Free vibration responses of temperature dependent functionally graded curved panels under thermal environment

Kar, Vishesh Ranjan; Panda, Sidhartha

doi:10.1590/1679-78251691

Cited by 40 publications

(8 citation statements)

References 28 publications

(25 reference statements)

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“…Numerical results validated that material volume fraction index, geometrical parameters, and temperature change have an adverse effect on the natural frequencies of the given panel. Vishesh and Subrata [31] investigated free vibration responses of shear deformable FG single/doubly curved panels under a uniform, linear, and nonlinear temperature fields. The micromechanical material model of FGM is computed using the Voigt model in conjunction with the power-law distribution to achieve continuous gradation.…”

Section: Literature Surveymentioning

confidence: 99%

Functionally Graded Panels: A Review

B¹

2020

IJMTST

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Functionally gradedmaterials (FGMs) are not homogeneous materials. It consists of different(two or more) materials, engineered to have a continuously varying spatial composition profile. FGM is the one that can solve practical problems arising from the production and application of a new type of composite material. This paper describes the overview of FGM basic concepts, classification, properties, and its modeling which may focus on the static and dynamic analysis of functionally graded panels. The effective material properties of functionally graded materials for the panel are graded in the thickness direction from the bottom surface to the top surface according to the power-law distribution of volume fractions of the constituents. The use of structures like beams, plates, and shells, which are made from functionally graded (FG) materials, is increasing because of the smooth variation of material properties along with preferred directions. This variation gives continuous stress distribution in the FG structures. Therefore, an FGM can be effectively used in avoiding corrosion, fatigue, fracture, and stress corrosion cracking. The paper covers the literature study on static, buckling and free vibration, thermo-mechanical analysis of FGM panel. From this literature study it is found that, analysis of these problems is made using the constitutive relations and governing equations associated with the classical laminated theory structural model, the FSDT model, the HSDT model,Reissner and Sander theory,differential quadrature, finite element method and closed form solutions. Results are availableon different geometrical dimensional ratios variations, power-law index value n variationsand simply supported,clamped, free edges boundary conditionswith its combinations for FG panels. Lesser literatures are available for different edge boundary conditions such as SCSC, CSCS,SSSC, SFSF, SSSF, SCSF on curved panelfor free vibration, buckling and thermo-structural analysis.

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Section: Literature Surveymentioning

confidence: 99%

Functionally Graded Panels: A Review

B¹

2020

IJMTST

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“…Nonlinear stability of thin and thick CPs made of ceramic-metal functionally graded (FG) material and subjected to mechanical and thermal loading conditions has been investigated in works 18,19 basing on an analytical approach. Based on finite element approach, Kar and Panda [20][21][22] examined the free vibration response, compressive postbuckling, and nonlinear thermomechanical behaviors of FG curved shell panels. Thermal buckling and postbuckling behaviors of shear deformable FG curved shell panels under different temperature conditions have been dealt with by Kar et al 23,24 making use of a numerical approach.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability of CNT-reinforced composite cylindrical panels with elastically restrained straight edges under combined thermomechanical loading conditions

Trang

Tung

2018

Journal of Thermoplastic Composite Materials

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This article investigates the nonlinear stability of composite cylindrical panels (CPs) reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to combined thermomechanical loading conditions. CNTs are embedded into matrix phase through uniform distribution or functionally graded distribution. Material properties of constituents are assumed to be temperature dependent and effective elastic moduli of carbon nanotube–reinforced composite are estimated by the extended rule of mixture. Nonlinear governing equations of geometrically imperfect panels are based on first-order shear deformation theory accounting for elastic foundations and tangential constraint of straight edges. Analytical solutions are assumed to satisfy simply supported boundary conditions and closed-form expressions relating load and deflection are derived through Galerkin method. Numerical examples show the effects of preexisting nondestabilizing loads, distribution patterns, panel curvature, in-plane condition of unloaded edges, thermal environments, initial imperfection, and elastic foundations on the nonlinear stability of nanocomposite CPs under combined loading conditions.

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“…Faroughi et al studied nonlocal elasticity in plates based on novel trial functions. Kar and Panda investigated free vibration responses of temperature‐dependent functionally graded curved panels under thermal environment. Kar and Panda developed free vibration responses of temperature‐dependent functionally graded curved panels under thermal environment.…”

Section: Introductionmentioning

confidence: 99%

“…Kar and Panda investigated free vibration responses of temperature‐dependent functionally graded curved panels under thermal environment. Kar and Panda developed free vibration responses of temperature‐dependent functionally graded curved panels under thermal environment. Ma et al analyzed a microstructure‐dependent Timoshenko beam model based on a modified couple stress theory.…”

Section: Introductionmentioning

confidence: 99%

The effect of nonlinear temperature distribution on the vibrational behavior of a size‐dependent FG laminated rectangular plates undergoing prescribed overall motion

Fallah

Khorshidi

2018

Polymer Composites

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In this article, the effect of the nonlinear temperature distribution on the free vibration analysis of size‐dependent rotating laminated rectangular FG micro‐/nanoplates are developed based on modified couple stress theory and exponential shear deformation theory. The modified couple stress theory model contains one length scale parameter to consider the small size effect. In exponential shear deformation theory, exponential functions are used in terms of thickness coordinate to include the effect of transverse shear deformation and rotary inertia. The temperature is assumed to be constant in the plane of the plate and to vary in the thickness direction only. Material properties are assumed to be temperature dependent, and vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The Eigen frequency equation is obtained by the use of Rayleigh–Ritz method. Displacement components are expressed in simple algebraic polynomial forms which can handle any sets of boundary conditions. The effect of material compositions, rotation speed, hub ratio, length‐to‐thickness ratio, aspect ratio, material length scale parameter, number of layered, and temperature filed on the vibration characteristics is examined. The present theoretical results are verified by comparing with those in literature. POLYM. COMPOS., 40:766–778, 2019. © 2018 Society of Plastics Engineers

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Free vibration responses of temperature dependent functionally graded curved panels under thermal environment

Cited by 40 publications

References 28 publications

Functionally Graded Panels: A Review

Functionally Graded Panels: A Review

Nonlinear stability of CNT-reinforced composite cylindrical panels with elastically restrained straight edges under combined thermomechanical loading conditions

The effect of nonlinear temperature distribution on the vibrational behavior of a size‐dependent FG laminated rectangular plates undergoing prescribed overall motion

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