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

Pandey, Shashank; Pradyumna, S.

doi:10.1016/j.euromechsol.2014.12.001

Cited by 100 publications

(30 citation statements)

References 33 publications

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“…As an example, a core made from FGMs which are used in the sandwich structures, is potentially useful in many applications [22]. Following this study, were proposed several studies about the behavior of the sandwich structural elements containing an FG core, especially related to vibration and buckling of sandwich plates [23][24][25][26][27][28][29][30][31][32]. Modern technology has made it possible to provide new possibilities for the study of behaviors of sandwich shells with the FG core and eventually led to the emergence of new publications on these subjects.…”

Section: Introductionmentioning

confidence: 99%

Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

Sofiyev

Kuruoğlu

2015

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

Sofiyev

Kuruoğlu

2015

International Journal of Mechanical Sciences

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“…Huang and Shen [31] studied the nonlinear vibration and dynamic response of functionally graded plates with temperature-dependent materials in thermal environment. Pandey and Pradyumna [32] proposed a layerwise nite element formulation for dynamic analysis of FGM sandwich plates having temperature-dependent material properties. Malekzadeh [33] studied two-dimensional in-plane free vibrations of functionally graded circular arches with temperature-dependent properties.…”

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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“…Hosseini-Hashemi et al [42] have presented an analytical closed-form solution in explicit forms to investigate small-scale effects on the buckling and the transverse vibration behavior of Levy-type rectangular nanoplates based on Reddy's nonlocal third-order shear deformation plate theory. Pandey and Pradyumna [43] have presented a layerwise finite element formulation for the first time for dynamic analysis of two types of functionally graded material (FGM) sandwich plates with nonlinear temperature variation along the thickness and the FGM having temperature-dependent material properties. Chakraverty and Pradhan [44] have analyzed a free vibration of exponential functionally graded rectangular plates in thermal environment with general boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

Khorshidi

Bakhsheshy

2015

Acta Mech

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This study investigates the vibration analysis of a functionally graded (FG) rectangular plate partially in contact with a bounded fluid. The material properties are assumed to vary continuously through the thickness direction according to a simple power-law distribution in terms of volume fraction of material constituents. Wet dynamic transverse displacements of the plate are approximated by a set of admissible trial functions, which are required to satisfy the clamped and simply supported geometric boundary conditions. The fluid velocity potential satisfying fluid boundary conditions is derived, and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid. Natural frequencies of the plate coupled with sloshing fluid modes are calculated using the Rayleigh-Ritz method based on minimizing the Rayleigh quotient. The proposed analytical method is validated with available data in the literature. In the numerical results, the effects of boundary conditions, aspect ratios, thickness ratios, gradient index, material properties of the FG plate, depth of the fluid and dimensions of the tank on the wet natural frequencies are investigated.

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

Cited by 100 publications

References 33 publications

Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

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

Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

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