Free vibration of two-directional functionally graded beams

Wang, Zhihai; Wang, Xiaohong; Xu, Genqi; Cheng, Su; Zeng, Tao

doi:10.1016/j.compstruct.2015.09.013

Cited by 133 publications

(36 citation statements)

References 36 publications

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“…Increasing value of power law index ultimately increases the natural frequency of FG cantilever beam, whereas it decreases the natural frequency of a simple beam. Moreover, above critical frequency, sudden change in natural frequency of two directional FGM was found (Wang et al [195]). Timoshenko beam theory causes large number of natural frequencies in beams due to shear effect as compared to Euler-Bernoulli beam theory.…”

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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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%

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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“…Chunhua and Wang [23] provided and accurate free vibration analysis of Euler-type FG beams by using the weakform quadrature element method. Wang et al [24] analysed the free vibration behaviour of two-directional FG beams. Lü et al [25] proposed semi-analytical elasticity solutions for bi-directional functionally graded beams.…”

Section: Introductionmentioning

confidence: 99%

Quasi-3D beam models for the computation of eigenfrequencies of functionally graded beams with arbitrary boundary conditions

Fazzolari

2016

Composite Structures

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“…Lezgy-Nazargah [23] employed the NURBS isogeometric finite element method to examine the thermal stress in exponential 2D-FGM beams subjected to different types of non-uniform temperature field. The free vibration of a power-law 2D-FGM beam was investigated by Wang et al [24] by an analytical method. The authors showed that a critical frequency, which depends on the material indexes, is existed and the natural frequencies have an abrupt jump when across the critical frequency.…”

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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Free vibration of two-directional functionally graded beams

Cited by 133 publications

References 36 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

Quasi-3D beam models for the computation of eigenfrequencies of functionally graded beams with arbitrary boundary conditions

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

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