充液箱位置对航天器耦合特性影响分析
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国家自然科学基金资助项目(10302013,10572022)


Analysis on effects of fuel position on the attitude of spacecraft with elastic appendages
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    摘要:

    分析了液体非线性晃动时充液箱位置对带弹性帆板充液航天器刚-液-弹之间耦合特性的影响.假设耦合系统绕系统质心做俯仰运动,首先采用已推导的刚-液-弹耦合系统俯仰运动非线性动力学方程组,得到系统固有频率,给出固有频率简单近似解析表达式,分析充液箱位置对系统各阶固有频率的影响.随后应用多尺度法对耦合系统液体一阶主共振进行解析分析,发现充液箱位置是决定幅频曲线软、硬特性转换点的重要参数.给定外激励力矩时,不同充液箱位置稳态解对应多解现象,并随着激励频率改变,稳态解幅值随充液箱位置的变化曲线发生分岔.

    Abstract:

    The effects of fuel position on the attitude of spacecraft with elastic appendages were studied under the condition that the fuel sloshes violently and assuming that the coupling system pitches round the mass center of the whole system.The coupling dynamics equations were deduced by using HO principle,the analytical expressions of the natural frequencies of the coupling system were obtained,and the effects of fuel position on the natural frequencies of the coupling system were analyzed. Then the multiple scale method was employed to analyze the primary resonance of the rigidliquidelastic coupling system, which showed that the amplitudefrequency response switches between soft and hard spring type at the critical depth changed with the fuel position, and that, if given the force moment, the multivalue and bifurcation phenomena could occur.

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吕敬,李俊峰,王天舒,岳宝增.充液箱位置对航天器耦合特性影响分析[J].动力学与控制学报,2007,5(2):159~164; Lu Jing, Li Junfeng, Wang Tianshu, Yue Baozeng. Analysis on effects of fuel position on the attitude of spacecraft with elastic appendages[J]. Journal of Dynamics and Control,2007,5(2):159-164.

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  • 收稿日期:2006-10-10
  • 最后修改日期:2006-12-11
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