充液挠性航天器俯仰运动分岔特性初步研究

详细信息

BIFURCATION OF A LIQUID-FILLED SPACECRAFT WITH ELASTIC APPENDAGES

(1. School of Aerospace, Tsinghua University, Beijing 100084, China; 2. School of Science, Beijing Institute of Technology, Beijing 100081, China )

摘要: 该文考虑了带弹性帆板与液体燃料的航天器做俯仰运动时刚-液-弹之间的相互耦合作用，采用已推导的刚-液-弹耦合系统非线性动力学方程组，应用多尺度法解析分析耦合系统的液体一阶主共振，利用奇异性理论对分岔方程进行分析，得到多种分岔模式，随后根据该文研究的耦合系统物理系数范围，确定只存在滞后点分岔，表现为幅频曲线软、硬特性的转换现象。
- 俯仰 /
- 刚-液-弹耦合系统 /
- 多尺度 /
- 分岔 /
- 软 /
- 硬特性
Abstract: The coupling dynamics of the pitching of spacecraft, the sloshing of liquid fuel and the vibration of elastic appendages are investigated. The coupling dynamics equations deduced by using H-O principle are adopted. The multiple scale method is proposed to analyze the primary resonance of the rigid-liquid-elastic coupling system. The bifurcation analysis is given by means of singularity theory. The hysteresis bifurcation is found in the desired coupling system, it is represented by the amplitude-frequency response switches between soft and hard spring types at the critical depth.
- pitch /
- rigid-liquid-elastic coupling system /
- multi-scale method /
- bifurcation /
- soft and hard spring type