Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core

Li, Y.S.; Liu, B.L.

doi:10.1016/j.apm.2022.04.019

Cited by 29 publications

(4 citation statements)

References 40 publications

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“…As the velocity of fluid flow (M ∞ ) grows from zero, both the aerodynamic damping coefficient and the aerodynamic pressure coefficient increase (equation (23)). On the one hand, the aerodynamic damping coefficient improves the stability of the shell, on the other hand, the aerodynamic pressure coefficient tends to destabilize the shell.…”

Section: Parametric Studymentioning

confidence: 99%

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Vibration characteristics of a cylindrical sandwich shell with an FG auxetic honeycomb core and nanocomposite face layers subjected to supersonic fluid flow

Amirabadi,

Darakhsh,

Sarafraz

et al. 2024

Noise & Vibration Worldwide

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In this paper, the flutter analysis is studied for a cylindrical sandwich shell subjected to external supersonic fluid flow. The sandwich shell consists of a re-entrant auxetic honeycomb (AH) core made of functionally graded materials (FGMs) which is covered with two polymeric face layers enriched with either carbon nanotubes (CNTs), graphene nanoplatelets (GNPs), or graphene oxide powders (GOPs). The volume fraction (percentage) of the ceramic phase in the functionally graded auxetic honeycomb (FGAH) core varies from zero at the inner surface to one at the outer one based on either power-law function (P-FGM), exponential function (E-FGM), or sigmoid function (S-FGM). It is assumed that the nanofillers are distributed uniformly inside the face layers. The first-order shear deformation theory (FSDT) and the piston theory are employed to provide the mathematical models of the shell and the aerodynamic pressure, respectively. The governing equations and boundary conditions are derived via Hamilton’s principle. An exact solution is performed in the circumferential direction via harmonic trigonometric functions (sine and cosine) and an approximate solution is performed in the axial direction utilizing the differential quadrature method (DQM). The natural frequencies and corresponding damping ratios are attained through the presented semi-analytical solution and the impacts of several factors on the natural frequencies and the critical aerodynamic pressure of the shell are examined. These factors the type of the FGM, the material index, and inclined angle of the cells in the FGAH core, the thickness of the FGAH core, the type and mass fraction of the nanofillers in the nanocomposite face layers, and boundary conditions.

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Section: Parametric Studymentioning

confidence: 99%

“…The free vibration and thermal buckling analyses of a viscoelastic doubly-curved sandwich shell with a tunable AH core and FGM face layers were investigated by Li and Liu. 23 They studied the influences of the geometric factors of the tunable AH core on the critical temperature rise and the natural frequencies of such a sandwich shell.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of a cylindrical sandwich shell with an FG auxetic honeycomb core and nanocomposite face layers subjected to supersonic fluid flow

Amirabadi,

Darakhsh,

Sarafraz

et al. 2024

Noise & Vibration Worldwide

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show abstract

“…Based on Donnell's shell theory and Galerkin's approach, Zarei et al [18] derived the dynamic equations for solving the for solving mode shapes and natural frequencies of stiffenerreinforced conical shells, designed a filament winding process to fabricate such specimens, and then verified the effectiveness of the model by corresponding experimental and finite element simulation methods. Li and Liu et al [19] investigated the free vibration and buckling behaviors of sandwich shells with an auxetic core and functionally graded (FG) skins using complex modulus and Navier solution approaches. Li et al [20] studied the mechanical and vibro-acoustic characteristics of cylindrical shells with adjustable Poisson's ratio honeycomb cores.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and experimental study of full-composite cylindrical shells with a foam-filled cavity lattice core

Dong,

Li,

et al. 2023

Nonlinear Dyn

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A new full-composite cylindrical shell (FCCS) with a foam-filled cavity lattice core (FFCLC) is developed and prepared, and a nonlinear dynamic model considering the amplitude-dependent property of composite materials is proposed. Compared to traditional linear dynamic models, the lower frequencies and higher resonant responses of structures subjected to base harmonic excitations can be obtained in the proposed nonlinear dynamic model. The nonlinear dynamic behaviors of FFCLC-FCCSs are investigated theoretically and experimentally, in which the fabrication and assembly procedures of FFCLC-FCCS specimens are first provided, and vibration measurements are performed on those specimens subjected to different excitation amplitudes, wherein the soft nonlinear vibration phenomenon characterized by the amplitude-dependent property is discovered. Subsequently, in the framework of the first-order shear deformation theory based on the layerwise principle, the mode superposition approach and the Rayleigh-Ritz method are utilized to obtain the nonlinear frequencies, mode shapes, and resonant responses of the structure subjected to different excitation amplitudes. Therein, the equivalent material parameters of the core part are determined using the modified cross and fill equivalent principle, and the nonlinear elastic modulus with amplitude-dependent fitting coefficients of the skins and core are assumed by the Jones-Nelson nonlinear theory, and those coefficients are determined by using an inverse parameter identification and fitting technique based on experimental test data. Then, the validation work on the developed model is performed by comparing the calculated results of the model with those of the tests. Finally, the impacts of several critical parameters on the nonlinear dynamic behaviors of the structure are estimated, with some suggestions in favor of reducing the nonlinear resonant responses of FFCLC-FCCSs being clarified.

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“…More information about the nonlinear dynamics of hyperelastic structures can be found in the recent review article [ 30 ]. Additionally, many studies have been carried out on analyzing viscoelastic structures [ 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. Li et al [ 46 ] presented a perturbation approach for the lateral vibration analysis of viscoelastic microstructures.…”

Section: Introductionmentioning

confidence: 99%

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.

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Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core

Cited by 29 publications

References 40 publications

Vibration characteristics of a cylindrical sandwich shell with an FG auxetic honeycomb core and nanocomposite face layers subjected to supersonic fluid flow

Vibration characteristics of a cylindrical sandwich shell with an FG auxetic honeycomb core and nanocomposite face layers subjected to supersonic fluid flow

Nonlinear dynamic modeling and experimental study of full-composite cylindrical shells with a foam-filled cavity lattice core

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

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