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Coupling dynamic behaviors of flexible stretching hub-beam system

机译：柔性拉伸枢纽系统的耦合动态行为

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In the 1st stage deployment of the IKAROS solar sail, the flexible beam with comparable mass relative to the mass of the rotor is stretching actively in the axial direction, which brings new challenge in the dynamic analysis for the 1st stage deployment of the IKAROS solar sail. Considering the active axial stretching of the flexible beam, a simplified coupling dynamic model for the 1st stage deployment of the IKAROS solar sail is proposed based on the non-holonomic Hamilton least-action principle firstly. And then, a structure-preserving approach combining the generalized multi-symplectic method and the sym-plectic Runge-Kutta method is constructed to simulate the evolution of the transverse vibration of the beam as well as the evolution of the rotation of the hub. Finally, the associated numerical results in three stages are reported. From the numerical results, it can be found that the coupling effects between the deformation of the beam, the active stretching of the beam and the rotation of the hub are reflected in the stretching stage. In this stage, the transverse vibration of the beam is enhanced by the stretching effect of the beam, and the increase of the energy of the beam in this stage is derived from the decrease of the rotational energy of the hub. In addition, the structure-preserving properties and the validity of the numerical results are verified by the tiny relative energy dissipation of the flexible stretching hub-beam system in the stretching stage.
机译：在ikaros太阳能帆的第一阶段部署中，具有相对于转子质量的具有可比质量的柔性光束在轴向上主动拉伸，这在ikaros太阳能帆的第一阶段部署的动态分析中引起了新的挑战。考虑到柔性梁的主动轴向拉伸，基于非完全汉密尔顿最不动作原理提出了Ikaros太阳能帆的第一阶段部署的简化耦合动态模型。然后，构造了一种组合广义多相旋转方法和符合速率跳动-Kutta方法的结构保存方法以模拟光束的横向振动以及轮毂旋转的演变。最后，报告了三个阶段的相关数值结果。从数值结果来看，可以发现，在梁的变形之间的耦合效应，光束的主动拉伸和毂的旋转被反射在拉伸阶段。在该阶段，通过光束的拉伸效果来增强光束的横向振动，并且该阶段中光束的能量的增加源自毂的旋转能量的降低。另外，通过拉伸级中的柔性拉伸中心梁系统的微小相对能量耗散来验证数值结果的结构保留性质和有效性。

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