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A class of deployable polyhedral mechanisms based on the loop-closed mechanism

A method of constructing deployable polyhedral mechanisms based on loop-closed mechanism is proposed, in which the loop-closed mechanism is a loop with anti-parallelogram units connected end to end. First, according to the construction methods of the 6R mechanism and the 8R mechanism and the anti-parallelogram unit simplified as 2R-like mechanism, the construction methods of the loop-closed mechanism such as the 10R mechanism and the 12R mechanism are proposed. Secondly, according to the motion form and structural characteristics of the loop mechanism, combined with the characteristics of the side length of the polyhedron, deployable polyhedral mechanisms based on the loop-closed mechanism are proposed. Finally, the 3D model motion form of deployable polyhedral mechanism is given by the three-dimensional software.