To improve the deployment stability and drive efficiency, the dimensional synthesis of antenna deployable support structure is addressed. First, to evaluate the deployment stability, the transmission ratio stability index (TRSI) is designed based on Jacobian matrix. Second, the motion/force transmissibility is used to analyse the drive efficiency. A sub-closed-loop analysis method (SAM) is proposed to analyse the local motion/force transmissibility of the parallel mechanism whose sub-closed-loop contains actuator (PMSCA). An improved global transmission index (IGTI) is proposed to analyse the global motion/force transmissibility for the mechanism without good transmission workspace (GTW). Finally, based on TRSI and IGTI, the dimensional parameter optimization model of the deployable support structure is established and a configuration with better comprehensive performance is obtained. Results show that the designed indexes in this paper can be useful for indicating the stability of transmission ratio and the global motion/force transmissibility of the structure.

中文翻译：

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天线展开式支撑结构的尺寸综合

为了提高部署稳定性和驱动效率，解决了天线可部署支撑结构的尺寸合成问题。首先，为了评估部署稳定性，基于雅可比矩阵设计了传动比稳定性指数（TRSI）。其次，使用运动/力传递率来分析驱动效率。提出了一种子闭环分析方法（SAM）来分析子闭环包含执行器（PMSCA）的并联机构的局部运动/力传递率。提出了一种改进的全局传递指数（IGTI）来分析没有良好传递工作空间（GTW）的机构的全局运动/力传递率。最后，基于TRSI和IGTI，建立了可展开支撑结构的尺寸参数优化模型，得到了综合性能较好的构型。结果表明，本文设计的指标可用于表征传动比的稳定性和结构的整体运动/力传递率。