Nonlinear dynamics of an adaptive origami-stent system

Rodrigues, Guilherme Vieira; Fonseca, Larissa M.; Savi, Marcelo A.; Paiva, Alberto

doi:10.1016/j.ijmecsci.2017.08.050

Cited by 36 publications

(10 citation statements)

References 10 publications

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“…This provided a unique mechanism for developing an adaptive QZS vibration isolator. In another study, the nonlinear dynamics of an adaptive origami stent system was numerically simulated to understand its deployment …”

Section: Folding Induced Mechanical Propertiesmentioning

confidence: 99%

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

et al. 2018

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devices, [26,27] to small-scale nano- [28][29][30] and DNA origamis. [31] A common theme in these studies is to exploit the sophisticated shape transformations from folding. For example, an origami robot is typically fabricated in a 2D flat configuration and then folded into the prescribed 3D shape to perform its tasks. The origamis have been treated essentially as linkage mechanisms in which rigid facets rotate around hingelike creases (aka "rigid-folding origami"). Elastic deformation of the constituent sheet materials or the dynamics of folding are often neglected. Such a limitation in scope indeed resonates the origin of this field, that is, folding was initially considered as a topic in geometry and kinematics.However, the increasingly diverse applications of origami require us to understand the force-deformation relationship and other mechanical properties of folded structures. Over the last decade, studies in this field started to expand beyond design and kinematics and into the domain of mechanics and dynamics. Catalyzed by this development, a family of architected origami materials quickly emerged (Figure 1). These materials are essentially assemblies of origami sheets or modules with carefully designed crease patterns. The kinematics of folding still plays an important role in creating certain properties of these origami materials. For example, rigid folding of the classical Miura-ori sheet induces an in-plane deformation pattern with auxetic properties (aka negative Poisson's ratios). [32,33] However, elastic energy in the deformed facets and creases, combined with their intricate spatial distributions, impart the origami materials with a rich list of desirable and even unorthodox properties that were never examined in origami before. For example, the Ron-Resch fold creates a unique tri-fold structure where pairs of triangular facets are oriented vertically to the overall origami sheet and pressed against each other. Such an arrangement can effectively resist buckling and create very high compressive load bearing capacity. [34] Other achieved properties include shape-reconfiguration, tunable nonlinear stiffness and dynamic characteristics, multistability, and impact absorption.Since the architected origami materials obtain their unique properties from the 3D geometries of the constituent sheets or modules, they can be considered a subset of architected cellular solids or mechanical metamaterials. [35][36][37][38][39] However, the origami materials have many unique characteristics. The rich geometries of origami offer us great freedom to tailor targeted Origami, the ancient Japanese art of paper folding, is not only an inspiring technique to create sophisticated shapes, but also a surprisingly powerful method to induce nonlinear mechanical properties. Over the last decade, advances in crease design, mechanics modeling, and scalable fabrication have fostered the rapid emergence of architected origami materials. These materials typically consist of folded origami sheets or modules with intricate 3D geomet...

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Section: Folding Induced Mechanical Propertiesmentioning

confidence: 99%

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

et al. 2018

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“…After the verification of the rigid foldability hypothesis, it is possible to investigate the description of the origami tessellation by using both the kinematics model and the FEA. Cylindrical origami tessellation is becoming an interesting alternative for the production of stents [16,27,28]. This section investigates the cylindrical origami tessellation that allows one to 123 check the conditions on validity of the assumption that a unit cell can represent the general behavior of the structure.…”

Section: Closed Waterbomb Tessellation: Cylindrical Origamimentioning

confidence: 99%

On the symmetries of the origami waterbomb pattern: kinematics and mechanical investigations

Fonseca

Savi

2021

Meccanica

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Origamis are becoming the inspiration of new adaptive structures applied for several purposes. One of the challenges of the design of the origami inspired structures is to deal with the large number of variables and degrees of freedom (DoFs) associated with such complex structures. Closed tessellations have a reduced number of DoF when compared to the opened ones. Besides, the coupling due to the closure of the tessellation promotes some periodicity along the structure. Symmetric behaviors allow the description of the structure from a unit cell behavior, establishing reduced-order models. This paper investigates the origami waterbomb pattern, exploring the unit cell behavior and its symmetries. Initially, kinematics analysis based on an equivalent mechanism approach establishes a reduced-order model associated with symmetry hypotheses. Afterward, mechanical analysis is investigated using a nonlinear finite element analysis through bar-and-hinge formulation. A comparison between both formulations is performed showing the range of validity of the reduced-order model description. The general conclusions are applied to a cylindrical tessellation under symmetric actuation showing the capability of the reduced-order model for the origami description. Results show that the rigid foldability hypothesis is the essential point for the equivalence between the two descriptions.

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“…Based on this concept, nonlinear wave dynamics of Tachi-Miura polyhedron (TMP) and triangulated cylindrical origami (TCO) origami metamaterials have been explored [43,44]. Another way to derive the equation of motion is to consider the origami structure as a highly nonlinear spring [46][47][48][49][50], whose equivalent constitutive relation can be obtained by energetic approaches or quasi-static tension and compression tests of the origami structure. For the sake of analysis, the constitutive relation can be further approximated by polynomials.…”

Section: Introductionmentioning

confidence: 99%

Transient Dynamics of a Miura-Origami Tube during Free Deployment

Fang

Chen

et al. 2020

Phys. Rev. Applied

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With excellent folding-induced deformability and shape reconfigurability, origami-based designs have shown great potentials in developing deployable structures. Noting that origami deployment is essentially a dynamic process, while its dynamical behaviors remain largely unexplored owing to the challenges in modeling. This research aims at advancing the state of the art of origami deployable structures by exploring the transient dynamics under free deployment, with the Miura-origami tube being selected as the object of study because it possesses relatively simple geometry, exceptional kinematic properties, and wide applications. In detail, a preliminary free deployment test is performed, which indicates that the transient oscillation in the transverse direction is nonnegligible and the tube deployment is no longer a single-degree-of-freedom (SDOF) mechanism. Based on experimental observations, four assumptions are made for modeling purposes, and a 2N-DOF dynamic model is established for an N-cell Miura-origami tube to predict the transient oscillations in both the deploying and the transverse directions.Employing the settling times and the overshoot values as the transient dynamic indexes, a comprehensive parameter study is then carried out. It reveals that both the physical and geometrical parameters will significantly affect the transient deploying dynamics, with some of the parameter dependence relationships being counter-intuitive. The results show that the relationships between the transient dynamic behaviors and the examined parameters are sometimes contradictory in the deploying and the transverse directions, suggesting the necessity of a compromise in design. Overall, this research proposes a novel method for constructing origami dynamic model. Although only the Miura-origami tube is exemplified in detail, the 2 / 36 methodologies are promising to be applied to other origami deployable systems because the established model is believed to be able to capture the essential characteristics of origami deployment, and meanwhile, hold good processability. In addition, the comprehensive parameter analysis results could provide useful guidance for the design and optimization of Miura-origami deployable tubes with robust dynamic performance.

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Nonlinear dynamics of an adaptive origami-stent system

Cited by 36 publications

References 10 publications

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

On the symmetries of the origami waterbomb pattern: kinematics and mechanical investigations

Transient Dynamics of a Miura-Origami Tube during Free Deployment

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