Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity

Hosseini-Hashemi, Shahrokh; Nahas, Iman; Fakher, Mahmood; Nazemnezhad, Reza

doi:10.1007/s00707-013-1014-z

Cited by 77 publications

(27 citation statements)

References 52 publications

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“…It is observed that the piezoelectric nanostructures have different mechanical, electrical and also physical and chemical properties than their bulk. Among all nanostructures, investigating piezoelectric nanobeams' vibrational behavior is important according to their wide range of application such as nanosensors, actuators, generators, transistors and diodes [6]. Pan et al [7] reported the ZnO piezoelectric nanostructures among other piezoelectric nanomaterials such as ZnS, PZT, GaN and BaTiO 3 , and studying nanostructures has received attention from researchers such as those in [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…Further, the nonlocal and surface effects are two inevitable fields which studied simultaneously. For instance, Hosseini-Hashemi et al [6] studied the static and dynamic analyses with considering both surface and nonlocal effects on piezoelectric functionally graded nanobeams. In a similar work, they also studied the nonlinear free vibration of piezoelectric functionally graded nanobeams in the framework of the Euler-Bernoulli beam theory [23].…”

Section: Introductionmentioning

confidence: 99%

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Thermo-electro-mechanical vibration analysis of size-dependent nanobeam resting on elastic medium under axial preload in presence of surface effect

2016

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In the present manuscript, a nonclassical beam theory is developed to analyze free vibration of piezoelectric nanobeam by considering surface effects resting on Winkler-Pasternak elastic medium and thermal loading with axial preload. The nonclassical Eringen theory is utilized to incorporate the length-scale parameter to account for the small-scale effect, while the Gurtin-Murdoch model is employed to inject the surface effects including surface elasticity, surface stress and surface density. The governing equations are derived using Hamilton's principle in the framework of Euler-Bernoulli beam theory. The governing partial differential equations of motions of system are reduced to a set of algebraic equations with the help of differential transformation method as a semi-analytical-numerical. The mathematical derivations and numerical results are presented in detail for various boundary conditions. Some numerical examples are illustrated in order to investigate the effect of several parameters such as the nonlocal parameter, piezoelectric voltage, surface effects, temperature change, axial preload and elastic medium parameters. Moreover, it is also indicated that the numerical results have good agreement with previous studies.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermo-electro-mechanical vibration analysis of size-dependent nanobeam resting on elastic medium under axial preload in presence of surface effect

2016

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“…Currently nanocomposites are widely utilized in science and industry but because of their distinct interface which is accompanied with sudden variation in material properties they tend to lose their reliability [10] . To solve this phenomenon, there is a need to introduce a material, which has a smooth variation in its material properties.…”

Section: Introductionmentioning

confidence: 99%

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

Hosseini

Rahmani

2018

Smart Constr Res

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Abstract:The bending and vibration behavior of a curved FG nanobeam using the nonlocal Timoshenko beam theory is analyzed in this paper. It is assumed that the material properties vary through the radius direction. The governing equations were obtained using Hamilton principle based on the nonlocal Timoshenko model of curved beam. An analytical approach for a simply supported boundary condition is conducted to analyze the vibration and bending of curved FG nanobeam. In the both mentioned analysis, the effect of significant parameter such as opening angle, the power law index of FGM, nonlocal parameter, aspect ratio and mode number are studied. The accuracy of the solution is examined by comparing the results obtained with the analytical and numerical results published in the literatures.

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“…For this purpose, numerous investigations are conducted to propose theories and methods to study the mechanical properties of such structures. Nonlocal theory that was proposed by Eringen is one of the best and commonest approaches used by researchers' community [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] . Based on this theory the stress at a reference point is a function of the strain at all neighbor points in the body.…”

Section: Introductionmentioning

confidence: 99%

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

Hosseini

Rahmani

2018

Smart Constr Res

View full text Add to dashboard Cite

show abstract

Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity

Cited by 77 publications

References 52 publications

Thermo-electro-mechanical vibration analysis of size-dependent nanobeam resting on elastic medium under axial preload in presence of surface effect

Thermo-electro-mechanical vibration analysis of size-dependent nanobeam resting on elastic medium under axial preload in presence of surface effect

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

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