Design of nacreous composite material for vibration isolation based on band gap manipulation

Yin, Jiuli; Peng, Haijun; Zhang, S.; Zhang, H.W.; Chen, B.S.

doi:10.1016/j.commatsci.2015.01.032

Cited by 21 publications

(5 citation statements)

References 33 publications

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“…Periodic material microstructures having a rigid phase with dominant volumetric fraction and a soft phase with a vanishing volume fraction are common in blocky rock systems, granular materials, masonry, masonry-like biological and nacreous bio-inspired heterogeneous composites. Recent studies on nacreous-like materials, having a microstructure similar to the running bond masonry, have shown interesting phononic properties of these materials, in particular the existence of band gaps (Chen and Wang, 2014, Yin et al, 2014 and the possibility to obtain devices for vibration reduction and isolation (Yin et al, 2015). Although these studies concerning the wave propagation have been carried out considering the material as a periodic continuum and by applying the finite element Bloch approach, approximate models of blocky materials can be useful to control and optimize the acoustic performance and to check results provided by detailed models.…”

Section: Introductionmentioning

confidence: 99%

Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces

Bacigalupo

Gambarotta

2017

Journal of the Mechanics and Physics of Solids

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Dispersive waves in two-dimensional blocky materials with periodic microstructure made up of equal rigid units having polygonal centro-symmetric shape with mass and gyroscopic inertia, connected each other through homogeneous linear interfaces, have been analysed. The acoustic behavior of the resulting discrete Lagrangian model has been obtained through a Floquet-Bloch approach. From the resulting eigenproblem derived by the Euler-Lagrange equations for harmonic wave propagation, two acoustic branches and an optical branch are obtained in the frequency spectrum. A micropolar continuum model to approximate the Lagrangian model has been derived based on a second-order Taylor expansion of the generalized macro-displacement field. The constitutive equations of the equivalent micropolar continuum have been obtained, with the peculiarity that the positive definiteness of the second-order symmetric tensor associated to the curvature vector is not guaranteed and depends both on the ratio between the local tangent and normal stiffness and on the block shape. The same results has been obtained through an extended Hamiltonian derivation of the equations of motion for the equivalent continuum that is related to the Hill-Mandel macro homogeneity condition. Moreover, it is shown that the hermitian matrix governing the eigenproblem of harmonic wave propagation in the micropolar model is exact up to the second order in the norm of the wave vector with respect to the same matrix from the discrete model. To appreciate the acoustic behavior of some relevant blocky materials and to understand the reliability and the validity limits of the micropolar continuum model, some blocky patterns have been analysed: rhombic and hexagonal assemblages and running bond masonry. From the results obtained in the examples, it appears that the obtained micropolar model turns out to be particularly accurate to describe dispersive functions for wavelengths greater than 3-4 times the characteristic dimension of the block. Finally, in consideration that the positive definiteness of the second order elastic tensor of the micropolar model is not guaranteed, the hyperbolicity of the equation of motion has been investigated by considering the Legendre-Hadamard ellipticity conditions requiring real values for the wave velocity.

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Section: Introductionmentioning

confidence: 99%

Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces

Bacigalupo

Gambarotta

2017

Journal of the Mechanics and Physics of Solids

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“…Using this metric, the authors have calculated a relative band gap width of 0.486 for the first band gap (301.95-495.79 Hz), thus indicating a significantly wide frequency region. These results were later used in (Yin et al, 2015) to design two-and three-dimensional nacreous PCs which can be tuned to manipulate the opening of band gaps, demonstrating a relative band gap width of for the 3D case, with a strong reduction in the transmission coefficient for both longitudinal and transverse excitation directions. The robustness of the obtained band gaps in these systems was also assessed in (Yin et al, 2016) against various types of defects.…”

Section: Local Resonance and Twodimensional Mmsmentioning

confidence: 99%

Bioinspired acoustic metamaterials: From natural designs to optimized structures

Poggetto

2023

Front. Mater.

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Artificial structures known as phononic crystals and acoustic metamaterials can be designed by spatially arranging one or more materials to obtain desired wave manipulation characteristics. The combination of various materials in complex composites is also a common feature of biological systems, which have been shaped in the course of evolution to achieve excellent properties in various requisites, both static and dynamic, thus suggesting that bioinspired concepts may present useful opportunities to design artificial systems with superior dynamic properties. In this work, a set of biological systems (nacre composites, spider webs, fractals, cochlear structures, and moth wings) and corresponding bioinspired metamaterials are presented, highlighting their main features and applications. Although the literature on some systems is vast (e.g., fractals), spanning multiple length scales for both structural and acoustic applications, much work remains to be explored concerning other biological structures (e.g., moth wings). Especially, bioinspired systems achieved by considering diverse objectives seem to be a promising yet relatively unexplored field of research.

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“…So the frequency bandgap characteristic is the most important property of periodic structures. Periodic structures can be efficiently used for vibration and noise control (Casadei et al, 2012; Han et al, 2015; Yin et al, 2015), and have attracted increasing attention in recent years. Wu et al (2015) studied the bandgap behaviors of three-dimensional (3D) kagome lattices by using the spectral element method.…”

Section: Introductionmentioning

confidence: 99%

Bandgap enhancement of periodic nonuniform metamaterial beams with inertial amplification mechanisms

Shoaib

Wang

et al. 2020

Journal of Vibration and Control

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The aim of this study was to obtain bandgaps that are much better, that is at lower frequencies and in broader frequency ranges. Novel nonuniform metamaterial beams with periodically variable cross sections and inertial amplification mechanisms are designed and investigated by numerical and experimental methods. Flexural vibration equations of the nonuniform metamaterial beams are established, and the enhanced bandgap and vibration reduction properties are achieved by combining Bragg scattering and the inertial amplification mechanisms. Numerical results of the bandgaps for the periodic elastic beams with and without the inertial amplification mechanisms are validated by comparing them with the results of vibration experiments. Effects of the amplification mass and angle on the bandgap properties are investigated. Larger amplification mass and angle lead to much enhanced bandgap performances of the nonuniform metamaterial beams in lower to higher frequency ranges.

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Design of nacreous composite material for vibration isolation based on band gap manipulation

Cited by 21 publications

References 33 publications

Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces

Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces

Bioinspired acoustic metamaterials: From natural designs to optimized structures

Bandgap enhancement of periodic nonuniform metamaterial beams with inertial amplification mechanisms

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