Free Vibration Analysis of Functionally Graded Beams

Anandrao, K. Sanjay; Gupta, Rekha; Ramachandran, P.; Rao, G. Venkateswara

doi:10.14429/dsj.62.1326

Cited by 32 publications

(11 citation statements)

References 6 publications

(1 reference statement)

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“…Demir and Oz [24] observed the free vibration characteristics of the viscoelasticsupported beam made of functionally graded materials. Anandrao et al [25] analyzed the free vibration behavior of the beams consisting of FGM under different classical boundary conditions. Kukla and Rychlewska [26] carried out the free vibration characteristics of the beams created using FGM in the axial direction.…”

Section: Introductionmentioning

confidence: 99%

Natural Frequency Analysis of Layered Functionally Graded Beams

Evran

2018

ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY a - Applied Sciences and Engineering

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In this numerical study, natural frequency analysis of the layered functionally graded beams in the thickness direction for clamped-clamped and clamped-free boundary conditions was investigated using finite element software ANSYS and the effects of the layers on natural frequency analysis for first mode were evaluated under clamped-free boundary condition. The layer arrangements of the beams were performed according to Taguchi L9 (3x3) orthogonal array. Mechanical properties of the layers made of different volume fractions of Ti-6Al-4V and ZrO2 materials was assumed as control factors. In order to determine the optimum layers and their levels, signal-to-noise (S/N) ratio analysis was used. Significant layers and their percent contributions on the first mode natural frequency were carried out using Analysis of Variance (ANOVA). In addition, the effects of the boundary conditions (B.C.) such as clamped-free (C-F) and clamped-clamped (C-C) and positions of the optimum layers were evaluated. According to results observed, maximum first mode natural frequency for C-F boundary condition using optimum layers were found using the FG beams with top and bottom layers with ceramic-rich and middle layer with metalrich. The most effective layers on the responses was obtained as L1 with 48.4523%, L2 with 16.1547% and L3 with 34.9839%. Layer arrangements for C-F boundary condition play important role on the natural first mode frequency.

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Section: Introductionmentioning

confidence: 99%

Natural Frequency Analysis of Layered Functionally Graded Beams

Evran

2018

ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY a - Applied Sciences and Engineering

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“…For example, Anandrao et al (2012) made free vibration analysis of functionally graded beams using the principle of virtual work to obtain a finite element system of equations. The variation of material properties across the thickness of the beam was governed by a power law distribution.…”

Section: Introductionmentioning

confidence: 99%

An approach for free vibration analysis of axially graded beams

Kukla¹,

Rychlewska²

2016

jtam

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In this study, the solution to the free vibration problem of axially graded beams with a non-uniform cross-section has been presented. The proposed approach relies on replacing functions characterizing functionally graded beams by piecewise exponential functions. The frequency equation has been derived for axially graded beams divided into an arbitrary number of subintervals. Numerical examples show the influence of the parameters of the functionally graded beams on the free vibration frequencies for different boundary conditions.

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“…The free vibrations of FG beams was analyzed by using various methods in papers [1][2][3][4][5]. The finite element method to the free vibration problem of a FG beams was applied by Alshorbagy et al in paper [1].…”

Section: Introductionmentioning

confidence: 99%

“…Hein and Feklistova [2] present an application of the Haar wavelet approach to free vibrations of FG beams with various boundary conditions and varying cross-sections. In paper [3] by Anandrao et al the finite element system of equations to free vibration analysis of the FG beams is derived. The variation of material properties across the thickness of the beam was governed by a power law distribution.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of axially functionally graded Euler-Bernoulli beams

Kukla

Rychlewska

2014

J. Appl. Math. Comput. Mech.

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Abstract. In this contribution, free vibration of axially functionally graded beams is analysed within the framework of the Euler-Bernoulli beam theory. The beams with uniaxial variation of the elasticity modulus and mass density are approximated by an equivalent beam with piecewise exponentially varying geometrical and material properties. A numerical example for a beam with pinned ends is presented.

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Free Vibration Analysis of Functionally Graded Beams

Cited by 32 publications

References 6 publications

Natural Frequency Analysis of Layered Functionally Graded Beams

Natural Frequency Analysis of Layered Functionally Graded Beams

An approach for free vibration analysis of axially graded beams

Free vibration of axially functionally graded Euler-Bernoulli beams

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