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首页> 外文期刊>Journal of aerospace engineering >Nonlinear Dynamics of a Space Tethered System in the Elliptic Earth-Moon Restricted Three-Body System
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Nonlinear Dynamics of a Space Tethered System in the Elliptic Earth-Moon Restricted Three-Body System

机译：椭圆地月受限三体系统中的空间拴系系统的非线性动力学

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This paper focuses on nonlinear oscillation of a space tether system connected to the Moon's surface, elongating along the Earth-Moon line at L1 and L2 sides respectively. The full nonlinear elongation dynamics of the space tether system were established for a superlong viscoelastic massless tether with a large tip mass. The equilibria and their stabilities were investigated by removing the external force in the established dynamics. The equilibria and the stabilities depend on the elasticity and natural length of the tether, and the dependence is the key to determining the parameters for successful operation of the tether system. The equilibria were also used as reference positions to facilitate dynamic analysis. The method of multiple scales was utilized to obtain the analytical asymptotic solutions to the dynamics. The analytical results agree well with the numerical ones quantitatively and qualitatively in terms of the steady-state magnitudes of the length and the length rate of the tether, as well as the power harvested for a large range of parameters. The detailed investigation reveals that the dynamic responses were affected by three important parameters, namely, the damping, the elasticity, and the original length of the tether. In particular, the increasing damping stabilizes the motion around the expected equilibrium and makes the quasi-periodic motion periodic. It was also indicated that one should design a tether with small rigidity for efficient power generation, but the largest steady-state length should be restricted within prescribed ranges when selecting the rigidity. There is also a compromise between the power output and elastic tension when designing the tether system, i.e.,the tether will experience a larger elastic tension for greater harvested power. (C) 2018 American Society of Civil Engineers.
机译：本文重点研究连接到月球表面的空间系链系统的非线性振荡，该系统分别沿地月线在L1和L2侧延伸。建立了具有大尖端质量的超长粘弹性无质量链的空间链系统的完全非线性伸长动力学。通过消除已建立的动力学中的外力来研究平衡及其稳定性。平衡性和稳定性取决于系绳的弹性和自然长度，而依赖性是确定系绳系统成功运行的参数的关键。平衡也用作参考位置以促进动态分析。利用多尺度方法获得动力学的解析渐近解。就绳索的长度和长度比率的稳态大小以及在大范围参数中采集的功率而言，分析结果在数量上和质量上都与数值方法很好地吻合。详细的研究表明，动态响应受三个重要参数的影响，即阻尼，弹性和系绳的原始长度。特别地，增加的阻尼使围绕期望平衡的运动稳定，并使准周期性运动为周期性的。还指出，为了高效发电，应该设计一种刚度较小的系绳，但是在选择刚度时，最大稳态长度应限制在规定的范围内。在设计系绳系统时，功率输出和弹性张力之间也存在折衷，即系绳将经历更大的弹性张力以获得更大的收获力。 （C）2018美国土木工程师学会。

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