Abstract

A mathematical model of a spacecraft (SC) with an arbitrary number of large flexible structural (appendages) elements (LFSEs) is developed, implemented, and verified. The SC model obtained based on the general equations of dynamics is written in generalized coordinates. It allows three types of articulation between the LFSEs and the SC’s body: cantilever, and with the help of one-step and two-step hinges. Due to the procedure used in the derivation of the equations of motion, the proposed model allows us to change the number of LFSEs and types of articulation without rewriting the equations of motion in symbolic form, which makes it comfortable for software implementation.

中文翻译：

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具有任意数量柔性附件的卫星的数学模型

摘要

开发、实施和验证了具有任意数量的大型柔性结构（附件）元件 (LFSE) 的航天器 (SC) 数学模型。基于一般动力学方程获得的 SC 模型用广义坐标表示。它允许在 LFSE 和 SC 的主体之间进行三种类型的铰接：悬臂式，以及在一步和两步铰链的帮助下。由于在推导运动方程时使用的程序，所提出的模型允许我们改变 LFSE 的数量和关节类型，而无需以符号形式重写运动方程，这使得软件实现起来很方便。