Determination of active members and zero-stress states for symmetric prestressed cable–strut structures

Retractable ring structures have been useful concepts for engineering design applications due to their smooth transformation from an initially compact configuration to a substantially larger deployed state. As a result, over the past few decades, various computational and kinematic models have been introduced to analyze the behavior of such deployable structures. Here, we propose a type of retractable ring structure designed based on a transformable concept known as the Swivel Diaphragm. In particular, the geometry of the retractable ring structure is introduced, including different structural configurations with fixed pivots and angulated beams. Taking a group-theoretic approach, we establish appropriate constraint equations and perform a symmetry-adapted kinematic analysis. In the next step, the mobility and self-stress states of three example structures are studied, including a simple ring structure with C3 symmetry, a C6-symmetric retractable ring with a hexagonal Swivel Diaphragm structure, and a general Cn-symmetric ring structure with inner hoops. The usefulness and effectiveness of the utilized group-theoretic approach are examined and validated through the study of these examples. We show that the kinematic behavior of the numerical models developed in this study agrees well with the finite element results obtained using Abaqus. Importantly, the illustrated motion trajectories of the retractable structures demonstrate that they retain a single degree-of-freedom as well as a cyclic symmetry. Moreover, it is shown that the angulated members necessarily rotate around the fixed pivots, which could be practically desirable in designing retractable structures for engineering applications.

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Determination of active members and zero-stress states for symmetric prestressed cable–strut structures

Cited by 4 publications

References 59 publications

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