Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach

Khalili, S.M.R.; Mohammadi, Younes

doi:10.1016/j.euromechsol.2012.01.003

Cited by 57 publications

(22 citation statements)

References 18 publications

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“…Shen and Wang (2012) carried out small and large amplitude vibration analyses of functionally graded simply supported rectangular plate resting on Pasternak type elastic foundation in thermal environment using Voigt and MoriTanaka schemes employing higher order theory. Khalili and Mohammadi (2012) presented an improved higher order sandwich plate theory to analyze free vibration of sandwich plates M A N U S C R I P T…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory

Pandey

Pradyumna

2015

European Journal of Mechanics - A/Solids

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Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory

Pandey

Pradyumna

2015

European Journal of Mechanics - A/Solids

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“…Further, the free vibration frequencies of the FG sandwich structure evaluated computationally by Hadji et al [35] using a refined classical laminated plate theory including four-variables. Khalili and Mohammadi [36] reported thermal free vibration frequency responses of the FG sandwich plate structure. Natarajan and Manickam [37] investigated the static and vibration responses of the FG sandwich plate using the HSDT kinematics.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

2017

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The bending responses of nanotube-reinforced curved sandwich shell panel structure are studied under the influence of the thermomechanical loading. Further, the temperature dependent material properties of the sandwich structure are assumed to evaluate the exact responses. In addition, the face sheets of the sandwich construction are modeled using different grading pattern through the panel thickness. The final form of the equilibrium equation of the deflected sandwich structure obtained by minimising the total potential energy functional. Now, the equation is solved computationally via a suitable computer code (MATLAB) using the novel higher-order kinematics including the finite element method. The constancy and the accuracy of the current finite element solutions are verified by solving a different kind of numerical examples as same as the published examples. The effect of parameters associated with structural stiffness and the flexural behaviour of the nanotube-reinforced curved sandwich structural panel are examined together with the unlike temperature distributions (uniform and linear) and discussed the final conclusions in detail.

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“…Kim [29] investigated the free vibration characteristics of temperature-dependent functionally graded rectangular plates. Khalili and Mohammadi [30] coped with the free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties. Huang and Shen [31] studied the nonlinear vibration and dynamic response of functionally graded plates with temperature-dependent materials in thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

Fazzolari

2016

Journal of Thermal Stresses

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The present article copes with the analysis of free vibration of functionally graded plates with temperature-dependent materials in thermal environment. The functionally graded material (FGM) can be produced by continuously varying the constituents of multiphase materials in a predetermined pro le de ned by the variation of the volume fraction. In the proposed study, two di erent volume fractions are considered: (i) power-law function (P-FGM) and (ii) sigmoid function (S-FGM). As the di erence between the material properties of the FGM constituents used is relatively small, it is then possible to successfully apply the rule of mixture with no loss of accuracy with respect to the Mori-Tanaka method. The analysis is performed using advanced hierarchical higher order equivalent single-layer plate theories developed using the method of power series expansion of displacement components. The modal characteristics of the P-and S-FGM plates are investigated while subjected to a temperature gradient. More speci cally, thermal loadings are induced by the throughthe-thickness temperature distribution obtained as the solution of the onedimensional Fourier's heat conduction equation. The governing equations are derived in their strong form using the principle of the virtual displacements and are solved in an exact sense by using the Navier-type closed form solution. The e ect of length-to-thickness ratio, material temperature dependence, and volume fraction index on the natural frequencies is investigated. ARTICLE HISTORY

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Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach

Cited by 57 publications

References 18 publications

Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory

Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

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