Dynamics and Energy Analysis of Nonequatorial Space Elevator Using Three-Dimensional Nonlinear Finite Element Method Extended to Noninertial Coordinate System
Dynamics and Energy Analysis of Nonequatorial Space Elevator Using Three-Dimensional Nonlinear Finite Element Method Extended to Noninertial Coordinate System
复制标题
推广到非惯性坐标系的三维非线性有限元法非赤道空间电梯动力学与能量分析
DOI：
10.1109/access.2022.3168666
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发表时间：
2022
期刊：
影响因子：
3.9
通讯作者：
Makihara Kanjuro
中科院分区：
文献类型：
--
作者：
Kuzuno Ryo;Dong Shuonan;Okada Taiki;Otsuka Keisuke;Makihara Kanjuro
太空电梯是一种未来的太空运输技术，它可以利用从地球静止轨道（GEO）部署的绳索上的攀登者，实现低成本和多用途的有效载荷运输。特别是，在地球上有纬度的地区设置锚点的“非赤道空间升降机”最近备受关注。它具有扩展构造范围、避免与地球同步轨道上的航天器发生碰撞等优点。先前的研究主要集中在低保真度的刚体或弹簧质量模型上。本文提出了一种将节点位置有限元法扩展到旋转坐标系的非赤道空间电梯的建模方法。NPFEM是一种考虑几何非线性的三维有限元方法。传统的npfem仅使用惯性坐标系来制定。本文提出了一种非惯性坐标系下NPFEM的构造方法，并推导出惯性力和雅可比矩阵。此外，基于该方法对非赤道空间升降机进行了三维分析。在确定NPFEM的平衡位置后，分析了攀登者上升过程中缆索的动力响应。此外，通过改变非赤道空间升降机的若干特性进行了参数化研究。通过对各部件间能量交换的分析，验证了所提方法的有效性，并对空间电梯的能量前景进行了探讨。结果表明，与传统模型相比，非赤道空间电梯模型具有更强的张力平衡和更显著的动力响应。
A space elevator is a futuristic space transportation technology that enables low-cost and versatile payload transportation using climbers on a tether deployed from the geostationary orbit (GEO). In particular, a nonequatorial space elevator, which contains an anchor in a region with latitudes on the Earth, has recently attracted attention. It has several advantages, such as extending the construction range and avoiding collisions with spacecraft in the GEO. Prior research has focused on rigid-body or spring-mass models with low fidelity. This paper proposes a modeling method for nonequatorial space elevators using a nodal-position finite element method (NPFEM) extended to a rotational coordinate system. The NPFEM is a three-dimensional finite element method that considers geometric nonlinearity. Conventional NPFEMs have only been formulated using inertial coordinate systems. This paper proposes a method to formulate the NPFEM in a noninertial coordinate system and derive the inertial forces and Jacobian matrices. In addition, a three-dimensional analysis of a nonequatorial space elevator was performed based on the proposed method. After determining the equilibrium position of the NPFEM, the dynamic response of the tether during climber ascent was analyzed. Moreover, parametric studies were conducted by varying several properties of the nonequatorial space elevator. Furthermore, the energy exchange between the components was analyzed to validate the proposed method and to discuss the energy perspective of the space elevator. The results revealed that the proposed nonequatorial space elevator model experienced a more tensioned equilibrium and exhibited a more significant dynamic response than conventional models.