Abstract
The tetrahedral elements that make up the large deployable reflector (LDR) are a kind of metamorphic element, which belongs to the multi-loop coupling mechanism. Firstly, the method of combining topology with screw theory is put forward. The parametric model and the constrained matrix are established to analyze the malleability of 3RR-3RRR tetrahedral element. Secondly, the kinematics expression of each motion pair is deduced by the relationship between the velocity and the motion spinor. Finally, the configuration of the metamorphic element is optimized to make the parabolic antenna fully folded, so that the antenna can meet the maximum folding ratio. The results show that the 3RR-3RRR element is a single-degree of freedom (DOF) mechanism. What’s more, three new configurations 3RS-3RRR, 3SR-3RRR and 3UU-3RRR are obtained on the basis of optimization. In particular, it proves to be that the LDR which consists of the 3RS-3RRR metamorphic element can achieve the maximum folding ratio. This paper provides a theoretical basis for the computer-aided design of the truss antennas, which has an excellent applicability in the field of aerospace and other multi-loop coupling mechanism.
Highlights
INTRODUCTIONIn 1992, the concept of implosion was applied to the large deployable reflector (LDR) by Warnaar and Chew,[11] regardless of the geometric size and structural complexity, which had been demonstrated on the truss configuration for a parabolic antenna, as an example of the applicability of the technique to synthesize deployable structures with complex or curved surfaces
The deployable truss antenna is a large spatial truss structure, which is composed of many basic elements
In 1992, the concept of implosion was applied to the large deployable reflector (LDR) by Warnaar and Chew,[11] regardless of the geometric size and structural complexity, which had been demonstrated on the truss configuration for a parabolic antenna, as an example of the applicability of the technique to synthesize deployable structures with complex or curved surfaces
Summary
In 1992, the concept of implosion was applied to the LDR by Warnaar and Chew,[11] regardless of the geometric size and structural complexity, which had been demonstrated on the truss configuration for a parabolic antenna, as an example of the applicability of the technique to synthesize deployable structures with complex or curved surfaces. The resulting approach generates all possible conceptual designs based on a given number of links and nodes within a module of a deployable truss structure. We mainly study the malleability and configuration optimization of the tetrahedral metamorphic element. This paper proposes a method of combining topological model with constrained screw theory to analyze the malleability of multi-loop mechanism, and optimizes the tetrahedral configuration to accommodate the large folding ratio of the deployable antenna. It’s helpful to develop new ideas and new methods of designing the deployable mechanism, while the metamorphic mechanism has a broad application prospect in aerospace, robotics, manufacturing industries
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