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Title: Elastic metamaterial beam with remotely tunable stiffness

Abstract

We demonstrate a dynamically tunable elastic metamaterial, which employs remote magnetic force to adjust its vibration absorption properties. The 1D metamaterial is constructed from a flat aluminum beam milled with a linear array of cylindrical holes. The beam is backed by a thin elastic membrane, on which thin disk-shaped permanent magnets are mounted. When excited by a shaker, the beam motion is tracked by a Laser Doppler Vibrometer, which conducts point by point scanning of the vibrating element. Elastic waves are unable to propagate through the beam when the driving frequency excites the first elastic bending mode in the unit cell. At these frequencies, the effective mass density of the unit cell becomes negative, which induces an exponentially decaying evanescent wave. Due to the non-linear elastic properties of the membrane, the effective stiffness of the unit cell can be tuned with an external magnetic force from nearby solenoids. Measurements of the linear and cubic static stiffness terms of the membrane are in excellent agreement with experimental measurements of the bandgap shift as a function of the applied force. In this implementation, bandgap shifts by as much as 40% can be achieved with ∼30 mN of applied magnetic force. This structure hasmore » potential for extension in 2D and 3D, providing a general approach for building dynamically tunable elastic metamaterials for applications in lensing and guiding elastic waves.« less

Authors:
 [1];  [2];  [3];  [4];  [1];  [5]
  1. University of Michigan–Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240 (China)
  2. School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240 (China)
  3. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240 (China)
  4. College of Physics, Optoelectronics and Energy & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006 (China)
  5. (United States)
Publication Date:
OSTI Identifier:
22494982
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 119; Journal Issue: 5; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; ALUMINIUM; BENDING; CYLINDRICAL CONFIGURATION; DENSITY; EFFECTIVE MASS; ELASTICITY; FLEXIBILITY; MEMBRANES; METAMATERIALS; PERMANENT MAGNETS; SOLENOIDS

Citation Formats

Qian, Wei, Yu, Zhengyue, Wang, Xiaole, Lai, Yun, Yellen, Benjamin B., E-mail: yellen@duke.edu, and Department of Mechanical Engineering and Materials Science, Duke University, P.O. Box 90300, Hudson Hall, Durham, North Carolina 27708. Elastic metamaterial beam with remotely tunable stiffness. United States: N. p., 2016. Web. doi:10.1063/1.4941273.
Qian, Wei, Yu, Zhengyue, Wang, Xiaole, Lai, Yun, Yellen, Benjamin B., E-mail: yellen@duke.edu, & Department of Mechanical Engineering and Materials Science, Duke University, P.O. Box 90300, Hudson Hall, Durham, North Carolina 27708. Elastic metamaterial beam with remotely tunable stiffness. United States. doi:10.1063/1.4941273.
Qian, Wei, Yu, Zhengyue, Wang, Xiaole, Lai, Yun, Yellen, Benjamin B., E-mail: yellen@duke.edu, and Department of Mechanical Engineering and Materials Science, Duke University, P.O. Box 90300, Hudson Hall, Durham, North Carolina 27708. Sun . "Elastic metamaterial beam with remotely tunable stiffness". United States. doi:10.1063/1.4941273.
@article{osti_22494982,
title = {Elastic metamaterial beam with remotely tunable stiffness},
author = {Qian, Wei and Yu, Zhengyue and Wang, Xiaole and Lai, Yun and Yellen, Benjamin B., E-mail: yellen@duke.edu and Department of Mechanical Engineering and Materials Science, Duke University, P.O. Box 90300, Hudson Hall, Durham, North Carolina 27708},
abstractNote = {We demonstrate a dynamically tunable elastic metamaterial, which employs remote magnetic force to adjust its vibration absorption properties. The 1D metamaterial is constructed from a flat aluminum beam milled with a linear array of cylindrical holes. The beam is backed by a thin elastic membrane, on which thin disk-shaped permanent magnets are mounted. When excited by a shaker, the beam motion is tracked by a Laser Doppler Vibrometer, which conducts point by point scanning of the vibrating element. Elastic waves are unable to propagate through the beam when the driving frequency excites the first elastic bending mode in the unit cell. At these frequencies, the effective mass density of the unit cell becomes negative, which induces an exponentially decaying evanescent wave. Due to the non-linear elastic properties of the membrane, the effective stiffness of the unit cell can be tuned with an external magnetic force from nearby solenoids. Measurements of the linear and cubic static stiffness terms of the membrane are in excellent agreement with experimental measurements of the bandgap shift as a function of the applied force. In this implementation, bandgap shifts by as much as 40% can be achieved with ∼30 mN of applied magnetic force. This structure has potential for extension in 2D and 3D, providing a general approach for building dynamically tunable elastic metamaterials for applications in lensing and guiding elastic waves.},
doi = {10.1063/1.4941273},
journal = {Journal of Applied Physics},
number = 5,
volume = 119,
place = {United States},
year = {Sun Feb 07 00:00:00 EST 2016},
month = {Sun Feb 07 00:00:00 EST 2016}
}