In this paper, a novel vibration isolator based on a foldable cylinder with a torsional buckling pattern, which is also called 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 a torsional buckling pattern provide bistable folding motions under specific conditions. For simplification, a foldable cylinder with a torsional buckling pattern is modeled using horizontal, longitudinal, and diagonal truss elements connected by rotational joints and enforced by rigid frames, which are also called Rahmen, while maintaining the bistability 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: (i) the resonance of the combined structure is effectively suppressed and (ii) the structure decreases the vibration response even at high frequencies when it is used around the equilibrium position at which the spring stiffness is quasi-zero.
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June 2017
Research-Article
Design and Numerical Analysis of Vibration Isolators With Quasi-Zero-Stiffness Characteristics Using Bistable Foldable Structures
Sachiko Ishida,
Sachiko Ishida
Senior Assistant Professor
Mem. ASME
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: sishida@meiji.ac.jp
Mem. ASME
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: sishida@meiji.ac.jp
Search for other works by this author on:
Hiroshi Uchida,
Hiroshi Uchida
Professor
Department of Mechanical Systems Engineering,
Faculty of Engineering,
Fukuyama University,
1, Sanzo, Gakuen-cho,
Fukuyama, Hiroshima 7290292, Japan
e-mail: uchidah@fume.fukuyama-u.ac.jp
Department of Mechanical Systems Engineering,
Faculty of Engineering,
Fukuyama University,
1, Sanzo, Gakuen-cho,
Fukuyama, Hiroshima 7290292, Japan
e-mail: uchidah@fume.fukuyama-u.ac.jp
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Haruo Shimosaka,
Haruo Shimosaka
Professor
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: hshimos@meiji.ac.jp
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: hshimos@meiji.ac.jp
Search for other works by this author on:
Ichiro Hagiwara
Ichiro Hagiwara
Professor
Fellow ASME
Meiji Institute for Advanced Study of
Mathematical Sciences,
Meiji University,
4-21-1, Nakano,
Tokyo 1648525, Japan
e-mail: ihagi@meiji.ac.jp
Fellow ASME
Meiji Institute for Advanced Study of
Mathematical Sciences,
Meiji University,
4-21-1, Nakano,
Tokyo 1648525, Japan
e-mail: ihagi@meiji.ac.jp
Search for other works by this author on:
Sachiko Ishida
Senior Assistant Professor
Mem. ASME
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: sishida@meiji.ac.jp
Mem. ASME
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: 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
e-mail: uchidah@fume.fukuyama-u.ac.jp
Department of Mechanical Systems Engineering,
Faculty of Engineering,
Fukuyama University,
1, Sanzo, Gakuen-cho,
Fukuyama, Hiroshima 7290292, Japan
e-mail: 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
e-mail: hshimos@meiji.ac.jp
Department of Mechanical Engineering,
School of Science and Technology,
Meiji University,
1-1-1, Higashimita,
Kawasaki, Kanagawa 2148571, Japan
e-mail: hshimos@meiji.ac.jp
Ichiro Hagiwara
Professor
Fellow ASME
Meiji Institute for Advanced Study of
Mathematical Sciences,
Meiji University,
4-21-1, Nakano,
Tokyo 1648525, Japan
e-mail: ihagi@meiji.ac.jp
Fellow ASME
Meiji Institute for Advanced Study of
Mathematical Sciences,
Meiji University,
4-21-1, Nakano,
Tokyo 1648525, Japan
e-mail: ihagi@meiji.ac.jp
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 10, 2015; final manuscript received January 5, 2017; published online April 24, 2017. Editor: I. Y. (Steve) Shen.
J. Vib. Acoust. Jun 2017, 139(3): 031015 (8 pages)
Published Online: April 24, 2017
Article history
Received:
September 10, 2015
Revised:
January 5, 2017
Citation
Ishida, S., Uchida, H., Shimosaka, H., and Hagiwara, I. (April 24, 2017). "Design and Numerical Analysis of Vibration Isolators With Quasi-Zero-Stiffness Characteristics Using Bistable Foldable Structures." ASME. J. Vib. Acoust. June 2017; 139(3): 031015. https://doi.org/10.1115/1.4036096
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