Inverse design of three-dimensional surfaces via waterbomb tessellations

Article Mechanics

Inverse design of deployable origami structures that approximate a general surface

Xiangxin Dang et al.

Summary: Researchers have developed a two-stage optimization framework to design deployable origami structures that approximate a general surface, enabling the design of deployable and retractable surfaces in engineering and architecture.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)

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Article Engineering, Civil

A programmable origami-inspired space deployable structure with curved surfaces

Chunlong Wang et al.

Summary: This paper proposes a novel space deployable structure with curved surface based on origami design. By integrating two types of origami modules, this structure can be utilized to construct different target configurations. Geometric analysis and a comprehensive design method are provided, and two sample prototypes are manufactured to verify the potential applications of the origami-based deployable structures in aerospace engineering.

ENGINEERING STRUCTURES (2022)

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Article Engineering, Mechanical

Tunable origami metamaterial with arbitrary single-curvature configuration

Xiaowei Deng et al.

Summary: This paper proposes an innovative seven-crease waterbomb pattern and derives a recursive algorithm and design constraints based on the kinematic relationship. The folding feasibility of the proposed pattern is validated against finite element simulations, which match well with the theoretical results.

MECHANISM AND MACHINE THEORY (2022)

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Article Engineering, Mechanical

Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces

Yucai Hu et al.

Summary: This article presents a method for constructing generalized Miura-ori patterns that can approximate three-dimensional parametric surfaces while preserving the properties of standard Miura-ori. By placing vertices on the target surfaces and performing constrained optimization, rigid folding from the flat state to the target state with a single degree-of-freedom is achieved.

JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME (2021)

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Article Computer Science, Software Engineering

Computational design methods for cylindrical and axisymmetric waterbomb tessellations

Yan Zhao et al.

Summary: The study introduces computational design methods based on waterbomb tessellations for approximating cylindrical and axisymmetric curved surfaces. By considering symmetry and repetition, structures that meet the requirements can be constructed. The method also expands design variations, reduces flat-foldable residuals, and demonstrates physically engineered origami pieces.

COMPUTER AIDED GEOMETRIC DESIGN (2021)

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Article Engineering, Mechanical

A novel scheme of folding discretized surfaces of revolution inspired by waterbomb origami

JingMing Tang et al.

Summary: This paper proposes a scheme of folding discretized surfaces of revolution to create foldable 3D geometries, which shows the potential application in the field of aerospace. The feasibility of the folding scheme is verified by showing the formula of four typical surfaces and retaining the original surfaces' features.

MECHANISM AND MACHINE THEORY (2021)

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Article Multidisciplinary Sciences

An additive algorithm for origami design

Levi H. Dudte et al.

Summary: Folding patterns have a long history in nature and traditional origami, but have recently attracted mathematicians, engineers, and scientists. By solving the problem of growing a three-dimensional folded surface from a seed that is isometric to the plane in two steps, new possibilities for origami-based metastructure design are opened up.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2021)

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Article Engineering, Mechanical