Politeknik Dergisi 2147-9429 Gazi University 10.2339/politeknik.498684 Engineering Mühendislik Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions https://orcid.org/0000-0002-7512-5997 Evran Savaş CANAKKALE ONSEKIZ MART UNIVERSITY, ÇANAKKALE TECHNICAL SCIENCES VOCATIONAL SCHOOL, DEPARTMENT OF MECHANICAL AND METAL TECHNOLOGIES 12 01 2019 22 4 1069 1074 12 17 2018 02 27 2019 Copyright © 1998, Journal of Polytechnic 1998 Journal of Polytechnic

In the present article, the critical bucklingtemperature of axially layered functionally graded thin beams for the firstmode was studied under clamped-clamped boundary conditions. The beams were madeto be three layers using functionally graded materials with ceramic and metalsystems in the axial direction. Analyses were performed using finite elementand Taguchi methods. The beam configurations were designed based on Taguchi L9orthogonal array in order to detect the maximum critical bucklingtemperature and were analyzed using finite element software ANSYS. Analysis ofsignal-to-noise ratio was utilized to determine the layers with optimum levelsand the influence of ceramic and metal materials in each layer. Analysis ofVariance at the 95 % confidence level was employed in order to select the mostsignificant layers and their percent contribution on response characteristic.The optimum result of the critical buckling temperature was predicted based onthe 95 % confidence intervals of confirmation analysis and population.

In the present article, the critical bucklingtemperature of axially layered functionally graded thin beams for the firstmode was studied under clamped-clamped boundary conditions. The beams were madeto be three layers using functionally graded materials with ceramic and metalsystems in the axial direction. Analyses were performed using finite elementand Taguchi methods. The beam configurations were designed based on Taguchi L9orthogonal array in order to detect the maximum critical bucklingtemperature and were analyzed using finite element software ANSYS. Analysis ofsignal-to-noise ratio was utilized to determine the layers with optimum levelsand the influence of ceramic and metal materials in each layer. Analysis ofVariance at the 95 % confidence level was employed in order to select the mostsignificant layers and their percent contribution on response characteristic.The optimum result of the critical buckling temperature was predicted based onthe 95 % confidence intervals of confirmation analysis and population.

 Thermal buckling functionally graded materials finite element analysis beam Thermal buckling functionally graded materials finite element analysis beam [1] Fu Y., Chen Y., Zhang P., "Thermal buckling analysis of functionally graded beam with longitudinal crack". Meccanica, 48(5): 1227-1237, (2013). [2] Kiani Y., Eslami M.R., "Thermal buckling analysis of functionally graded material beams". International Journal of Mechanics and Materials in Design, 6(3): 229-238, (2010). [3] Sun Y., Li S.-R., Batra R.C., "Thermal buckling and post-buckling of FGM Timoshenko beams on nonlinear elastic foundation". Journal of Thermal Stresses, 39(1): 11-26, (2016). [4] Majumdar A., Das D., "A study on thermal buckling load of clamped functionally graded beams under linear and nonlinear thermal gradient across thickness". Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 232(9): 769-784, (2018). [5] Eslami M.R., Shahsiah R., Nikbin K.M., "Thermal Buckling of Functionally Graded Beams". Iranian Journal of Mechanical Engineering Transactions of the ISME, 10(2): 65-81, (2009). [6] Li S.-R., Zhang J.-H., Zhao Y.-G., "Thermal post-buckling of Functionally Graded Material Timoshenko beams". Applied Mathematics and Mechanics, 27(6): 803-810, (2006). [7] Wattanasakulpong N., Gangadhara Prusty B., Kelly D.W., "Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams". International Journal of Mechanical Sciences, 53(9): 734-743, (2011). [8] Ghannadpour S.A.M., Ovesy H.R., Nassirnia M., "Buckling analysis of functionally graded plates under thermal loadings using the finite strip method". Computers & Structures, 108-109: 93-99, (2012). [9] Javaheri R., Eslami M.R., "Thermal buckling of functionally graded plates". AIAA Journal, 40(1): 162-169, (2002). [10] Reddy J.N., "Analysis of functionally graded plates". International Journal for Numerical Methods in Engineering, 47(1‐3): 663-684, (2000). [11] Shen H.-S., "Functionally graded materials : nonlinear analysis of plates and shells", CRC Press, Boca Raton; New York, London, (2009). [12] Ross, P.J., "Taguchi Techniques for Quality Engineering", McGraw-Hill International Editions, 2nd Edition, New York, USA, (1996). [13] ANSYS Help, Version 13. [14] ANSYS Software (ANSYS Inc., Canonsburg, PA, USA) (www.ansys.com) [15] Minitab Software (Minitab Inc. State College, PA, USA) (www.minitab.com)