The dynamic modeling, approximate analytical solutions, and numerical simulations were conducted for an dumbbellshaped tethered spinning artificial gravity spacecraft.Firstly, the dynamic equations were derived in a 2D plane by using Kane′s method.Then the equations were nondimensionalized by introducing proper spatial and temporal scales.The ratio of the tethering length to the spatial scale was introduced as a small parameter, and then the dimensionless equations were simplified by using the small parameter perturbation method.The spin period of the tethered system was approximately estimated based on elliptic integrals and elliptic functions.Both formulas of the artificial gravity and the Coriolis force in the crew capsule were derived. Finally, Numerical simulations were carried out.The results indicate that, by properly designing the tethering length and spin angular velocity, the fluctuation amplitude of the artificial gravity is sight, the fluctuation frequency is far away from the sensitive band of the human body, and the Coriolis force can be neglected.Therefore, the dumbbellshaped tethered spinning spacecraft can produce an artificial gravity environment for astronauts to live in.
韩艳铧.面向人工重力技术的绳系自旋航天器动力学建模与分析[J].动力学与控制学报,2019,17(3):213~223; Han Yanhua. Study on modeling and analysis of a tethered spinning artificial gravity spacecraft[J]. Journal of Dynamics and Control,2019,17(3):213-223.