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Related papers: Rigidity control of general origami structures

200 papers

Morphing surfaces provide a versatile tool to advance the functionalities of high-performance aircraft, soft robots, biomedical devices, and human-machine interfaces. However, achieving precise shape transformation and mechanical property…

We consider several quadrilateral origami tilings, including the Miura-ori crease pattern, allowing for crease-reversal defects above the ground state which maintain local flat-foldability. Using exactly solvable models, we show that these…

Mathematical Physics · Physics 2018-09-12 Michael Assis

Four rigid panels connected by hinges that meet at a point form a 4-vertex, the fundamental building block of origami metamaterials. Here we show how the geometry of 4-vertices, given by the sector angles of each plate, affects their…

Soft Condensed Matter · Physics 2016-03-23 Scott Waitukaitis , Martin van Hecke

We develop a geometric approach to understand the mechanics of perforated thin elastic sheets, using the method of strain-dependent image elastic charges. This technique recognizes the buckling response of a hole under external load as a…

Soft Condensed Matter · Physics 2019-02-06 Michael Moshe , Edward Esposito , Suraj Shankar , Baris Bircan , Itai Cohen , David R. Nelson , Mark J. Bowick

Origami-inspired structures have a rich design space, offering new opportunities for the development of deployable systems that undergo large and complex yet predictable shape transformations. There has been growing interest in such…

Applied Physics · Physics 2020-07-01 N. Kidambi , K. W. Wang

Manipulation of thin sheets by folding and cutting offers opportunity to engineer structures with novel mechanical properties, and to prescribe complex force-displacement relationships via material elasticity in combination with the…

Applied Physics · Physics 2017-07-13 Nigamaa Nayakanti , Sameh H. Tawfick , A. John Hart

Kirigami, the traditional paper-cutting craft, holds immense potential for revolutionizing robotics by providing multifunctional, lightweight, and adaptable solutions. Kirigami structures, characterized by their bending-dominated…

Robotics · Computer Science 2025-10-09 Saravana Prashanth Murali Babu , Aida Parvaresh , Ahmad Rafsanjani

Origami is the art of paper folding, and it borrows its name from two Japanese words \emph{ori} and \emph{kami}. In Japanese, {ori} means folding, and the paper is called {kami}. While origami is just a hobby to most, there is a lot more to…

History and Overview · Mathematics 2025-03-18 Archana S. Morye

Electro-thermally actuated origami provides a novel method for creating 3-D systems with advanced morphing and functional capabilities. However, it is currently difficult to simulate the multi-physical behavior of such systems because the…

Robotics · Computer Science 2022-04-14 Yi Zhu , Evgueni T. Filipov

The article studies the elastic and locomotive properties of Miura-ori-type paper origami. The mechanics of a single paper crease is studied experimentally, and its non-elastic properties turn out to be crucial. The entire origami…

Soft Condensed Matter · Physics 2019-04-16 Oryna Ivashtenko , Polina Kofman , Oleksiy Golubov , Zakhar Maizelis

Kirigami patterned materials have found several applications in recent years due to their ability to assume complicated shapes and exhibit emergent physical properties when exposed to external forces. Consisting of an array of cuts in a…

Fluid Dynamics · Physics 2023-11-17 Adrian G. Carleton , Yahya Modarres-Sadeghi

Origami-inspired structures with rigid panels now span thick, kirigami, and multi-sheet realizations, making unified kinematic analysis essential. Yet a general method that consolidates their loop constraints has been lacking. We present an…

Robotics · Computer Science 2026-01-16 Dongwook Kwak , Geonhee Cho , Jiook Chung , Jinkyu Yang

We establish a novel local-global framework for analyzing rigid origami mechanics through cosheaf homology, proving the equivalence of truss and hinge constraint systems via an induced linear isomorphism. This approach applies to origami…

Algebraic Topology · Mathematics 2025-01-07 Zoe Cooperband , Robert Ghrist

The presence of cuts in a thin planar sheet can dramatically alter its mechanical and geometrical response to loading, as the cuts allow the sheet to deform strongly in the third dimension. We use numerical experiments to characterize the…

Soft Condensed Matter · Physics 2021-12-28 Gaurav Chaudhary , Lauren Niu , Marta Lewicka , Qing Han , L Mahadevan

Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployable patterns that derive inspiration from geometric art forms…

Soft Condensed Matter · Physics 2021-08-17 Lucy Liu , Gary P. T. Choi , L. Mahadevan

Origami-inspired self-deployable structures offer lightweight, compact, and autonomous deployment capabilities, making them highly attractive for aerospace and defence applications, such as solar panels, antennas, and reflector systems.…

Soft Condensed Matter · Physics 2025-10-10 Suraj Singh Gehlot , Siddhanth Gautam , Sanhita Das

The ancient art of origami, traditionally used to transform simple sheets into intricate objects, also holds potential for diverse engineering applications, such as shape morphing and robotics. In this study, we demonstrate that one of the…

Robotics · Computer Science 2024-10-29 Davood Farhadi , Laura Pernigoni , David Melancon , Katia Bertoldi

An underdeveloped capability in soft robotics is proprioceptive feedback control, where soft actuators can be sensed and controlled using only sensors on the robot's body. Additionally, soft actuators are often unable to support human-scale…

Origami structures enabled by folding and unfolding can create complex 3D shapes. However, even a small 3D shape can have large 2D unfoldings. The huge initial dimension of the 2D flattened structure makes fabrication difficult, and defeats…

Computational Geometry · Computer Science 2018-03-12 Zhonghua Xi , Yu-Ki Lee , Young-Joo Lee , Yun-hyeong Kim , Huangxin Wang , Yue Hao , Young-Chang Joo , In-Suk Choi , Jyh-Ming Lien

We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as…

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