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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
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Related Experiment Video

Updated: Dec 24, 2025

Folding and Characterization of a Bio-responsive Robot from DNA Origami
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Folding and Characterization of a Bio-responsive Robot from DNA Origami

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Helical Miura origami.

Fan Feng1, Paul Plucinsky2, Richard D James1

  • 1Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minnesota 55455, USA.

Physical Review. E
|April 16, 2020
PubMed
Summary

We mapped the design space of helical Miura origami, creating cylindrical structures from flat sheets. These rigid yet multistable origami offer new possibilities for actuators and metamaterials.

Area of Science:

  • Origami Engineering
  • Metamaterials Science
  • Mechanical Engineering

Background:

  • Miura origami, a parallelogram-based folding pattern, offers unique mechanical properties.
  • Cylindrical structures are desirable for applications requiring specific deformation modes.

Purpose of the Study:

  • To comprehensively characterize the phase space of helical Miura origami.
  • To provide design guidance for creating reconfigurable cylindrical origami structures.

Main Methods:

  • Systematic analysis of partially folded Miura parallelograms as unit cells.
  • Application of helical and rod groups to identify globally compatible origami structures.
  • Investigation of deformation strategies inspired by atomic structure mechanics.

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Main Results:

  • Identification of parameters for globally compatible, cylindrical-type origami.
  • Demonstration that closed helical Miura origami are rigid under cylindrical symmetry but exhibit multistability.
  • Development of two reconfigurability strategies: motion by slip and motion by phase transformation.

Conclusions:

  • A complete phase space description of cylindrical origami is established.
  • Quantitative design guidance is provided for using these origami as actuators or metamaterials.
  • Exploitation of twist, axial extension, radial expansion, and symmetry in origami design is enabled.