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Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
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An efficient numerical approach for simulating contact in origami assemblages.

Yi Zhu1, Evgueni T Filipov1

  • 1Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI 48109, USA.

Proceedings. Mathematical, Physical, and Engineering Sciences
|November 19, 2019
PubMed
Summary

This study introduces an efficient numerical method to simulate self-contact in origami structures, crucial for understanding foldability and mechanical properties. The new model accurately captures contact-induced kinematics and mechanics, enabling simulation of origami thickness.

Keywords:
bar and hinge modelcontact simulationfoldabilityorigamithick origami

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Area of Science:

  • Engineering
  • Computational Mechanics
  • Materials Science

Background:

  • Origami-inspired structures offer innovative engineering solutions.
  • Simulating self-contact in origami is challenging but vital for predicting foldability, kinematics, and mechanical properties.

Purpose of the Study:

  • To present an efficient numerical approach for simulating panel contact in generalized origami frameworks.
  • To enable accurate prediction of origami system behavior influenced by self-contact.

Main Methods:

  • Developed a panel contact model based on the principle of stationary potential energy.
  • Formulated contact potential where forces and stiffness approach infinity as panel distance nears zero.
  • Utilized benchmark simulations to validate the model's accuracy.

Main Results:

  • The model successfully captures contact-induced kinematics and mechanics in origami.
  • Parameters can be tuned to simulate the thickness of origami structures.
  • Demonstrated validity, efficiency, and broad applicability through practical examples.

Conclusions:

  • The proposed numerical method significantly advances the simulation capabilities for origami engineering.
  • This approach unlocks the full potential of origami by accurately accounting for self-contact effects.
  • The model provides a robust tool for designing and analyzing complex origami-based systems.