摘要
采用已推导的俯仰运动矩形贮箱受控刚-液-弹耦合系统在外力矩作用下的耦合动力学模型,在刚体上加入控制项,详细分析了系统固有频率的精确解与近似解.应用多尺度法对耦合系统1:1:1内共振进行解析分析,与数值解比较验证解析解的正确性.通过近似解析分析得到刚-液-弹之间的耦合作用机理:1)液深影响整个系统的软硬特性,当液体发生软硬特性转化时,处于液体原多值频率区域的刚体和弹性体幅频曲线分支峰值会减弱,且具有相同的特性转化趋势;处于液体新多值频率区域的刚体和弹性体幅频曲线分支峰值会增强,且具有相反的特性转化趋势.2)刚体和弹性体幅频曲线的峰值均在以受控刚体和弹性体为主的耦合系统固有频率处,以液体为主固有频率激励,刚体和弹性体振幅较小.
The coupling dynamics of the pitching of spacecraft, the sloshing of liquid fuel and the vibration of elastic appendages are investigated in this paper. The coupling dynamics equations derived by using H-O principle are used. The attitude of spacecraft is controlled. A multiple scale method is proposed to analyze the 1：1：1 internal resonance of the rigid-liquid-elastic coupling system. The mechanism of the coupling dynamics are studied by analytic methods. The amplitude-frequency response switches between soft and hard spring types with different liquid depth. The resonances of the spacecraft and elastic appendages occur at the natural frequencies of both spacecraft and elastic appendages.
出处
《力学学报》
EI
CSCD
北大核心
2007年第6期804-812,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10302013
10572022).~~
关键词
刚-液-弹耦合
非线性动力学
固有频率
俯仰运动
rigid-liquid-elastic coupling system, nonlinear dynamics, natural frequency, pitch
