Exact solution for thermal damping of functionally graded Timoshenko microbeams

Emami, Aram; Alibeigloo, A.

doi:10.1080/01495739.2015.1124631

Cited by 21 publications

(3 citation statements)

References 19 publications

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“…Jalaei et al [37] investigated the dynamic response of functionally graded nanobeams subjected to axial load and electromagnetic field showing that how this response is affected by the porosity of nanobeams. Thermoelastic response of a FG Timoshenko micro-beam was examined by Emami and Alibeigloo [38]. According to the power law rule, the mechanical and thermal features of the considered structure varied along its thickness.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Abouelregal¹,

Sedighi²

2022

Phys. Scr.

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Thermal behavior of a moving viscoelastic nanobeam under the influence of periodic thermal load is considered in the ‎framework of Kelvin-Voigt viscoelastic model with fractional operators. The equation of motion for axially moving ‎nanobeam is modeled by employing the Eringen's nonlocal elastic theory in conjunction with the couple stress ‎hypothesis and the conventional Euler-Bernoulli beam model. The thermoelastic features is then established by ‎employing the generalized dual phase-lag heat conduction model. After utilizing the Laplace transform, the ‎thermomechanical equations are coupled and solved. The current results are validated by presenting numerical ‎examples and comparing with previous solutions obtained by traditional theories in the literature. According to the ‎provided numerical simulations, the deflection of the axially moving nanobeam as well as its temperature change ‎reduce with the axial velocity and the influences of small scale and nonlocal parameters are also revealed and ‎discussed.‎

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Section: Introductionmentioning

confidence: 99%

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Abouelregal¹,

Sedighi²

2022

Phys. Scr.

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“…All the theories mentioned include nonclassical parameters. In recent years, based on these scale effects, a large number of studies have been carried out on the mechanical behaviors of functionally graded materials micro-beams, micro-plates and micro-shell structures, referred to Reddy [5], Ma [6], Li [7] and Emami [8]. Yang et al [9] proposed a MCST, in which the strain energy density only depends on the symmetric part of the strain tensor and curvature tensor.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro‐beams based on the modified couple stress theory

Teng

Wang

2022

Z Angew Math Mech

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Based on the modified couple stress theory (MCST), the free vibration and buckling characteristics of porous functionally graded materials micro-beams (P-FGMs and E-FGMs) are studied. Firstly, two types of pore distribution are considered for functionally graded materials (FGMs) micro-beams. The governing differential equations of free vibration and buckling of FGMs micro-beams are derived by Hamilton's principle and dimensionless. Then, the dimensionless governing differential equations and their boundary conditions are transformed by differential transformation method (DTM), then the equivalent algebraic characteristic equations with natural frequencies are obtained. Finally, the dimensionless fundamental frequency and critical buckling load of the free vibration of the porous FGMs micro-beam under four different boundary conditions of clamped-clamped (C-C), clamped-simply supported (C-S), simply supported-simply supported (S-S) and clamped-free (C-F) are calculated. The results are compared with the existing literature data, and the correctness is verified. The effects of porosity, scale parameter, stiffness ratio, axial load and gradient index on the dimensionless natural frequency and critical buckling load of FGMs micro-beams are discussed.

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“…[7][8][9]. Recently, by considering the continuous variation of the material properties in the thickness direction, Azizi et al [10], Emami and Alibeigloo [11], Li et al [12] investigated TED in the FGM micro beams with material properties varying through the thickness. More recently, Li et al [13] performed a theoretical analysis of TED in FGM micro circular plates by considering the temperature dependence of the material properties.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Thermoelastic Damping of Functionally Graded Material Micro Plate Based on the Mindlin Plate Theory

Xiong

Cao

2020

KEM

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In this paper, thermoelastic damping (TED) in a simply supported rectangular functionally graded material (FGM) micro plate with continuous variation of the material properties along the thickness direction is performed. The equations of motion and the heat conduction equation coupled with the thermal effects are derived based on the Mindlin plate theory and the one-way coupled heat conduction theory, respectively. The heat conduction equation with variable coefficients is solved by using the layer-wise homogenization approach. Analytical solution of TED is obtained by complex frequency method. Numerical results of TED are presented for the rectangular FGM micro plate made of ceramic-metal constituents with the power-law gradient profile. The effects of the shear deformation, the material gradient index, the plate thickness on the TED of the FGM micro plate are studied.

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Exact solution for thermal damping of functionally graded Timoshenko microbeams

Cited by 21 publications

References 19 publications

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro‐beams based on the modified couple stress theory

Analysis of Thermoelastic Damping of Functionally Graded Material Micro Plate Based on the Mindlin Plate Theory

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