In order to design lightweight and high stiffness large-sized deployable antenna mechanism, a kind of slider crank basic deployable mechanism unit which is driven by elastic hinges and one sort of double-layer loop deployable antennas mechanism which is composed of the units are put forward. In this paper, the method of finite element dynamic models for double-layer loop deployable antenna mechanism and the control variable method are combined to conclude the interaction relationship between the fundamental frequency of double-layer loop deployable antenna with the mechanism geometric parameters of the antenna diameter, height, thickness and other geometrical parameters of the double layer loop antenna. On this basis, an empirical formula of fundamental frequency calculation of double-layer loop deployable antenna mechanism is achieved. According to the performance of the frequency of the antenna mechanism, the antenna diameter is divided into small diameter, large diameter and super large diameter three grades. The influences of the mass and the stiffness of antenna mechanism are taken into comprehensive consideration, then a comprehensive evaluation index of the single-layer and double-layer loop deployable antenna mechanism characteristics is set up to make comparative analysis of the dynamic characteristics of the unfolded single-layer and double-layer deployable antenna mechanism with different diameters. It is concluded that the applicable diameter range of the single-layer loop deployable mechanism is 1m to 20m, while the applicable diameter range of the double-layer loop is 20m to 100m.

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