Abstract
This paper focuses on exploring and generalizing a scissor structural element, termed non-crossing angulated element (NCAE), in the context of unlocking its unexplored design potential and further broaden its applicability to deployable scissor mechanisms. Three types of NCAE assemblies are proposed and termed Types I, II, and III NCAE. The geometrical conditions of these NCAE assemblies are established to maintain an invariable subtended angle during motion. Based on Type I NCAE, a new construction method of double-ring mechanism that can transform the shape between two specified polygons with an equal number of sides is proposed. Owing to the scissor structure of NCAE, a novel deployable polyhedral mechanism with radially reciprocating motion but no singularity is synthesized. Relying on the advantage of the shape transformation property from NCAE, we incorporate this element with a straight scissor element and construct deployable polyhedral mechanisms with radial expansion motion to obtain a large deformation capability. To validate all the formed mechanisms, both computer model simulations and constructed prototype demonstrations are conducted. The results demonstrate the feasibility of the proposed mechanisms and synthesis approaches.
Published Version
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