针对星载可展开天线柔性较大的特点,综合考虑天线的分布参数、集中参数及摩擦力等因素对系统动特性的影响。在严格按照运动学合成原理的基础上,采用有限元法与拉格朗日方程建立了可展开天线的运动微分方程。并求得了某星载可展开天线的展开动力响应,讨论了此天线动力分析中的若干关键问题。 Considering the flexible nature of space-borne expandable antenna, the influences of such factors as the distribution parameters, concentration parameters and frictional force on the dynamic characteristics of the system are comprehensively considered. In strict accordance with the principle of kinematic synthesis, based on the finite element method and the Lagrange equation was established to develop the antenna differential equations of motion. The dynamical response of a spaceborne expandable antenna was obtained. Some key problems in the dynamic analysis of the antenna were discussed.