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Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions

Year 2019, Volume: 22 Issue: 4, 1069 - 1074, 01.12.2019
https://doi.org/10.2339/politeknik.498684

Abstract

In the present article, the critical buckling
temperature of axially layered functionally graded thin beams for the first
mode was studied under clamped-clamped boundary conditions. The beams were made
to be three layers using functionally graded materials with ceramic and metal
systems in the axial direction. Analyses were performed using finite element
and Taguchi methods. The beam configurations were designed based on Taguchi L9
orthogonal array in order to detect the maximum critical buckling
temperature and were analyzed using finite element software ANSYS. Analysis of
signal-to-noise ratio was utilized to determine the layers with optimum levels
and the influence of ceramic and metal materials in each layer. Analysis of
Variance at the 95 % confidence level was employed in order to select the most
significant layers and their percent contribution on response characteristic.
The optimum result of the critical buckling temperature was predicted based on
the 95 % confidence intervals of confirmation analysis and population

References

  • [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)

Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions

Year 2019, Volume: 22 Issue: 4, 1069 - 1074, 01.12.2019
https://doi.org/10.2339/politeknik.498684

Abstract

In the present article, the critical buckling
temperature of axially layered functionally graded thin beams for the first
mode was studied under clamped-clamped boundary conditions. The beams were made
to be three layers using functionally graded materials with ceramic and metal
systems in the axial direction. Analyses were performed using finite element
and Taguchi methods. The beam configurations were designed based on Taguchi L9
orthogonal array in order to detect the maximum critical buckling
temperature and were analyzed using finite element software ANSYS. Analysis of
signal-to-noise ratio was utilized to determine the layers with optimum levels
and the influence of ceramic and metal materials in each layer. Analysis of
Variance at the 95 % confidence level was employed in order to select the most
significant layers and their percent contribution on response characteristic.
The optimum result of the critical buckling temperature was predicted based on
the 95 % confidence intervals of confirmation analysis and population

References

  • [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)
There are 15 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Savaş Evran 0000-0002-7512-5997

Publication Date December 1, 2019
Submission Date December 17, 2018
Published in Issue Year 2019 Volume: 22 Issue: 4

Cite

APA Evran, S. (2019). Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions. Politeknik Dergisi, 22(4), 1069-1074. https://doi.org/10.2339/politeknik.498684
AMA Evran S. Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions. Politeknik Dergisi. December 2019;22(4):1069-1074. doi:10.2339/politeknik.498684
Chicago Evran, Savaş. “Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions”. Politeknik Dergisi 22, no. 4 (December 2019): 1069-74. https://doi.org/10.2339/politeknik.498684.
EndNote Evran S (December 1, 2019) Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions. Politeknik Dergisi 22 4 1069–1074.
IEEE S. Evran, “Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions”, Politeknik Dergisi, vol. 22, no. 4, pp. 1069–1074, 2019, doi: 10.2339/politeknik.498684.
ISNAD Evran, Savaş. “Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions”. Politeknik Dergisi 22/4 (December 2019), 1069-1074. https://doi.org/10.2339/politeknik.498684.
JAMA Evran S. Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions. Politeknik Dergisi. 2019;22:1069–1074.
MLA Evran, Savaş. “Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions”. Politeknik Dergisi, vol. 22, no. 4, 2019, pp. 1069-74, doi:10.2339/politeknik.498684.
Vancouver Evran S. Thermal Buckling Analysis of Axially Layered Functionally Graded Thin Beams under Clamped-Clamped Boundary Conditions. Politeknik Dergisi. 2019;22(4):1069-74.