Design and Numerical Analysis of Vibration Isolators With Quasi-Zero-Stiffness Characteristics Using Bistable Foldable Structures

Ishida, Shigemi; Uchida, Hiroshi; Shimosaka, Haruo; Hagiwara, Ichiro

doi:10.1115/1.4036096

Cited by 52 publications

(14 citation statements)

References 18 publications

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“…The results revealed that the intra and inter‐well dynamics of the bistable stacked Miura‐ori are strongly influenced by the asymmetry in its force‐deformation relationship. A cylindrical truss structure inspired by the Kresling folding pattern were investigated for vibration isolation both numerically and experimentally . This vibration isolation function stemmed from a quasi‐zero stiffness (QZS) property obtained by integrating a linear spring with the bistable Kresling pattern.…”

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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“…As θ is between 0 and 1 and U r ðX Þ is less than 0.1 in equation ( 9), the cosine and sine terms in equation ( 9) can be replaced by their first-order Taylor expansion, which gives equation (10) without introducing significant error.…”

Section: Force-displacement Response and Maximum Strainmentioning

confidence: 99%

“…These elements are designed so that overall stiffness of the system was close to zero when imposed with the gravity load of the isolating mass. 2 Researchers are continuously exploring new and better mechanisms to achieve the QZS, including the folded pendulum or X-pendulum, [3][4][5] magnetic ant-springs, 2,6,7 anti-springs based on geometric nonlinearity, [8][9][10][11][12][13][14][15] Euler buckling beams, 16,17 and the bistable structures. 18 In addition to the requirement of the stiffness and loading capacity, there are often limitations on overall weight of the isolator, especially when the isolator is used in aerospace engineering.…”

Section: Introductionmentioning

confidence: 99%

Quasi-zero stiffness isolator based on bistable structures with variable cross-section

Zhang

Shi

Yang

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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Simple and light-weighted quasi-zero stiffness (QZS) isolators can be designed based on nonlinear and negative stiffness generated by the snap-through effect of bistable structures. Traditionally, the snap-through force of the bistable structure is limited which makes the weight which can be isolated based on this mechanism very low. This paper investigates increasing loading capacity of this kind of isolator by using an optimized and varying sectional profile. Numerical models were derived for the bistable structures with variable sectional distributions. Optimized sections’ alignment of the bistable beam was derived based on the numerical model which was consequently validated by experimental results. Influences of the bistable beams with a variable section on nonlinear stiffness characteristics and performance of the isolator were at last investigated with the harmonic balance method.

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“…Fulcher et al [19] developed a kind of QZS system using buckled beams to generate a negative stiffness. Ishida et al [20] presented a prototype vibration isolator based on a foldable cylinder with a torsional buckling pattern for the negative stiffness. Lan et al [21] designed a special planar spring to manage a wide range of loads and the QZS system had a better vibration isolation performance compared with linear isolators.…”

Section: Introductionmentioning

confidence: 99%

Design, Experiment, and Improvement of a Quasi-Zero-Stiffness Vibration Isolation System

et al. 2020

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This paper proposes a new kind of quasi-zero-stiffness (QZS) isolation system that has the property of low-dynamic but high-static stiffness. The negative stiffness was produced using two magnetic rings, the magnetization of which is axial. First, the force–displacement characteristic of the two coupled magnetic rings was developed and the relationship between the parameters of the magnetic rings and the stiffness of the system was investigated. Then, the dynamic response of the QZS was analyzed. The force transmissibility of the system was calculated and the effects of the damping ratio and excitation amplitude on the isolation performance were investigated. The prototype of the QZS system was developed to verify the isolation effects of the system based on a comparison with a linear vibration isolation platform. Lastly, the improvement of the QZS system was conducted based on changing the heights of the ring magnets and designing a proper non-linear spring. The analysis shows the QZS system after improvement shows better isolation effects than that of the non-improved system.

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Design and Numerical Analysis of Vibration Isolators With Quasi-Zero-Stiffness Characteristics Using Bistable Foldable Structures

Cited by 52 publications

References 18 publications

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties

Quasi-zero stiffness isolator based on bistable structures with variable cross-section

Design, Experiment, and Improvement of a Quasi-Zero-Stiffness Vibration Isolation System

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