NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS

Year 2018, Volume: 19 Issue: 1, 83 - 94, 31.03.2018

Savaş Evran

https://doi.org/10.18038/aubtda.345541

Cited By: 1

Abstract

In this numerical study, natural frequency analysis of
layered functionally graded beams in the thickness direction under clamped-free
boundary condition was investigated using finite element program ANSYS. The
layer arrangements were performed according to Taguchi L9 (3*3) 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) analysis
is used. Significant layers and their percent contributions on the natural
frequency are 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 evaluated, maximum natural frequency for first mode were
found to be top and bottom layers with metal-rich and middle layer with
ceramic-rich. The most effective layers on the responses was obtained as Layer1
with 48.45%, Layer2 with 16.16% and Layer3 with 34.98%. Layer arrangements play
important role on the natural first mode frequency.

Keywords

Functionally Graded Materials, Natural Frequency, Beam, Finite Element Method

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