Kinematic and Static Design of Rigid Origami Structures: Application to Modular Yoshimura Patterns

Micheletti, Andrea; Giannetti, Ilaria; Mattei, Gabriele; Tiero, Alessandro

doi:10.1061/(asce)ae.1943-5568.0000531

Cited by 9 publications

(3 citation statements)

References 29 publications

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“…Most existing origami systems have a limited load-carrying capability because they are based on thin origami 28,29 . Although multiple thickness accommodation techniques are available in the literature 34 , these techniques tend to produce non-uniform thickness where poor connectivity results in less robust load-carrying.…”

Section: Developable Flat Foldable and Uniformly Thick Origamimentioning

confidence: 99%

“…More specifically, origami and kirigami systems can utilise self-locking to form load-bearing materials [24][25][26] or use MDOF kinematics to achieve different configurations [10][11][12]27 . However, these systems target metamaterial applications or small-scale mechanisms with prototypes <1 m. Despite the tremendous progress in multiple fields, when it comes to large-scale origami for civil engineering or architectural applications, we have observed two trends: first, origami structures that can fold cannot carry large loads 28,29 , and second, origami structures that can carry large loads cannot fold [30][31][32] . Moreover, common origami patterns for civil applications tend to have only one kinematic path 28,33 , so they are not well suited for creating adaptable systems that offer multiple configurations.…”

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confidence: 99%

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Large-scale modular and uniformly thick origami-inspired adaptable and load-carrying structures

Zhu,

Filipov

2024

Nat Commun

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Existing Civil Engineering structures have limited capability to adapt their configurations for new functions, non-stationary environments, or future reuse. Although origami principles provide capabilities of dense packaging and reconfiguration, existing origami systems have not achieved deployable metre-scale structures that can support large loads. Here, we established modular and uniformly thick origami-inspired structures that can deploy into metre-scale structures, adapt into different shapes, and carry remarkably large loads. This work first derives general conditions for degree-N origami vertices to be flat foldable, developable, and uniformly thick, and uses these conditions to create the proposed origami-inspired structures. We then show that these origami-inspired structures can utilize high modularity for rapid repair and adaptability of shapes and functions; can harness multi-path folding motions to reconfigure between storage and structural states; and can exploit uniform thickness to carry large loads. We believe concepts of modular and uniformly thick origami-inspired structures will challenge traditional practice in Civil Engineering by enabling large-scale, adaptable, deployable, and load-carrying structures, and offer broader applications in aerospace systems, space habitats, robotics, and more.

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Section: Developable Flat Foldable and Uniformly Thick Origamimentioning

confidence: 99%

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confidence: 99%

Large-scale modular and uniformly thick origami-inspired adaptable and load-carrying structures

Zhu,

Filipov

2024

Nat Commun

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“…The Rhino modeling workspace combined with Grasshopper supports graphics and morphology research during the design, providing convenience for design [9].Grasshopper is a parametric plugin for the Rhino platform, which is a very powerful tool for parametric design. [10].…”

Section: Grasshopper Parametric Design Platformmentioning

confidence: 99%

Research on parametric design of wine bottle modeling based on Grasshopper

Xiang,

Lei

2024

Proceedings of the 2nd International Conference on Art Design and Digital Technology, ADDT 2023, September 15–17, 2023, Xi’an,

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This paper combs the function, shape, process and material of the existing wine bottles on the market, analyzes and summarizes the characteristics of the existing wine bottles. It explores the application scenarios and methods of parametric design in the design of wine bottles. By summarizing the concept and characteristics of parametric design, parametric modeling technology and the design process of wine bottles, it presents the modeling process of wine bottle design with Grasshopper, and verifies the effectiveness of the design process by using the Grasshopper parametric platform to build models for practical product cases.

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Simulation and design of isostatic thick origami structures

Micheletti,

Tiero,

Tomassetti

2024

Meccanica

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Thick origami structures are considered here as assemblies of polygonal panels hinged to each other along their edges according to a corresponding origami crease pattern. The determination of the internal actions in equilibrium with the external loads in such structures is not an easy task, owing to their high degree of static indeterminacy, and the likelihood of unwanted self-balanced internal actions induced by manufacturing imperfections. Here, we present a method for reducing the degree of static indeterminacy which can be applied to several thick origami structures to make them isostatic. The method utilizes sliding hinges, which allow relative translation along the hinge axis, to replace conventional hinges. After giving the analytical description of both types of hinges and describing a rigid folding simulation procedure based on the integration of the exponential map, we present the static analysis of a series of noteworthy examples based on the Miura-ori pattern, the Yoshimura pattern, and the Kresling pattern. Our method, based on kinematic-static duality, provides a novel design paradigm that can be applied for the design and realization of thick origami structures with adequate strength to resist external actions.

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Kinematic and Static Design of Rigid Origami Structures: Application to Modular Yoshimura Patterns

Cited by 9 publications

References 29 publications

Large-scale modular and uniformly thick origami-inspired adaptable and load-carrying structures

Large-scale modular and uniformly thick origami-inspired adaptable and load-carrying structures

Research on parametric design of wine bottle modeling based on Grasshopper

Simulation and design of isostatic thick origami structures

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