A Unified Framework for Kinematic Simulation of Rigid-Foldable Structures

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ID: 317800
2026
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Abstract
Abstract Origami-inspired structures with rigid panels now span thick, kirigami, and multi-sheet realizations, making unified kinematic analysis essential. Yet a generalized pipeline that systematically translates their geometric definitions into mathematical loop-closure constraints has been lacking. We present an automated approach that constructs the Pfaffian constraint matrix directly from pattern-level geometric data for a broad class of rigid-foldable structures (RFSs). From a minimally extended data schema, the tool first constructs the facet–hinge graph and extracts a minimum cycle basis to capture all constraints. Subsequently, it employs screw theory to assemble a velocity-level constraint matrix, which encodes coupled rotation-translation loop closure. The framework computes and visualizes deployment and folding motions across diverse RFSs, while eliminating tedious, error-prone constraint calculations.
Reference Key
openalex_W7165396980 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors DongWook Kwak, Geonhee Cho, Jiook Chung, Jinkyu Yang
Journal journal of computational design and engineering
Year 2026
DOI
10.1093/jcde/qwag053
URL
https://doi.org/10.1093/jcde/qwag053
Keywords Keywords not found

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