NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS

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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