Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load

Şi̇mşek, Mesut; Kocatürk, Turgut; Akbaş, Şeref Doğuşcan

doi:10.1016/j.compstruct.2012.03.020

Cited by 124 publications

(23 citation statements)

References 53 publications

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“…Since material properties exhibit a smooth and continuous variation from one surface to another in FGMs, the main advantages of FGMs over the classical composites are that cracking and delamination phenomenon, stress concentrations and residual stresses can be avoided, and thus structural integrity can be maintained to a desirable level. Due to the wide applications of FGMs in engineering structures, static [1][2][3][4][5][6], buckling [7][8][9][10], free and forced [32][33][34][35][36] vibration behavior of FG structures have been examined extensively by several researchers. On the other hand, since the temperature field in advanced machines such as modern aerospace shuttles and craft develops in two or three directions, conventional FG materials may not be useful in the design of such structures [37].…”

Section: Introductionmentioning

confidence: 99%

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Şi̇mşek

2015

Composite Structures

214

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Section: Introductionmentioning

confidence: 99%

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Şi̇mşek

2015

Composite Structures

214

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“…They used the couple stress theory to account the effect of material length scale parameters, different material compositions, and shear deformations on the responses of the system. Dynamic analysis of an Euler-Bernoulli microbeam due to a moving harmonic load made of functionally material that graded along the axial direction was studied by Simsek et al [10]. They assumed that material properties such as elasticity modulus and mass density are varying along the axial direction.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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In this paper, free vibration, wave propagation, and bending analyses of a sandwich microbeam integrated with piezoelectric face-sheets resting on Pasternak foundation under electric potential are presented based on the strain gradient theory and Euler-Bernoulli beam theory. The material properties of core are assumed variable along the thickness direction and piezoelectric face-sheets are assumed homogeneous piezoelectric materials. A two-dimensional electric potential distribution along the axial and transverse direction is applied on the face-sheets of microbeam. Hamilton principal is used to derive governing differential equations of motion. Three behaviors of sandwich microbeam including free vibration, wave propagation, and bending analyses are studied in this paper. Some numerical results are presented to capture the effect of important parameters of the problem such as in-homogeneous index, applied voltage, parameters of foundation, and material length scales. The numerical results indicate that the effect of electric potential along the axial direction is very small rather than one along the transverse direction where initial voltage is applied. ARTICLE HISTORY

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“…The gradation in the properties of the materials reduces the stress concentration, improves the strength, and toughness of the structure in comparison with laminated composites. FGMs are used in very different applications, such as reactor vessels, fusion energy devices, aircrafts, space vehicles, defense industries, and other engineering structures . The concept of FGMs was first proposed in 1984 by Sendai Group .…”

Section: Introductionmentioning

confidence: 99%

“…It is expected that axially functionally graded (AFG) beams will be developed in the near future that they will allow a tailored fit of Young's modulus, shear's modulus, and density in axial direction to a special purpose, that is, with the static deflection not exceeding a specific level, or the dynamic load not being less than a pre‐specified level, or the natural frequency either exceeding or to being less than a pre‐specified frequency . Huang and Li used Fredholm integral equations to study free vibration of beams with variable flexural rigidity and mass density in axial direction.…”

Section: Introductionmentioning

confidence: 99%

Low velocity impact analysis of an axially functionally graded carbon nanotube reinforced cantilever beam

Ranjbar

Feli

2017

Polymer Composites

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In this article, a new analytical model is presented for low velocity impact on an axially functionally graded (AFG) carbon nanotube (CNT) reinforced cantilever beam. In order to estimate the material properties of the composite media, the refined rule of mixtures approach containing the efficiency parameters is employed. Based on the third order shear deformation beam theory, the beam deformation is formulated and the contact force is obtained with the aid of the nonlinear Hertz contact law. To derive the equations of motion, energy method with combining the polynomial Ritz method and generalized Lagrange equations are employed. To validate the accuracy of the analytical model, the convergence and comparison studies are carried out with those are reported in the literature in the special cases and simulating the process with ABAQUS software. Afterward, the influences of CNTs distribution, CNTs volume fraction, impact position, impactor initial velocity, and beam geometrical parameters on the contact force and beam deflection at the impact position are studied in detail. POLYM. COMPOS., 39:E969–E983, 2018. © 2017 Society of Plastics Engineers

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Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load

Cited by 124 publications

References 53 publications

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions

Transient analysis of a three-layer microbeam subjected to electric potential

Low velocity impact analysis of an axially functionally graded carbon nanotube reinforced cantilever beam

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