Configuration synthesis of large deployable curve-supported truss mechanism based on graph theory

Deployable antenna mechanism has a rapidly growing demand in the space field, but most of the existing mechanisms are based on the classical configuration, and there is a lack of systematic configuration innovation design method. Based on the thought of developing mechanism derived from stable structure and the principle of surface formation, a configuration method of deployable surface supporting mechanism based on curve supporting mechanism is proposed. Firstly, based on graph theory, the configuration method of supported stable truss structure is established. Combining with the folding and deployable geometric constraints, the truss members is replaced by folding members, and the mechanism configuration based on stable truss structure is realized. Finally, the isomorphic configurations are eliminated by the correlation degree code method, and a series of curve support mechanism configurations are obtained. The formation method of the research extends the application of mechanism graph theory, and provides a new way for the configuration innovation of satellite antenna mechanism.