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From Folding Mechanics to Robotic Function: A Unified Modeling Framework for Compliant Origami

Lookup NU author(s): Dr Weicheng Huang

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

© 2026 The Author(s). Advanced Science published by Wiley-VCH GmbH.Origami-inspired architectures offer a powerful route toward lightweight, reconfigurable, and programmable robotic systems. Yet, a unified mechanics framework capable of seamlessly bridging rigid folding, elastic deformation, and stability-driven transitions in compliant origami remains lacking. Here, we introduce a geometry-consistent modeling framework based on discrete differential geometry (DDG) that unifies panel elasticity and crease rotation within a single variational formulation. By embedding crease–panel coupling directly into a mid-edge geometric discretization, the framework naturally captures rigid-folding limits, distributed bending, multistability, and nonlinear dynamic snap-through within one mechanically consistent structure. This unified description enables programmable control of stability and deformation across rigid and compliant regimes, allowing origami structures to transition from static folding mechanisms to active robotic modules. An implicit dynamic formulation incorporating gravity, contact, friction, and magnetic actuation further supports strongly coupled multiphysics simulations. Through representative examples spanning single-fold bifurcation, deployable Miura membranes, bistable Waterbomb modules, and Kresling-based crawling robots, we demonstrate how geometry-driven mechanics directly informs robotic functionality. This work establishes discrete differential geometry as a foundational design language for intelligent origami robotics, enabling predictive modeling, stability programming, and mechanics-guided robotic actuation within a unified computational platform.


Publication metadata

Author(s): Zhang B, Wang B, Ouyang H, Wu Z, Bi H, Xu J, Liu M, Huang W

Publication type: Article

Publication status: Published

Journal: Advanced Science

Year: 2026

Pages: epub ahead of print

Online publication date: 24/07/2026

Acceptance date: 06/07/2026

Date deposited: 04/08/2026

ISSN (print): 2198-3844

ISSN (electronic): 2198-3844

Publisher: John Wiley and Sons Inc

URL: https://doi.org/10.1002/advs.76715

DOI: 10.1002/advs.76715

Data Access Statement: The data that support the findings of this study are available from the corresponding author upon reasonable request.


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Funding

Funder referenceFunder name
National Natural Science Foun- dation of China (No. 12432002, 12402002, 12572073, 62388101)

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