Free vibration analysis of metal foam core sandwich beams on elastic foundation using Chebyshev collocation method

Wang, Yan Qing; Zhao, Haoxiang

doi:10.1007/s00419-019-01579-0

Cited by 63 publications

(11 citation statements)

References 65 publications

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“…For instance, Garg, et al [6,7] analyzed the static and dynamic behavior of a sandwich plate and a sandwich beam composed of a functionally graded (FG) metal foam core and two face sheets by taking into account three different porosity patterns. In another attempt, Wang and Zhao [8] employed Chebyshev collocation technique in order to examine the free vibration responses of a sandwich beam containing three various types of metal foam core. Yaghoobi and Taheri [9] performed buckling analysis on a sandwich plate with a GPL-reinforced metal foam core and two metal faces surrounding this core with the aid of higher-order shear deformation theory and Navier's solution method.…”

Section: Introductionmentioning

confidence: 99%

Investigating forced vibration of an intelligent sandwich plate consisting of a metal foam core, stiff nanocomposite layers and active piezomagnetic face-sheets exposed to electro-magnetic potentials

Mirtabaei,

Farajollahi,

Pourseifi

2024

Phys. Scr.

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The main purpose of the present article is to present a forced vibrational analysis for a new intelligent sandwich plate made up of various layers. The proposed intelligent structure contains a porous metal foam core, super stiff double-FG nanocomposite layers, and piezomagnetic actuators which will be actuated magnetically and electrically. For the metal foam core of the structure, three kinds of porosity patterns are considered and, in the double-FG nanocomposite layers, Carbon Nanotubes (CNTS) are dispersed through various FG patterns in an FG metal-ceramic matrix. The power-law function is used to form the FG metal-ceramic matrix of the nanocomposite layers. Then, first-order shear deformation theory (FSDT) is utilized to derive the governing equations, and the resonance and natural frequencies of the proposed sandwich structure with simply-supported boundary conditions are obtained employing Navier’s analytical solution method. Finally, the effects of various parameters such as the CNTs’ volume fraction, magnetic and electric potentials, porosity patterns, core-to-nanocomposite layers thickness ratio, power-law index, etc. on the resonance behavior of the structure will be discussed based on tabular and graphical results. The results demonstrate that the occurrence of the resonance phenomenon in such a multi-layered structure remarkably depends on the mentioned parameters and can be somehow controlled by applying magnetic and electric potentials to the piezomagnetic actuators connected to the top and bottom of the structure. 

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Section: Introductionmentioning

confidence: 99%

Investigating forced vibration of an intelligent sandwich plate consisting of a metal foam core, stiff nanocomposite layers and active piezomagnetic face-sheets exposed to electro-magnetic potentials

Mirtabaei,

Farajollahi,

Pourseifi

2024

Phys. Scr.

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“…The Chebyshev collocation approach was adopted by Tossapanon and Wattanasakulpong 19 to present the significance of the stiffness of elastic support on natural frequencies and buckling loads of functionally graded sandwich beams. Using this method, Wang and Zhao 20 determined free oscillation characteristics of metal foam sandwich beams resting on the Winkler-Pasternak spring. Mouhat and Abdellatif 21 employed a nonlinear finite element model to study the dynamic buckling of panels stiffened along the longitudinal direction under static and dynamic compressive loads.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability analysis of timoshenko FG sandwich nanobeams subjected to parametric excitation

Zanjanchi Nikoo,

Lezgi,

Sabouri Ghomi

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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According to the nonlocal theory, the dynamic instability and vibration of functionally graded (FG) porous sandwich nanobeams resting on a visco-elastic foundation under axial harmonic load are studied. In this paper the Timoshenko and nonlocal continuum theory are employed to take shear deformation, rotational bending and small-scale effects into account. The governing equations of motion are extracted using the nonlinear Von-Karman, and Hamilton approaches. Then, to turn the partial differential equations (PDEs) into ordinary differential equations (ODEs) in the case of equations of motion, the method of Galerkin is employed, followed by the use of the multiple time scale method to solve the resulting equations. According to the results of this study, it can be claimed that the porosity ratio is more effective than porosity distribution and nonlocal parameters on the amplitude response and dynamic instability regions. Moreover, to examine thermal increments, foundation characteristics, slenderness, and thickness ratios, the bifurcation diagrams are drawn and discussed. It is found that foundation and geometric characteristics are of the highest significance in the nonlinear response of the Timoshenko nanobeams. The main intention of this study is to present a holistic idea about the porous materials used in sandwich structures which can be used in many composite structures in aircraft and automobiles.

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“…Ton et al 26 employed Chebyshev polynomials to determine vibration responses of FG curved panels (flat and curved) with GPLs reinforcement using a novel 4-nodded quadrilateral element (i.e., SQ4P). Moreover, several remarkable studies also performed by Wang et al [27][28][29][30][31][32] and Amirabadi et al [33][34][35] to accomplish the wave propagation, free and forced vibration analyses of various GPLs reinforced FG-porous plates and shells.…”

Section: Introductionmentioning

confidence: 99%

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The present study explores the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions. The material uncertainty is considered in the parameters associated with constituents that is, metal and graphene nanoplatelets (GPLs) individually and simultaneously. The metal matrix is reinforced with ultra-lightweight and high stiffness carbonaceous nanofiller, that is, GPLs. Halpin-Tsai micromechanics model is adopted to estimate effective Young’s modulus of the metal-GPLs composite whereas effective mass density and Poisson’s ratio are calculated using the Voigt model. The micro-structural gradation by creating pores is accomplished along the thickness direction of the panel employing certain continuous functions. These functions describe symmetric and asymmetric porosity distributions and associated patterns of GPLs. The equation of motion is developed using Euler-Lagrange’s equation which is based on C0-continuous structural kinematics with 7 degrees of freedom. Finite element modeling in conjunction with the first-order perturbation technique has been applied to quantify the stochastic natural frequency in terms of the mean and standard deviation of the natural frequency. Various results have been examined to highlight the influence of parameters especially related to porosity, and graphene nanoplatelets on the stochastic natural frequency of FG-GPLs porous panel constrained with conventional and unconventional boundary conditions.

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Free vibration analysis of metal foam core sandwich beams on elastic foundation using Chebyshev collocation method

Cited by 63 publications

References 65 publications

Investigating forced vibration of an intelligent sandwich plate consisting of a metal foam core, stiff nanocomposite layers and active piezomagnetic face-sheets exposed to electro-magnetic potentials

Investigating forced vibration of an intelligent sandwich plate consisting of a metal foam core, stiff nanocomposite layers and active piezomagnetic face-sheets exposed to electro-magnetic potentials

Dynamic instability analysis of timoshenko FG sandwich nanobeams subjected to parametric excitation

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

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