Deployment Dynamics Analysis of Mesh Antennas Considering Driving-cable Flexibility
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摘要: 为综合考虑铰链摩擦、索网张力及驱动绳索柔性对环形桁架式网状可展开天线展开过程的影响，建立了包含驱动绳索-滑轮的环形桁架天线系统动力学模型。采用基于位置控制的展开策略对天线的展开过程进行运动规划，实现展开角加速度的峰值最小化，并获取驱动绳索的最优输入轨迹；采用Bushing力法建立驱动绳索的动力学模型，并将索网张力等效为作用在桁架铰链上的时变外载荷，进而得到天线整体系统的动力学模型。仿真案例结果表明，驱动绳索的柔性、展开时间等参数会对展开过程中的展开角加速度和驱动索力产生显著影响，可为实际工程中环形桁架天线的展开过程控制提供参考。Abstract: To comprehensively consider the effects of hinge friction, cable tensions and flexibility of the driving-cable on the deployment process of ring truss mesh deployable antennas, a dynamic model of ring truss antenna system including driving-cable and pulley was established. The deployment strategy based on position control was used to plan the deployment process of the antenna, through which the peak of deployment angular acceleration was minimized and the optimal input trajectory of the driving-cable was obtained. With the dynamic model of the driving-cable being established using the bushing force method and the cable tensions being equivalent to time-varying external loads acting on the truss hinges, the dynamic model of the overall antenna system was obtained. Simulation results show that the parameters such as the flexibility of driving-cable and the deployment time will have a significant impact on the deployment angular acceleration and driving-cable force in the deployment process.
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表 1 零部件几何参数
参数名称 取值 /mm 参数名称 取值 /mm 横杆长度 346 细斜杆长度 350 竖杆长度 230 滑轮直径 5 粗斜杆长度 340 驱动索直径 0.8 
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表 2 不同驱动索弹性模量下的天线展开角加速度峰值
驱动索弹性
模量/ GPa天线展开角加速度峰值 /（°·s−2） 加速展开阶段 减速展开阶段 50 649.5 1010 100 510.4 841 150 464.2 714.7 200 441.2 627.1 250 440.5 558.2
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表 3 不同驱动索弹性模量下的驱动索力峰值
驱动索弹性
模量/ GPa驱动索力峰值 /N 加速展开阶段 减速展开阶段 50 68.1 54.2 100 59.3 53.9 150 55.8 53.8 200 53.8 53.7 250 52.5 53.7
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表 4 不同展开时间下的天线展开角加速度峰值
展开总时间tp/ s 天线展开角加速度峰值 /（°·s−2） 加速展开阶段 减速展开阶段 1 441.2 627.1 10 4.417 6.287 100 0.0443 0.0624
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