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。
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.
出处
《工程力学》
EI
CSCD
北大核心
2008年第4期200-203,共4页
Engineering Mechanics
基金
国家自然科学基金项目(10172048,10302013,10572022)
关键词
俯仰
刚-液-弹耦合系统
多尺度
分岔
软、硬特性
pitch
rigid-liquid-elastic coupling system
multi-scale method
bifurcation
soft and hard spring type
