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Journals / ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE / 2018 / Cilt: 6 - Sayı: 2

Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory

ARMAĞAN FATİH KARAMANLI
Pages
164–178
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The effects of the different gradient indexes, various aspect ratios and boundary conditions on the buckling responses of the two directional functionally graded beams are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is dedicated to present a Ritz-type analytical solution for buckling behavior of two directional functionally graded beams (2D-FGBs) subjected to various sets of boundary conditions by employing a third order shear deformation theory.
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Key Findings & Data:The material properties of the beam vary in both axial and thickness directions according to the power-law distribution.
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Conclusion & Impact:The effects of the different gradient indexes, various aspect ratios and boundary conditions on the buckling responses of the two directional functionally graded beams are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

This paper is dedicated to present a Ritz-type analytical solution for buckling behavior of two directional functionally graded beams (2D-FGBs) subjected to various sets of boundary conditions by employing a third order shear deformation theory. The material properties of the beam vary in both axial and thickness directions according to the power-law distribution. The axial, transverse deflections and rotation of the cross sections are expressed in polynomial forms to obtain the buckling load. The auixiliary functions are added to displacement functions to satisfy the boundary conditions. Simply supported – Simply supported (SS), Clamped-Simply supported (CS), Clamped – clamped (CC) and Clamped-free (CF) boundary conditions are considered. Computed results are compared with earlier works for the verification and convergence studies. The effects of the different gradient indexes, various aspect ratios and boundary conditions on the buckling responses of the two directional functionally graded beams are investigated.

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Cite This Article

KARAMANLI, A. F. (2018). Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory. ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE, Cilt: 6 - Sayı: 2, 164–178. https://ajindex.com/articles/141967

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References (11)

  1. R. Kadoli, K. Akhtar, N. Ganesan, “Static analysis of functionally graded beams using higher order shear deformation theory”, Appl. Math. Model., vol. 32, pp. 2509-2525, 2008. X.F. Li, “A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams, Journal of Sound and Vibration”, vol. 318, pp. 1210-1229, 2008.
  2. S.R. Li, D.F. Cao, Z.Q. Wan, “Bending solutions of FGM Timoshenko beams from those of the homogenous Euler–Bernoulli beams”, Appl. Math. Model., vol. 37, pp. 7077-7085, 2013.
  3. M. Aydogdu, V. Taskin, “Free vibration analysis of functionally graded beams with simply supported edges”, Materials&Design., vol. 28, pp. 1651–1656, 2007. M. Simsek, “Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories”, Nuc. Eng. and Des., vol. 240, pp. 697–705, 2010. M. Simsek, “Vibration analysis of a functionally graded beam under a moving mass by using different beam theories”, Compos. Struct., vol. 92, pp. 904–917, 2010
  4. K.K. Pradhan, S. Chakraverty, “Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh-Ritz method”, Compos. Part B., vol. 51, pp. 175–184, 2013
  5. H. Su, J.R. Banerjee, C.W. Cheung, “Dynamic stiffness formulation and free vibration analysis of functionally graded beams”, Compos. Struct., vol. 106, pp. 854–862, 2013
  6. S.R. Li, Z.G. Wan, J.H. Zhang, “Free vibration of functionally graded beams based on both classical and first-order shear deformation beam theories”, Applied Mathematics and Mechanics, vol. 35, pp. 591–606, 2014. M. Aydogdu, “Semi-inverse method for vibration and buckling of axially functionally graded beams”, Journal of Reinforced Plastics&Composites, vol. 27, pp. 683–691, 2008
  7. Y. Huang, X.F. Li, “Buckling analysis of nonuniform and axially graded columns with varying flexural rigidity”, Journal of Engineering Mechanics, vol. 137, no.1, pp. 73–81, 2011
  8. X.F. Li, B.L. Wang, J.C. Han, “A higher-order theory for static and dynamic analyses of functionally graded beams”, Archive of Applied Mechanics, vol. 80, pp. 1197-1212, 2010.
  9. T.P. Vo, H.T. Thai, T.K. Nguyen, F. Inam, J. Lee, “Static behaviour of functionally graded sandwich beams using a quasi-3D theory”, Compos. Part B, vol. 68, pp. 59-74, 2015
  10. M. Filippi, E. Carrera, A.M. Zenkour, “Static analyses of FGM beams by various theories and finite elements”, Compos. Part B, vol. 72, pp. 1-9, 2015.
  11. D.S. Mashat, E. Carrera, A.M. Zenkour, S.A.A. Khateeb, M. Filippi, “Free