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Buckling behavior of simply supported tapered square plates

Year 2024, Issue: 059, 1 - 9, 31.12.2024
https://doi.org/10.59313/jsr-a.1427372

Abstract

Buckling is one of the important design parameters for the design of plate structures. The critical buckling loads and buckling coefficients for a series of different tapered plates are investigated. Buckling analyses of square plates are performed by changing different types of thickness variation by using ANSYS finite element software. Plates are assumed to be thin plate. The loading types and taper ratio of the simply supported square plates considerably affect the critical buckling loads. The analysis results are compared with existing literature findings and presented graphically and in tabular form. It is concluded that the analyses results are in good harmony with the literature results. The graphics proposed in this study could be useful for designers. The novelty of this study is the presentation of new straightforward formulas that provide critical buckling load coefficients separately for designers, specifically for simply supported tapered plates under uniaxial and biaxial axial loading conditions.

References

  • [1] S. S. Hwang, “Stability of plates with piecewise varying thickness,” J. Appl. Mech., vol. 40, no. 4, pp. 1127–1129, 1973
  • [2] P. V. Navaneethakrishnan, “Buckling of nonuniform plates: spline method,” J. Eng. Mech., vol. 114, no. 5, 1988.
  • [3] C. M. Wang, G. M. Hong, and T. J. Tan, “Elastic buckling of tapered circular plates,” Comput. Struct, vol. 55, no. 6, pp. 1055–1061, 1995.
  • [4] W. H. Wittrick and C. H. Ellen, “Buckling of tapered rectangular plates in compression,” Aeronautical Quarterly, vol. 13, no. 4, pp. 308–326, Nov. 1962, doi: 10.1017/s0001925900002547.
  • [5] B. Klein, “The buckling of tapered plates in compression compressive buckling under varying loading of simply supported plates simultaneously tapered in plan form and in thickness,” Aircraft Engineering and Aerospace Technology, vol. 28, no. 12, pp. 427-430, 1956, doi: 10.1108/eb032774.
  • [6] G. G. Pope, “The buckling of plates tapered in thickness,” 1963.
  • [7] I. E. Harik, X. Liu, and R. Ekambaram, “Elastic stability of plates with varying rigidities,” Computers and Structures, vol. 38, no. 2, pp. 161–168, 1991.
  • [8] M. S. Nerantzaki and J. T. Katsikadelis, “Buckling of plates with variable thickness—an analog equation solution,” Eng Anal Bound Elem, vol. 18, no. 2, pp. 149–154, Sep. 1996.
  • [9] M. Saeidifar, S. N. Sadeghi, and M. R. Saviz, “Analytical solution for the buckling of rectangular plates under uni-axial compression with variable thickness and elasticity modulus in the y-direction,” Proc Inst Mech Eng C J Mech Eng Sci, vol. 224, no. 1, pp. 33–41, Aug. 2009, doi: 10.1243/09544062JMES1562.
  • [10] K. K. Viswanathan, P. V. Navaneethakrishnan, and Z. A. Aziz, “Buckling analysis of rectangular plates with variable thickness resting on elastic foundation,” in IOP Conference Series: Earth and Environmental Science, Institute of Physics Publishing, 2015. doi: 10.1088/1755-1315/23/1/012006.
  • [11] A. Hassan and N. Kurgan, “Modeling and buckling analysis of rectangular plates in ANSYS,” International Journal of Engineering and Applied Sciences, vol. 11, no. 1, pp. 310–329, May 2019, doi: 10.24107/ijeas.531011.
  • [12] A. Kacimi, G. Ikhenazen, F. Mohri, M. Saidani and M. Kilardj, “Linear and nonlinear stability analysis of thin rectangular plates subjected to local in-plane shearing,” Structural Engineering International, vol. 33, no. 4, pp. 689–698, 2023, doi: 10.1080/10168664.2023.2208143.
  • [13] F. Uslu, M.H. Saraçoğlu and U. Albayrak, “Buckling of Square and Circular Perforated Square Plates under Uniaxial Loading,” Journal of Innovations in Civil Engineering and Technology, vol. 4, no. 2, pp. 61–75, 2022.
  • [14] F. Baran and D. Balkan, “Thermal buckling analysis of laminated plates with variable angle fiber orientation,” Niğde Ömer Halisdemir University Journal of Engineering Sciences, vol. 12, no. 3, pp. 912–918, 2023, doi: 10.28948/ngumuh.1241416.
  • [15] M. E. Deniz, “Buckling behavior of curved composite plates with a central circular hole,” Dicle University Journal of Engineering, vol. 8, no. 1, pp. 203–212, 2017.
  • [16] Timoshenko, S., Woinowsky-Krieger, S., Theory of Plates and Shells. McGraw-Hill, Inc., 1959.
  • [17] D. Çıraklı, M.H. Saraçoğlu, U. Albayrak, “The effect of layer thicknesses on buckling behavior in foam core sandwich plates with various materials,” International Journal of Technological Sciences, vol. 15, no. 3, pp. 111–117, Dec 2023, doi: 10.55974/utbd.1373786.
  • [18] A. Swanson Analysis System Inc., “ANSYS User’s manual.” 2005.
Year 2024, Issue: 059, 1 - 9, 31.12.2024
https://doi.org/10.59313/jsr-a.1427372

Abstract

References

  • [1] S. S. Hwang, “Stability of plates with piecewise varying thickness,” J. Appl. Mech., vol. 40, no. 4, pp. 1127–1129, 1973
  • [2] P. V. Navaneethakrishnan, “Buckling of nonuniform plates: spline method,” J. Eng. Mech., vol. 114, no. 5, 1988.
  • [3] C. M. Wang, G. M. Hong, and T. J. Tan, “Elastic buckling of tapered circular plates,” Comput. Struct, vol. 55, no. 6, pp. 1055–1061, 1995.
  • [4] W. H. Wittrick and C. H. Ellen, “Buckling of tapered rectangular plates in compression,” Aeronautical Quarterly, vol. 13, no. 4, pp. 308–326, Nov. 1962, doi: 10.1017/s0001925900002547.
  • [5] B. Klein, “The buckling of tapered plates in compression compressive buckling under varying loading of simply supported plates simultaneously tapered in plan form and in thickness,” Aircraft Engineering and Aerospace Technology, vol. 28, no. 12, pp. 427-430, 1956, doi: 10.1108/eb032774.
  • [6] G. G. Pope, “The buckling of plates tapered in thickness,” 1963.
  • [7] I. E. Harik, X. Liu, and R. Ekambaram, “Elastic stability of plates with varying rigidities,” Computers and Structures, vol. 38, no. 2, pp. 161–168, 1991.
  • [8] M. S. Nerantzaki and J. T. Katsikadelis, “Buckling of plates with variable thickness—an analog equation solution,” Eng Anal Bound Elem, vol. 18, no. 2, pp. 149–154, Sep. 1996.
  • [9] M. Saeidifar, S. N. Sadeghi, and M. R. Saviz, “Analytical solution for the buckling of rectangular plates under uni-axial compression with variable thickness and elasticity modulus in the y-direction,” Proc Inst Mech Eng C J Mech Eng Sci, vol. 224, no. 1, pp. 33–41, Aug. 2009, doi: 10.1243/09544062JMES1562.
  • [10] K. K. Viswanathan, P. V. Navaneethakrishnan, and Z. A. Aziz, “Buckling analysis of rectangular plates with variable thickness resting on elastic foundation,” in IOP Conference Series: Earth and Environmental Science, Institute of Physics Publishing, 2015. doi: 10.1088/1755-1315/23/1/012006.
  • [11] A. Hassan and N. Kurgan, “Modeling and buckling analysis of rectangular plates in ANSYS,” International Journal of Engineering and Applied Sciences, vol. 11, no. 1, pp. 310–329, May 2019, doi: 10.24107/ijeas.531011.
  • [12] A. Kacimi, G. Ikhenazen, F. Mohri, M. Saidani and M. Kilardj, “Linear and nonlinear stability analysis of thin rectangular plates subjected to local in-plane shearing,” Structural Engineering International, vol. 33, no. 4, pp. 689–698, 2023, doi: 10.1080/10168664.2023.2208143.
  • [13] F. Uslu, M.H. Saraçoğlu and U. Albayrak, “Buckling of Square and Circular Perforated Square Plates under Uniaxial Loading,” Journal of Innovations in Civil Engineering and Technology, vol. 4, no. 2, pp. 61–75, 2022.
  • [14] F. Baran and D. Balkan, “Thermal buckling analysis of laminated plates with variable angle fiber orientation,” Niğde Ömer Halisdemir University Journal of Engineering Sciences, vol. 12, no. 3, pp. 912–918, 2023, doi: 10.28948/ngumuh.1241416.
  • [15] M. E. Deniz, “Buckling behavior of curved composite plates with a central circular hole,” Dicle University Journal of Engineering, vol. 8, no. 1, pp. 203–212, 2017.
  • [16] Timoshenko, S., Woinowsky-Krieger, S., Theory of Plates and Shells. McGraw-Hill, Inc., 1959.
  • [17] D. Çıraklı, M.H. Saraçoğlu, U. Albayrak, “The effect of layer thicknesses on buckling behavior in foam core sandwich plates with various materials,” International Journal of Technological Sciences, vol. 15, no. 3, pp. 111–117, Dec 2023, doi: 10.55974/utbd.1373786.
  • [18] A. Swanson Analysis System Inc., “ANSYS User’s manual.” 2005.
There are 18 citations in total.

Details

Primary Language English
Subjects Numerical Modelization in Civil Engineering
Journal Section Research Articles
Authors

Sefa Uzun 0009-0008-9450-1063

Mustafa Halûk Saraçoğlu 0000-0003-3842-5699

Gökhan Güçlü 0000-0003-2931-9501

Fethullah Uslu 0000-0001-8057-5119

Publication Date December 31, 2024
Submission Date January 29, 2024
Acceptance Date July 29, 2024
Published in Issue Year 2024 Issue: 059

Cite

IEEE S. Uzun, M. H. Saraçoğlu, G. Güçlü, and F. Uslu, “Buckling behavior of simply supported tapered square plates”, JSR-A, no. 059, pp. 1–9, December 2024, doi: 10.59313/jsr-a.1427372.