Yıl 2018, Cilt 19, Sayı 2, Sayfalar 375 - 406 2018-06-30

Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory

Armağan Karamanlı [1]

73 91

This study presents the free vibration and buckling behavior of two directional (2D) functionally graded beams (FGBs) under arbitrary boundary conditions (BCs) for the first time. A four-known shear and normal deformation (Quasi-3D) theory where the axial and transverse displacements are assumed to be cubic and parabolic variation through the beam depth is employed based on the framework of the Ritz formulation. The equations of motion are derived from Lagrange’s equations. The developed formulation is validated by solving a homogeneous beam problem and considering different aspect ratios and boundary conditions. The obtained numerical results in terms of dimensionless fundamental frequencies and dimensionless first critical buckling loads are compared with the results from previous studies for convergence studies. The material properties of the studied problems are assumed to vary along both longitudinal and thickness directions according to the power-law distribution. The axial, bending, shear and normal displacements are expressed in polynomial forms with the auxiliary functions which are necessary to satisfy the boundary conditions. The effects of shear deformation, thickness stretching, material distribution, aspect ratios and boundary conditions on the free vibration frequencies and critical buckling loads of the 2D-FGBs are investigated.

2D Functionally Graded Beam, Ritz Method, Quasi-3D Theory, Vibration
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Birincil Dil en
Konular Mühendislik ve Temel Bilimler
Dergi Bölümü Araştırma Makalesi
Yazarlar

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


Bibtex @araştırma makalesi { aubtda361095, journal = {Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik}, issn = {1302-3160}, eissn = {2146-0205}, address = {Anadolu Üniversitesi}, year = {2018}, volume = {19}, pages = {375 - 406}, doi = {10.18038/aubtda.361095}, title = {Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory}, key = {cite}, author = {Karamanlı, Armağan} }
APA Karamanlı, A . (2018). Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik, 19 (2), 375-406. DOI: 10.18038/aubtda.361095
MLA Karamanlı, A . "Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 (2018): 375-406 <http://dergipark.gov.tr/aubtda/issue/33078/361095>
Chicago Karamanlı, A . "Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 (2018): 375-406
RIS TY - JOUR T1 - Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory AU - Armağan Karamanlı Y1 - 2018 PY - 2018 N1 - doi: 10.18038/aubtda.361095 DO - 10.18038/aubtda.361095 T2 - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik JF - Journal JO - JOR SP - 375 EP - 406 VL - 19 IS - 2 SN - 1302-3160-2146-0205 M3 - doi: 10.18038/aubtda.361095 UR - http://dx.doi.org/10.18038/aubtda.361095 Y2 - 2018 ER -
EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory %A Armağan Karamanlı %T Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory %D 2018 %J Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik %P 1302-3160-2146-0205 %V 19 %N 2 %R doi: 10.18038/aubtda.361095 %U 10.18038/aubtda.361095
ISNAD Karamanlı, Armağan . "Free Vibration and Buckling Analysis of Two Directional Functionally Graded Beams Using a Four-Unknown Shear and Normal Deformable Beam Theory". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 / 2 (Haziran 2018): 375-406. http://dx.doi.org/10.18038/aubtda.361095