Analysis of Angle of Twist of Axially Layered Functionally Graded Circular Hollow Shafts

819 190


In this study, the angle of twist of axially layered functionally graded circular hollow shafts subjected to a twisting torque at the free end was analyzed under clamped-free boundary conditions using finite element software ANSYS. The hollow shafts were made using three layers including various mixtures of ceramic and metal materials. Layer locations on the shafts were performed using L9 orthogonal array based on Taguchi Method. The layer combination with optimum levels was obtained using analysis of the signal-to-noise (S/N) ratio. Significant layers and their percent effects on the angles of twist were analyzed using analysis of variance (ANOVA). According to results obtained, the increase of the ceramic material in layers leads to the decrease of the angle of twist of the beams. The most meaningful layers on response were obtained as first layer with 52.83 % effect ratio, second layer with 29.41% effect ratio, and third layer with 17.76 % effect ratio.

Anahtar kelimeler

Angle of twist; Functionally graded materials (FGMs); Circular hollow shaft; Finite Element Method

Tam metin:



[1] Shen, H.-S., 2009. Functionally graded materials : nonlinear analysis of plates and shells, CRC Press, Boca Raton; New York; London.

[2] Birman, V., Byrd, L.W., 2007. Modeling and Analysis of Functionally Graded Materials and Structures, Applied Mechanics Reviews, 60(2007), 195-216.

[3] Koizumi, M., 1997. FGM activities in Japan, Composites Part B: Engineering, 28(1997), 1-4.

[4] Batra, R.C., 2006. Torsion of a Functionally Graded Cylinder, AIAA Journal, 44(2006), 1363-1365.

[5] Arghavan, S., Hematiyan, M.R., 2009. Torsion of functionally graded hollow tubes, European Journal of Mechanics - A/Solids, 28(2009), 551-559.

[6] Horgan, C.O., Chan, A.M., 1998. Torsin of Functionally Graded Isotropic Linearly Elastic Bars, Journal of Elasticity, 52(1998), 181-199.

[7] Rahaeifard, M., 2015. Size-dependent torsion of functionally graded bars, Composites Part B: Engineering, 82(2015), 205-211.

[8] Uymaz, B., Aydogdu, M., 2007. Three-Dimensional Vibration Analyses of Functionally Graded Plates under Various Boundary Conditions, Journal of Reinforced Plastics and Composites, 26(2007), 1847-1863.

[9] Ferreira, A.J.M., 2009. MATLAB codes for finite element analysis solids and structures, [New York, NY]; Springer.

[10] Ross, P.J., 1996. Taguchi Techniques for Quality Engineering; McGraw-Hill International Editions, 2nd Edition, New York, USA.

[11] ANSYS Help, Version 13.

[12] ANSYS Software (ANSYS Inc., Canonsburg, PA, USA) (

[13] Minitab Software (Minitab Inc. State College, PA, USA) (