Research Article
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Eigenvalue Buckling Analysis of Beams with Different Width and Square Cutout

Year 2022, Volume: 6 Issue: 1, 71 - 78, 30.06.2022

Savaş Evran Salih Zeki Yıldır

https://doi.org/10.29002/asujse.1097633
Cited By: 1

Abstract

In this study, effect of square cutout and beam widths on eigenvalue buckling analysis of beams is evaluated using finite element and Taguchi methods. ANSYS software is used to perform the finite element analyses and the analyses were conducted Taguchi L9 orthogonal array with three control factors. Each control factor has three levels. The first control factor is considered as position of square cutout whereas the second control factor was assumed as beam widths. The influence of levels of the beam widths and square cutouts on responses is determined using analysis of signal-to-noise ratio whereas variance analysis was operated to notice the effect of each control factor on the buckling behavior of the beams. According to results obtained from the study, the buckling value of the beams increase as the square cutout get closer to the free edge. Increase of the beam widths leads to an increase on buckling result of the beams. The effect of beam width on the buckling analysis is higher than square cutout.

Keywords

Beam Cutout Buckling Finite element method

References

  • [1] S. Abolghasemi, H. Eipakchi, M. Shariati, An analytical solution for buckling of plates with circular cutout subjected to non-uniform in-plane loading, Archive of Applied Mechanics 89 (2019) 2519-2543.
  • [2] S.-E. Kim, H.-T. Thai, J. Lee, Buckling analysis of plates using the two variable refined plate theory, Thin-Walled Structures 47 (2009) 455-462.
  • [3] S. Singh, K. Kulkarni, R. Pandey, H. Singh, Buckling analysis of thin rectangular plates with cutouts subjected to partial edge compression using FEM, Journal of Engineering, Design and Technology 10 (2012) 128-142.
  • [4] V. Piscopo, Refined buckling analysis of rectangular plates under uniaxial and biaxial compression, International Journal of Mechanical and Mechatronics Engineering 4 (2010) 1018-1025.
  • [5] H. Kobayashi, K. Sonoda, Buckling of rectangular plates with tapered thickness, Journal of Structural Engineering 116 (1990) 1278-1289.
  • [6] X. Wang, X. Wang, X. Shi, Differential quadrature buckling analyses of rectangular plates subjected to non-uniform distributed in-plane loadings, Thin-Walled Structures 44 (2006) 837-843.
  • [7] O. Mijušković, B. Ćorić, B. Šćepanović, Accurate buckling loads of plates with different boundary conditions under arbitrary edge compression, International Journal of Mechanical Sciences 101-102 (2015) 309-323.
  • [8] S. Kvaternik, M. Filippi, D. Lanc, G. Turkalj, E. Carrera, Comparison of classical and refined beam models applied on isotropic and FG thin-walled beams in nonlinear buckling response, Composite Structures 229 (2019) 111490.
  • [9] Ç. Demir, K. Mercan, Ö. Civalek, Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel, Composites Part B: Engineering 94 (2016) 1-10.
  • [10] L.P. Kollár, Buckling of isotropic and orthotropic cylinders under induced moments, International Journal of Solids and Structures 34 (1997) 1915-1923.
  • [11] B. Akgöz, Ö. Civalek, A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation, Composite Structures 176 (2017) 1028-1038.
  • [12] Ö. Civalek, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26 (2004) 171-186.
  • [13] B. Akgöz, Ö. Civalek, Buckling analysis of functionally graded microbeams based on the strain gradient theory, Acta Mechanica 224 (2013) 2185-2201.
  • [14] P.J. Ross, Taguchi Techniques for Quality Engineering, McGraw-Hill International Editions, 2nd Edition, New York, USA, 1996.

Year 2022, Volume: 6 Issue: 1, 71 - 78, 30.06.2022

Savaş Evran Salih Zeki Yıldır

https://doi.org/10.29002/asujse.1097633
Cited By: 1

Abstract

References

  • [1] S. Abolghasemi, H. Eipakchi, M. Shariati, An analytical solution for buckling of plates with circular cutout subjected to non-uniform in-plane loading, Archive of Applied Mechanics 89 (2019) 2519-2543.
  • [2] S.-E. Kim, H.-T. Thai, J. Lee, Buckling analysis of plates using the two variable refined plate theory, Thin-Walled Structures 47 (2009) 455-462.
  • [3] S. Singh, K. Kulkarni, R. Pandey, H. Singh, Buckling analysis of thin rectangular plates with cutouts subjected to partial edge compression using FEM, Journal of Engineering, Design and Technology 10 (2012) 128-142.
  • [4] V. Piscopo, Refined buckling analysis of rectangular plates under uniaxial and biaxial compression, International Journal of Mechanical and Mechatronics Engineering 4 (2010) 1018-1025.
  • [5] H. Kobayashi, K. Sonoda, Buckling of rectangular plates with tapered thickness, Journal of Structural Engineering 116 (1990) 1278-1289.
  • [6] X. Wang, X. Wang, X. Shi, Differential quadrature buckling analyses of rectangular plates subjected to non-uniform distributed in-plane loadings, Thin-Walled Structures 44 (2006) 837-843.
  • [7] O. Mijušković, B. Ćorić, B. Šćepanović, Accurate buckling loads of plates with different boundary conditions under arbitrary edge compression, International Journal of Mechanical Sciences 101-102 (2015) 309-323.
  • [8] S. Kvaternik, M. Filippi, D. Lanc, G. Turkalj, E. Carrera, Comparison of classical and refined beam models applied on isotropic and FG thin-walled beams in nonlinear buckling response, Composite Structures 229 (2019) 111490.
  • [9] Ç. Demir, K. Mercan, Ö. Civalek, Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel, Composites Part B: Engineering 94 (2016) 1-10.
  • [10] L.P. Kollár, Buckling of isotropic and orthotropic cylinders under induced moments, International Journal of Solids and Structures 34 (1997) 1915-1923.
  • [11] B. Akgöz, Ö. Civalek, A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation, Composite Structures 176 (2017) 1028-1038.
  • [12] Ö. Civalek, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26 (2004) 171-186.
  • [13] B. Akgöz, Ö. Civalek, Buckling analysis of functionally graded microbeams based on the strain gradient theory, Acta Mechanica 224 (2013) 2185-2201.
  • [14] P.J. Ross, Taguchi Techniques for Quality Engineering, McGraw-Hill International Editions, 2nd Edition, New York, USA, 1996.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Savaş Evran 0000-0002-7512-5997

Salih Zeki Yıldır 0000-0002-9544-7336

Publication Date June 30, 2022
Submission Date April 2, 2022
Acceptance Date June 6, 2022
Published in Issue Year 2022Volume: 6 Issue: 1

Cite

APA Evran, S., & Yıldır, S. Z. (2022). Eigenvalue Buckling Analysis of Beams with Different Width and Square Cutout. Aksaray University Journal of Science and Engineering, 6(1), 71-78. https://doi.org/10.29002/asujse.1097633

Cited By

Buckling Analysis of Functionally Graded Materials (FGM) Thin Plates with Various Circular Cutout Arrangements
Journal of Composites Science
https://doi.org/10.3390/jcs6090277
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