Abstract According to a description of the topology structure of deployable antennas, this work proposes the configuration synthesis method of over-constrained deployable units on the basis of screw theory and conducts example analyses on the basis of an analysis method and certain design steps. First, the basics of screw theory are introduced in detail, and an over-constrained deployable unit is represented by a screw. Second, through over-constraint analysis, the kinematic pair configurations of the mechanism under over-constraint have been established. Third, according to the general process of the deployable unit with common over-constraints proposed in this paper, the example is analyzed in detail. Finally, the model is verified according to the obtained configuration synthesis results. The cubic deployable unit mechanism is obtained through 3D printing, and the folding function is tested to verify the correctness of the theoretical analysis, which can provide theoretical reference for the mechanism design of large deployable units.

中文翻译：

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基于螺旋理论的线性可折叠超约束展开单元构型综合

摘要 根据对可展开天线拓扑结构的描述，提出了基于螺旋理论的超约束可展开单元构型综合方法，并根据分析方法和一定的设计步骤进行了实例分析。首先详细介绍了螺旋理论的基础知识，以螺旋为代表的过约束可展开单元。其次，通过过约束分析，建立了过约束下机构的运动副构型。第三，根据本文提出的具有常见过约束的可展开单元的一般过程，对实例进行了详细分析。最后，根据得到的配置综合结果对模型进行验证。