摘要
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,应用多尺度法对耦合系统液体一阶主共振的非线性动力学特性进行解析分析,发现了幅频曲线软、硬特性随液深发生转换的现象,发生转换时的临界液深值大小与液体燃料在航天器中的位置、航天器与弹性帆板的转动惯量相对于液体燃料密度的比值均有关,并通过与数值模拟比较,验证了解析分析的正确性。
The coupled dynamics of the pitching of a spacecraft, the sloshing of liquid fuel and the vibration of elastic appendages is investigated. The coupling dynamics equations are deduced using the H-O principle. A multiple scale method is used to analyze the primary resonance of the rigid-liquid-elastic coupled system. The analysis shows that the amplitude frequency response changed from soft to hard spring type at a critical depth which depends on the position of the liquid fuel and the ratio of the sum of the moment of inertia of the rigid tank and the inertia of the elastic appendages to the liquid density. The analytical solutions compare well with simulations.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第8期1366-1369,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(10302013
10572022)
关键词
航天器
俯仰
刚-液-弹耦合系统
多尺度方法
临界液深
spacecraft
pitch
rigid-liquid-elastic coupling system multi scale method
critical depth
