论文标题

用于空间碎屑捕获的绳索网系统的非线性动态建模

Nonlinear Dynamic Modeling of a Tether-net System for Space Debris Capture

论文作者

Huang, Weicheng, He, Dongze, Li, Yanbin, Zhang, Dahai, Zou, Huaiwu, Liu, Hanwu, Yang, Wenmiao, Qin, Longhui, Fei, Qingguo

论文摘要

在本文中,应用了灵活的系绳系统来捕获空间碎片,并建立了数值框架以探索其非线性动态行为,该行为包括四个主要阶段:折叠,扩散,接触和关闭。基于整个结构对多个节点和连接的边缘的离散化,弹性力量和相关的雅各布基质在分析上得出以求解一系列运动方程。使用完全隐式的方法用于分析细长杆网络的非线性动力学,研究了相关的机械响应,以数值考虑相互作用。可变形网和刚体之间的接触通过一种经济高效的修改质量算法来隐式处理,而链链理论则用于指导折叠过程(从平面构型到折纸样模式)。可以通过向特定方向射击六个角质量来实现折叠式六角网的拖延和扩散动作。接下来,当检测到飞行网和目标主体之间的触摸时,将控制六个角落沿着规定的路径移动,以产生闭合手势,因此,对于空间碎片,可以成功捕获并取出空间碎片。我们认为,既定的离散模型可以在设计碎片清除(ADR)技术的设计中提供新的见解,并促进基于模型的系绳拖曳系统的进一步开发。

In this paper, a flexible tether-net system is applied to capture the space debris and a numerical framework is established to explore its nonlinear dynamic behaviors, which comprises four principal phases: folding, spreading, contacting, and closing. Based on the discretization of the whole structure into multiple nodes and connected edges, elastic force vectors and associated Jacobian matrix are derived analytically to solve a series of equations of motion. With a fully implicit method applied to analyze the nonlinear dynamics of a slender rod network, the involved mechanical responses are investigated numerically accounting for the interactions. Contact between the deformable net and a rigid body is handled implicitly through a cost-effective modified mass algorithm while the catenary theory is utilized to guide the folding process (from planar configuration to origami-like pattern). The dragging and spreading actions for the folded hexagon net could be realized by shooting six corner mass toward a specific direction; next, the six corners would be controlled to move along a prescribed path producing a closing gesture, when touch between the flying net and the target body is detected, so that for the space debris could be captured and removed successfully. We think the established discrete model could provide a novel insight in the design of active debris removal (ADR) techniques, and promote further development of the model-based control of tether tugging systems.

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