Analytical layerwise free vibration analysis of circular/annular composite sandwich plates with auxetic cores

Shariyat, M.

doi:10.1007/s10999-015-9321-2

Cited by 23 publications

(4 citation statements)

References 36 publications

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“…The two face layers were assumed to be isotropic and the thick core layer was an aluminum honeycomb. Alipour and Shariyat [18] examined the free vibration analysis of circular/annular composite sandwich plates with auxetic cores. Zhou and Stronge [19] presented axisymmetric and non-axisymmetric modes of circular sandwich panels.…”

Section: Introductionmentioning

confidence: 99%

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Demir

2022

Symmetry

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The purpose of this paper is to study the axisymmetric vibrations of circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, the equations of motion and related boundary conditions are derived using the Hamilton’s principle for the free vibrations. Then, the governing equations obtained for various boundary conditions are solved and parametric studies are carried out to examine the vibration behavior of circular sandwich plates with a viscoelastic core. The differential transform method (DTM), a well-known semi-analytical–numerical solution technique, is utilized for the eigenvalue analysis. In addition, the finite element (FE) solution obtained with the commercial code ANSYS is added to this comparison. The effect of face and core layer thicknesses and the location of the core layer and core material on the dynamic and damping characteristics of circular sandwich plates with a fractional derivative viscoelastic core is studied in detail.

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Section: Introductionmentioning

confidence: 99%

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Demir

2022

Symmetry

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“…Hence by distributing the energy to each of the local resonators, the vibration can be damped for a wide specific frequency range, and that energy can also be harvested. Based on interesting physical properties of the metamaterials, it can be characterized as negative mass (Srivastava 2015;Pope and Laalej 2014;Yao et al 2008;Huang et al 2009;Pope et al 2012), negative stiffness (Huang et al 2016;Huang and Sun 2011;Goldsberry and Haberman 2018;Huang and Sun 2012;Tan et al 2019;, negative Poisson's ratio (Meena et al 2019;Chen et al 2018;Alipour and Shariyat 2017;Chen et al 2017;Friis et al 1988;Dirrenberger et al 2013). Figure 1 portrays a conceptual illustration of the piezo-embedded negative mass metamaterial.…”

Section: Introductionmentioning

confidence: 99%

Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

Dwivedi

Banerjee

Adhikari

et al. 2021

Int J Mech Mater Des

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Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young’s modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodicity of mechanical unit cells, which exhibit local resonance. That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. This exploration can be considered as a step towards the active elastic mechanical metamaterials design.

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“…Mohammadimehr et al [13] analyzed bending, buckling and vibration behavior of micro composite circular-annular sandwich plate including reinforced carbon nanotubes face sheets under hydro-thermo-magneto-mechanical loadings. Free vibration of circular and annular sandwich plates with auxetic (negative Poisson’s ratio) cores and isotropic/orthotropic face sheets for different combinations of the boundary conditions is investigated by Alipour and Shariyat [14]. They derived the governing equations of motion based on Hamilton’s principle and solved using a Taylor transform whose center is located at the outer radius of the plate and considered the effects of the auxeticity for sandwich plates with isotropic and orthotropic face sheets.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of the double-bonded annular nanocomposite sandwich microplate on viscoelastic foundation

Emdadi

Mohammadimehr

2021

Jnl of Sandwich Structures & Materials

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In this research, the dynamic stability of the double-bonded annular sandwich microplate is investigated. Face sheets are made from composite materials reinforced by carbon nanotubes in which mechanical properties are obtained by the extended rule of the mixture. Also, the core layer is made from a honeycomb aluminum which is defined by the geometric parameters of the unit cell and mechanical properties of the virgin core material. The equations of motion are derived from Hamilton’s principle and solved by the differential quadrature method (DQM) based on higher order shear deformation theory (HSDT) and modified couple stress theory (MCST). The results are compared with the obtained results by the other literature to examine the accuracy of the present formulation. The dynamic stability of the double-bonded annular sandwich microplate with hexagonal honeycomb core including variations of core thickness, inclined angle, and aspect ratio of the unit cell are discussed. Also, the effects of motion direction of the structure, viscoelastic foundation, material length scale parameter, volume fractions of CNTs in face sheets, and the core thickness to total thickness ratio on dynamic instability region are presented.

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Analytical layerwise free vibration analysis of circular/annular composite sandwich plates with auxetic cores

Cited by 23 publications

References 36 publications

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

Dynamic stability of the double-bonded annular nanocomposite sandwich microplate on viscoelastic foundation

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