Design of rigid-foldable doubly curved origami tessellations based on trapezoidal crease patterns

Song, Keyao; Zhou, Xiang; Zang, S. L.; Wang, Hai; Zhang, You

doi:10.1098/rspa.2017.0016

Cited by 28 publications

(20 citation statements)

References 19 publications

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“…In this section, a geometric model of the doubly curved array is developed based on the relationships identified in Song et al (2017). These geometric definitions are then used to predict acoustic pressure radiation from the vibrating facets using Rayleigh’s integral (Kinsler et al, 1999; Williams, 1999).…”

Section: Model Formulationmentioning

confidence: 99%

“…There are two types of vertices on the array: those vertices lying on ζ f radial lines referred to as F-type vertices and those lying on ζ c radial lines referred to as C-type vertices. According to Song et al (2017), the angles formed by radial creases ζ f and ζ c at each internal vertices are, respectively, equal to η fa and η ca . Similarly, the circumferential angle counterparts are η fb and η cb .…”

Section: Model Formulationmentioning

confidence: 99%

“…For practices of acoustic wave focusing, it is necessary to create curvature of the activated facets to radiate waves toward a common focal region (Zou et al, 2018). Song et al (2017) studied doubly curved origami structures based on Miura-ori and adopted spherical and aspherical profiles for the curvature. The study reported the design parameter relationships governing the mechanical configuration of the rotationally symmetric geometry (Song et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

“…Song et al (2017) studied doubly curved origami structures based on Miura-ori and adopted spherical and aspherical profiles for the curvature. The study reported the design parameter relationships governing the mechanical configuration of the rotationally symmetric geometry (Song et al, 2017). The doubly curved Miura crease pattern is of interest in the current investigation for sake of the rotationally symmetric shape created by the partially folded tessellation (Figure 1(a)), which may realize wave focusing using a design whereby the facets vibrate to produce sound.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Acoustic wave focusing by doubly curved origami-inspired arrays

Srinivas

Harne

2020

Journal of Intelligent Material Systems and Structures

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Spherically focused transducers have been long relied on to target acoustic energy delivery. Yet, these structures have limitations with respect to size and mobility for medical treatment applications. Recent developments in the field of reconfigurable structures reveal that the ancient art of origami inspires new platforms by which to enable spherical shapes that are additionally foldable for ease of transport. This research explores the opportunities for a unique, flat foldable doubly curved tessellated array to enable wave focusing capability similar to an ideal medical transducer shape: the spherical cap transducer. An analytical model of the doubly curved array is created and validated against data collected from a proof-of-concept array. The model is then leveraged to understand how the array design and complexity relatively govern the wave focusing capability. The findings show that doubly curved acoustic arrays do not require excessive facet refinement to achieve wave focusing similar to nominal spherically focused transducers. Yet, the optimal frequencies for which such capability is borne out vary substantially on the basis of array design. The discoveries of this research motivate future consideration of flat foldable doubly curved acoustic arrays for potential implementation into medical transducer development for hard-to-access surgical treatments.

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Section: Model Formulationmentioning

confidence: 99%

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Acoustic wave focusing by doubly curved origami-inspired arrays

Srinivas

Harne

2020

Journal of Intelligent Material Systems and Structures

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“…Song et al. 9 developed a method to generate foldcores between two doubly curved surfaces with rotational symmetry. Ma et al.…”

Section: Introductionmentioning

confidence: 99%

Quasi-static mechanical properties of novel generalized Resch-pattern composite foldcores

Deng

Ji²,

Zhou

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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A new geometric design method for foldcores based on the generalized Resch patterns that allow face-to-face bonding interfaces between the core and the skins is proposed. Based on the geometric design method, a systematic numerical investigation on the quasi-static mechanical properties of the generalized Resch-based foldcores made of carbon fiber-reinforced plastic (CFRP) woven fabrics subjected to compression and shear loads is performed using the finite element method that is validated by experiments. The relationships between the mechanical properties and various geometric parameters as well as laminate thickness of the generalized Resch-based CFRP foldcores are revealed. Additionally, the mechanical properties of the generalized Resch-based CFRP foldcore are compared to those of the standard Resch-based, Miura-based foldcore, the honeycomb core, and the aluminum counterpart. It is found that the generalized Resch-based CFRP foldcore performs more stably than the honeycomb core under compression and has higher compressive and shear stiffnesses than the standard Resch-based and Miura-based foldcores and absorbs as nearly twice energy under compression as the Miura-based foldcore does. When compared with the aluminum counterpart, the CFRP model has higher weight-specific stiffness and strength but lower energy absorption capacity under shearing. The results presented in this paper can serve as the useful guideline for the design of the generalized Resch-based composite foldcore sandwich structures for various performance goals.

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Engineering Origami: A Comprehensive Review of Recent Applications, Design Methods, and Tools

et al. 2021

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Origami-based designs refer to the application of the ancient art of origami to solve engineering problems of different nature. Despite being implemented at dimensions that range from the nano to the meter scale, origami-based designs are always defined by the laws that govern their geometrical properties at any scale. It is thus not surprising to notice that the study of their applications has become of cross-disciplinary interest. This article aims to review recent origami-based applications in engineering, design methods and tools, with a focus on research outcomes from 2015 to 2020. First, an introduction to origami history, mathematical background and terminology is given. Origami-based applications in engineering are reviewed largely in the following fields: biomedical engineering, architecture, robotics, space structures, biomimetic engineering, fold-cores, and metamaterials. Second, design methods, design tools, and related manufacturing constraints are discussed. Finally, the article concludes with open questions and future challenges.

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Design of rigid-foldable doubly curved origami tessellations based on trapezoidal crease patterns

Cited by 28 publications

References 19 publications

Acoustic wave focusing by doubly curved origami-inspired arrays

Acoustic wave focusing by doubly curved origami-inspired arrays

Quasi-static mechanical properties of novel generalized Resch-pattern composite foldcores

Engineering Origami: A Comprehensive Review of Recent Applications, Design Methods, and Tools

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