缩挠性梁结构的动力学可由刚体姿态运动、挠性体振动和梁伸缩运动相耦合的混合偏微分方程和常微分方程描述；结构振动与转动能量的耗散与积聚取决于梁的伸缩运动，在伸展过程中系统的能量被耗散，在收缩过程中系统能量被积聚，在平台保持过程系统能量维持不变。因此，梁的伸展过程是稳定的，梁的收缩过程是不稳定的，而平台保持过程是临界稳定的。

关键词: 梁, 挠性结构, 结构振动, 稳定性

Abstract: This paper deals with stability of a deployable flexible structure.It is resulted that the motions of the structure include the attitude motion,dimension motion and flexible vibration;the dynamics of the structure can be described by using hybrid partial differential and ordinary equations.It is proved that the dissipation and accumulation of the vibration energy depends on the dimension motion:in deploying phase the energy is dissipated and in retracting phase the energy is accumulated.Thus,it is concluded that vibration motion of the structure is stable in deploying phase and unstable in retracting phase.