Abstract: In order to solve the interference of Twin-Bennett (TB) linkage which controled the deploying processes of the solid surface deployable antennas and improve package capacities, the traditional sunflower-like segmentation scheme was improved. The optimization model between geometric parameters and the package ratio of the solid surface deployable antennas was established by exponential product formula. Then the package ratio was taken as objective function to optimize the segmentation scheme, with the optimal geometric parameters obtained by the sequential quadratic programming of multiple initial value points. Aiming at the synchronization of deployment, the umbrella synchronous deployment linkage was designed. The synchronous mechanisms might convert the linear movement into the deploying of the solid deployable antennas, and ensureed a single degree of freedom and synchronization. Finally, the software simulations and model tests were implemented to verify the deploying ability of the solid surface deployable antennas. It is indicated that the design may increase package capacities of the sunflower-like solid surface deployable antennas from 44% to 37%, and achieve the simplicity of the drive systems. The simulation results and the 3D prototype demonstrate the feasibility and rationality of this method.

Key words: Twin-Bennett(TB) linkage, solid surface deployable antenna, optimization design, umbrella synchronous deployment linkage

摘要： 为了解决Twin-Bennett(TB)机构控制固面可展开天线展开过程的干涉问题从而提高收拢能力，对传统太阳花式天线分割方案进行了改进。通过指数积公式建立了该固面可展开天线设计参数与收拢率之间的数学模型，并以收拢率为目标函数对盘面分割方案进行了优化分析，通过多初值点序列二次规划算法得到了最优设计参数。针对收拢的同步性问题进行了伞状同步展开机构的设计，该同步机构能将直线运动转化为固面可展开天线的展开运动，同时能保证整体固面可展开天线的单自由度和同步性。最后进行了软件仿真和实物模型的制作。整体设计可提高传统太阳花式固面可展开天线的收拢能力，将收拢率从44%降低至37%，同时保证了驱动机构的简易性。仿真分析和3D打印模型结果证明了该方法的可行性和合理性。

关键词: Twin-Bennett机构, 固面可展开天线, 优化设计, 伞状同步展开机构