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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。
Considering the interaction of rigid-liquid-elastic interaction between spacecraft with flexible windsurfing and liquid fuel, the nonlinear dynamic equations of rigid-liquid-elastic-coupled system have been deduced. The multi-scale method The nonlinear dynamic characteristics of the liquid first-order main resonance of the coupled system were analyzed and analyzed. The phenomenon that the soft and hard properties of the amplitude-frequency curve changed with the liquid depth was found. The critical liquid depth at the time of conversion was similar to that of the liquid fuel in spacecraft And the ratio of the inertia of the spacecraft to the elastic sailboard to the density of the liquid fuel are all related. The correctness of the analytical analysis is verified by comparison with the numerical simulation.