Inverse design of deployable origami structures that approximate a general surface

Xiangxin Dang, Fan Feng, Paul Plucinsky, Richard D. James, Huiling Duan, Jianxiang Wang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Shape-morphing finds widespread utility, from the deployment of small stents and large solar sails to actuation and propulsion in soft robotics. Origami structures provide a template for shape-morphing, but rules for designing and folding the structures are challenging to integrate into broad and versatile design tools. Here, we develop a sequential two-stage optimization framework to approximate a general surface by a deployable origami structure. The optimization is performed over the space of all possible rigidly and flat-foldable quadrilateral mesh origami. So, the origami structures produced by our framework come with desirable engineering properties: they can be easily manufactured on a flat reference sheet, deployed to their target state by a controlled folding motion, then to a compact folded state in applications involving storage and portability. The attainable surfaces demonstrated include those with modest but diverse curvatures and unprecedented ones with sharp ridges. The framework provides not only a tool to design various deployable and retractable surfaces in engineering and architecture, but also a route to optimizing other properties and functionality.

Original languageEnglish (US)
Article number111224
JournalInternational Journal of Solids and Structures
Volume234-235
DOIs
StatePublished - Sep 2 2021

Bibliographical note

Funding Information:
The authors thank Prof. Dr. T. Vetter, Department of Computer Science, and the University of Basel for the source of the human face data. The authors thank the High-performance Computing Platform of Peking University for the computation resources. This work was partly supported by the MURI program, USA (FA9550-16-1-0566). R.D.J. also thanks ONR, USA (N00014-14-1-0714) and a Vannevar Bush Faculty Fellowship for partial support of this work. X.D. H.D. and J.W. thank the National Natural Science Foundation of China (Grant Nos. 11991033, 91848201, and 11521202) for support of this work. X.D. thanks Dr. Lu Lu for assistance in laser cutting.

Funding Information:
The authors thank Prof. Dr. T. Vetter, Department of Computer Science, and the University of Basel for the source of the human face data. The authors thank the High-performance Computing Platform of Peking University for the computation resources. This work was partly supported by the MURI program, USA ( FA9550-16-1-0566 ). R.D.J. also thanks ONR, USA ( N00014-14-1-0714 ) and a Vannevar Bush Faculty Fellowship for partial support of this work. X.D., H.D. and J.W. thank the National Natural Science Foundation of China (Grant Nos. 11991033 , 91848201 , and 11521202 ) for support of this work. X.D. thanks Dr. Lu Lu for assistance in laser cutting.

Publisher Copyright:
© 2021 Elsevier Ltd

Keywords

  • Deployability
  • Inverse design
  • Optimization
  • Origami

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