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

Şi̇mşek, Mesut

doi:10.1016/j.compstruct.2015.08.021

Cited by 222 publications

(43 citation statements)

References 60 publications

(45 reference statements)

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“…Shahba et al [168] analyzed the free vibration of FGM tapered Timoshenko beam. Results show that natural frequency decreases with taper ratio [161] and attached mass to beams [161,169,170]. Using the Ritz method, free vibration of FGM spatial beam was examined by Yousefi and Rastgoo [171].…”

Section: Fgm Beamsmentioning

confidence: 99%

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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Beamsmentioning

confidence: 99%

“…Results were found to be in good agreement with those in the existing literature. Şimşek [170] studied free vibration of bi-directional FGM Timoshenko beam using Timoshenko beam theory. It was reported that in order to meet the desired requirement of designing BDFGM, material gradient index and properties need to be considered.…”

Section: Fgm Beamsmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…There have been fewer studies on FGM beams with material properties graded in both directions, and even fewer for curved beams. Qian and Batra [16] [18]. Karamanli [19] has analyzed free vibration of bi-directional FGM straight beams using a third order shear deformation theory in which material properties vary exponentially along the beam thickness and length.…”

Section: List Of Tablesmentioning

confidence: 99%

Free vibration of bi-directional functionally graded material circular beams using shear deformation theory employing logarithmic function of radius

Fariborz

Batra

2019

Composite Structures

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Curved beams such as arches find ubiquitous applications in civil, mechanical and aerospace engineering, e.g., stiffened floors, fuselage, railway compartments, and wind turbine blades. The analysis of free vibrations of curved structures plays a critical role in their design to avoid transient loads with dominant frequencies close to their natural frequencies. One way to increase their applications and possibly make them lighter without sacrificing strength is to comprise them of Functionally Graded Materials (FGMs) that are composites with continuously varying material properties in one or more directions. In this thesis, we study free vibrations of FGM circular beams by using a logarithmic shear deformation theory that incorporates through-the-thickness logarithmic variation of the circumferential displacement, does not require a shear correction factor, and has a parabolic through-the-thickness distribution of the shear strain. The radial displacement of a point is assumed to depend only upon its CONTENTS

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“…A semi-analytical elasticity solution was derived by the authors to show the effects of material distribution on the deflection and axial stress of the beam. Also assuming an exponential-law variation for the material properties in the beam length and thickness, Simşek [21] studied dynamic behavior of a 2D-FGM beam due to a moving load. The numerical result obtained by the author reveals that the 2D-FGM beam can be tailored to meet the design goals of optimizing the dynamic response.…”

Section: Introductionmentioning

confidence: 99%

Elastostatic Bending of a 2d-FGSW Beam Under Nonuniform Distributed Loads

Chính

Inh

Anh³

2019

JST

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Elastostatic bending behavior of a two-directional functionally graded sandwich (2D-FGSW) beam under various types of nonuniform distributed load is studied. Based on a 3D-quasi shear deformation theory, a finite element model is derived and employed in the study. Elastostatic response of the beam is computed for the beam with different boundary conditions and aspect ratio. The effects of the material distribution and the loading type on the deflections and stresses distribution are investigated and highlighted. The influence of the aspect ratio on the behavior of the beam is also examined and discussed.

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

Cited by 222 publications

References 60 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Free vibration of bi-directional functionally graded material circular beams using shear deformation theory employing logarithmic function of radius

Elastostatic Bending of a 2d-FGSW Beam Under Nonuniform Distributed Loads

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