Yıl 2018, Cilt 6, Sayı 2, Sayfalar 164 - 178 2018-08-03

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

Armağan Karamanlı [1]

18 14

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.

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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Orcid: 0000-0003-3990-6515
Yazar: Armağan Karamanlı (Sorumlu Yazar)
Ülke: Turkey


Bibtex @araştırma makalesi { apjes357539, journal = {Akademik Platform Mühendislik ve Fen Bilimleri Dergisi}, issn = {}, eissn = {2147-4575}, address = {Akademik Platform}, year = {2018}, volume = {6}, pages = {164 - 178}, doi = {10.21541/apjes.357539}, title = {Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory}, key = {cite}, author = {Karamanlı, Armağan} }
APA Karamanlı, A . (2018). Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory. Akademik Platform Mühendislik ve Fen Bilimleri Dergisi, 6 (2), 164-178. DOI: 10.21541/apjes.357539
MLA Karamanlı, A . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 164-178 <http://dergipark.gov.tr/apjes/issue/38735/357539>
Chicago Karamanlı, A . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 164-178
RIS TY - JOUR T1 - Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory AU - Armağan Karamanlı Y1 - 2018 PY - 2018 N1 - doi: 10.21541/apjes.357539 DO - 10.21541/apjes.357539 T2 - Akademik Platform Mühendislik ve Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 164 EP - 178 VL - 6 IS - 2 SN - -2147-4575 M3 - doi: 10.21541/apjes.357539 UR - http://dx.doi.org/10.21541/apjes.357539 Y2 - 2018 ER -
EndNote %0 Akademik Platform Mühendislik ve Fen Bilimleri Dergisi Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory %A Armağan Karamanlı %T Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory %D 2018 %J Akademik Platform Mühendislik ve Fen Bilimleri Dergisi %P -2147-4575 %V 6 %N 2 %R doi: 10.21541/apjes.357539 %U 10.21541/apjes.357539
ISNAD Karamanlı, Armağan . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 / 2 (Ağustos 2018): 164-178. http://dx.doi.org/10.21541/apjes.357539