NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS

Authors : Savaş EVRAN

Pages : 83-94

Doi:10.18038/aubtda.345541

View : 7 | Download : 7

Publication Date : 2018-03-31

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(S/N); analysis is used. Significant layers and their percent contributions on the natural frequency are carried out using Analysis of Variance insert ignore into journalissuearticles values(ANOVA);. In addition, the effects of the boundary conditions insert ignore into journalissuearticles values(B.C.); such as clamped-free insert ignore into journalissuearticles values(C-F); and clamped-clamped insert ignore into journalissuearticles values(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