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Design and Numerical Analysis of Vibration Isolators with Quasi-zero-stiffness Characteristics Using Bi-stable Foldable Structures

[+] Author and Article Information
Sachiko Ishida

Senior Assistant Professor Department of Mechanical Engineering, School of Science and Technology, Meiji University 1-1-1, Higashimita, Kawasaki, Kanagawa 2148571, Japan
sishida@meiji.ac.jp

Hiroshi Uchida

Professor Department of Mechanical Systems Engineering, Faculty of Engineering, Fukuyama University 1, Sanzo, Gakuen-cho, Fukuyama, Hiroshima 7290292, Japan
uchidah@fume.fukuyama-u.ac.jp

Haruo Shimosaka

Professor Department of Mechanical Engineering, School of Science and Technology, Meiji University 1-1-1, Higashimita, Kawasaki, Kanagawa 2148571, Japan
hshimos@meiji.ac.jp

Ichiro Hagiwara

Professor Meiji Institute for Advanced Study of Mathematical Sciences Meiji University 4-21-1, Nakano, Tokyo 1648525, Japan
ihagi@meiji.ac.jp

1Corresponding author.

ASME doi:10.1115/1.4036096 History: Received September 10, 2015; Revised January 05, 2017

Abstract

In this paper, a novel vibration isolator based on a foldable cylinder with Kresling’s pattern is proposed, and the performance of the proposed isolator in terms of preventing structural vibration is numerically evaluated. It is known that foldable cylinders with Kresling’s pattern provide bi-stable folding motions under specific conditions. For simplification, a foldable cylinder with Kresling’s pattern is modeled using horizontal, longitudinal, and diagonal truss elements connected by rotational joints and enforced by Ramen frames, while maintaining the bi-stability of the structure. Additional linear springs are incorporated into the structure in order to obtain a nonlinear spring with quasi-zero-stiffness characteristics. It is numerically established that the combined structure (i) does not have resonant frequencies and (ii) decreases the vibration response even at high frequencies when it is used around the equilibrium position at which the spring stiffness is quasi-zero.

Copyright (c) 2017 by ASME
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