An efficient numerical approach for simulating contact in origami assemblages

Yi, Zhu; Filipov, Evgueni T.

doi:10.1098/rspa.2019.0366

Cited by 23 publications

(14 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The precise stiffness variation depends on the sheet material of the tube, but when that is known, it is possible to predict the external loading that will cause the tube to move from one rigid origami range to the other. Notice that the stiffness property of this tubular 6 Research waterbomb can also be revealed with the bar-and-hinge model such as the Merlin code [31] and the Origami Contact Simulator [34], or the smooth fold model [35].…”

Section: Mechanism-structure-mechanism Transitionmentioning

confidence: 80%

Folding of Tubular Waterbomb

Feng

Chen

et al. 2020

Research

View full text Add to dashboard Cite

Origami has recently emerged as a promising building block of mechanical metamaterials because it offers a purely geometric design approach independent of scale and constituent material. The folding mechanics of origami-inspired metamaterials, i.e., whether the deformation involves only rotation of crease lines (rigid origami) or both crease rotation and facet distortion (nonrigid origami), is critical for fine-tuning their mechanical properties yet very difficult to determine for origami patterns with complex behaviors. Here, we characterize the folding of tubular waterbomb using a combined kinematic and structural analysis. We for the first time uncover that a waterbomb tube can undergo a mixed mode involving both rigid origami motion and nonrigid structural deformation, and the transition between them can lead to a substantial change in the stiffness. Furthermore, we derive theoretically the range of geometric parameters for the transition to occur, which paves the road to program the mechanical properties of the waterbomb pattern. We expect that such analysis and design approach will be applicable to more general origami patterns to create innovative programmable metamaterials, serving for a wide range of applications including aerospace systems, soft robotics, morphing structures, and medical devices.

show abstract

Section: Mechanism-structure-mechanism Transitionmentioning

confidence: 80%

Folding of Tubular Waterbomb

Feng

Chen

et al. 2020

Research

View full text Add to dashboard Cite

show abstract

“…With this deviation being revealed, we now introduce a repulsive force field to model the stiffness increase within the post-contact regime 26,27 , such that the total force is now F total = F + f repulsive where F is the force from the conventional torsion spring model. We assume the force field of the form,…”

Section: Resultsmentioning

confidence: 99%

Heterogeneous origami-architected materials with variable stiffness

et al. 2021

View full text Add to dashboard Cite

Origami, the ancient art of paper folding, has shown its potential as a versatile platform to design various reconfigurable structures. The designs of most origami-inspired architected materials rely on a periodic arrangement of identical unit cells repeated throughout the whole system. It is challenging to alter the arrangement once the design is fixed, which may limit the reconfigurable nature of origami-based structures. Inspired by phase transformations in natural materials, here we study origami tessellations that can transform between homogeneous configurations and highly heterogeneous configurations composed of different phases of origami unit cells. We find that extremely localized and reprogrammable heterogeneity can be achieved in our origami tessellation, which enables the control of mechanical stiffness and in-situ tunable locking behavior. To analyze this high reconfigurability and variable stiffness systematically, we employ Shannon information entropy. Our design and analysis strategy can pave the way for designing new types of transformable mechanical devices.

show abstract

“…For more complicated patterns, kinematic analysis alone may not be sufficient to determine if the system can be folded accurately and the placement of actuators will play a significant role. [44] For these more complicated systems, bar and hinge models [45][46][47] that consider the mechanical properties of an origami can be used to study if the system can fold accurately. As demonstrated in Video S5 (Supporting Information), these micro-origami can alter between unfolded and folded 3D shapes swiftly.…”

Section: Toward Complex Origamimentioning

confidence: 99%

Elastically and Plastically Foldable Electrothermal Micro‐Origami for Controllable and Rapid Shape Morphing

Birla

Oldham

et al. 2020

Adv Funct Materials

Self Cite

View full text Add to dashboard Cite

Integrating origami principles within traditional microfabrication methods can produce shape morphing microscale metamaterials and 3D systems with complex geometries and programmable mechanical properties. However, available micro-origami systems usually have slow folding speeds, provide few active degrees of freedom, rely on environmental stimuli for actuation, and allow for either elastic or plastic folding but not both. This work introduces an integrated fabrication-design-actuation methodology of an electrothermal micro-origami system that addresses the above-mentioned challenges. Controllable and localized Joule heating from electrothermal actuator arrays enables rapid, large-angle, and reversible elastic folding, while overheating can achieve plastic folding to reprogram the static 3D geometry. Because the proposed micro-origami do not rely on an environmental stimulus for actuation, they can function in different atmospheric environments and perform controllable multi-degrees-of-freedom shape morphing, allowing them to achieve complex motions and advanced functions. Combining the elastic and plastic folding enables these micro-origami to first fold plastically into a desired geometry and then fold elastically to perform a function or for enhanced shape morphing. The proposed origami systems are suitable for creating medical devices, metamaterials, and microrobots, where rapid folding and enhanced control are desired.

show abstract

An efficient numerical approach for simulating contact in origami assemblages

Cited by 23 publications

References 50 publications

Folding of Tubular Waterbomb

Folding of Tubular Waterbomb

Heterogeneous origami-architected materials with variable stiffness

Elastically and Plastically Foldable Electrothermal Micro‐Origami for Controllable and Rapid Shape Morphing

Contact Info

Product

Resources

About