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Accession number:
20130415930380
Title:
Metamaterial broadband vibration absorbers by local resonance
Authors:
Sun, Hongwei1; Du, Xingwen1; Frank Pai, P.2
Author affiliation:
1Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150001, China
2Dept. of Mechanical and Aerospace Engineering, University of Missouri, E2403C Lafferre Hall, Columbia, MO 65211, United States
Corresponding author:
Sun, H.
Source title:
Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Abbreviated source title:
Collect Tech Pap AIAA ASME ASCE AHS Struct Struct Dyn Mater
Monograph title:
52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Issue date:
2011
Publication year:
2011
Article number:
AIAA 2011-1781
Language:
English
ISSN:
02734508
CODEN:
CPSCDO
ISBN-13:
9781600869518
Document type:
Conference article (CA)
Conference name:
52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Conference date:
April 4, 2011 - April 7, 2011
Conference location:
Denver, CO, United states
Conference code:
95047
Publisher:
American Institute of Aeronautics and Astronautics Inc., 1801 Alexander Bell Drive, Suite 500, Reston, VA 20191-4344, United States
Abstract:
Here we present methods for modeling, analysis, and design of metamaterial beams for broadband vibration absorption/isolation. The proposed metamaterial beam consists of a uniform isotropic beam with many small spring-mass-damper subsystems integrated at separated locations along the beam to act as vibration absorbers. For a unit cell of an infinite metamaterial beam, governing equations are derived using the extended Hamilton principle. The existence of stopband is demonstrated using a model based on averaging material properties over a cell length and a model based on finite element modeling and the Bloch-Floquet theory for periodic structures. However, these two idealized models cannot be used for finite beams and/or elastic waves having short wavelengths. For finite metamaterial beams, a linear finite element method is used for detailed modeling and analysis. Both translational and rotational absorbers are considered. Because results show that rotational absorbers are not efficient, only translational absorbers are recommended for practical designs. The concepts of negative effective mass and stiffness and how the spring-mass-damper subsystems create a stopband are explained in detail. Numerical simulations reveal that the actual working mechanism of the proposed metamaterial beam is based on the concept of conventional mechanical vibration absorbers. It uses the incoming elastic wave in the beam to resonate the integrated spring-mass-damper absorbers to vibrate in their optical mode at frequencies close to but above their local resonance frequencies to create shear forces and bending moments to straighten the beam and stop the wave propagation. This concept can be easily extended to design a broadband absorber that works for elastic waves of short and long wavelengths. Numerical examples validate the concept and show that, for high-frequency waves, the structure's boundary conditions do not have significant influence on the absorbers' function. However, for absorption of low-frequency waves, the boundary conditions and resonant modes of the structure need to be considered in the design. With appropriate design calculations, finite discrete spring-mass-damper absorbers can be used, and hence expensive micro- or nano-manufacturing techniques are not needed for design and manufacturing of such metamaterial beams for broadband vibration absorption/isolation. Copyright © 2011 by Hongwei Sun, Xingwen Du, Perngjin F. Pai.
Number of references:
23
Main heading:
Metamaterials
Controlled terms:
Boundary conditions - Design - Elastic waves - Finite element method - Manufacture - Nanocomposites - Structural dynamics
Uncontrolled terms:
Broadband absorbers - Broadband vibration - Cell lengths - Design calculations - Detailed modeling - Finite beams - Finite element modeling - Governing equations - Hamilton principle - High frequency waves - Idealized models - Isotropic beams - Linear finite elements - Local resonance - Long wavelength - Low-frequency waves - Material property - Model-based OPC - Nano-manufacturing - Negative effective mass - Numerical example - Optical modes - Resonant mode - Shear force - Short wavelengths - Spring-mass-damper - Stopband - Unit cells - Vibration absorber - Working mechanisms
Classification code:
933 Solid State Physics - 921.6 Numerical Methods - 921 Mathematics - 951 Materials Science - 761 Nanotechnology - 537.1 Heat Treatment Processes - 408 Structural Design - 751.1 Acoustic Waves
DOI:
10.2514/6.2011-1781
Database:
Compendex
Compilation and indexing terms, © 2013 Elsevier Inc.
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