The Effects of Plate-Support Condition on Buckling Strength of Rectangular Perforated Plates under Linearly Varying In-Plane Normal Load
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The Effects of Plate-Support Condition on Buckling Strength of Rectangular Perforated Plates under Linearly Varying In-Plane Normal Load

Authors: M. Tajdari, A. R. Nezamabadi, M. Naeemi, P. Pirali

Abstract:

Mechanical buckling analysis of rectangular plates with central circular cutout is performed in this paper. The finiteelement method is used to study the effects of plate-support conditions, aspect ratio, and hole size on the mechanical buckling strength of the perforated plates subjected to linearly varying loading. Results show that increasing the hole size does not necessarily reduce the mechanical buckling strength of the perforated plates. It is also concluded that the clamped boundary condition increases the mechanical buckling strength of the perforated plates more than the simply-supported boundary condition and the free boundary conditions enhance the mechanical buckling strength of the perforated plates more effectively than the fixed boundary conditions. Furthermore, for the bending cases, the critical buckling load of perforated plates with free edges is less than perforated plates with fixed edges.

Keywords: Buckling, Perforated plates, Boundary condition, Rectangular plates

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060942

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[1] Levy, Samuel, M. Woolley, And D. Kroll, " Instability of simply supported square plate with reinforced circular hole in edge compression," journal of research, national bureau of standards, vol. 39, research paper no. rp1849, pp. 571-577, dec. 1947.
[2] K. Toyoji, "elastic stability of the square plate with a central circular hole under edge thrust," proc. japan nat. cong. appl. mech, pp. 81-88, 1951.
[3] A. L. Schlack, "Elastic stability of pierced square plates," experimental mechanics, pp. 167-172, june 1964.
[4] A. L. Schlack, "Experimental critical loads for perforated square plates," experimental mechanics, pp. 69-74, feb. 1968.
[5] T.Kawai And H. Ohtsubo, "A method of solution for the complicated buckling problems of elastic plates with combined use of rayleigh-ritz-s procedure in the finite element method," affdltr- 68-150, 1968.
[6] Yu, Wei-Wen And Charles S. Davis, "Cold-formed steel members with perforated elements," j. structural division, asce, vol. 99, no. st10, pp. 2061-2077, oct. 1973.
[7] D. Ritchie, And J. Rhodes, "Buckling and post-buckling behaviour of plates with holes," aeronautical quarterly, vol. 26, pp. 281-296, nov. 1975.
[8] M. Nemeth, " Buckling behavior of orthotropic composite plates with centrally located cutouts," ph. d. dissertation, virginia polytechnic institute and state university, may 1983.
[9] M. Nemeth, "A buckling analysis for rectangular orthotropic plates with centrally located cutouts," nasa tm-86263, dec. 1984.
[10] M. Nemeth, M. Stein, And E. R. Johnson, "An approximate buckling analysis for rectangular orthotropic plates with centrally located cutouts," nasa tp-2528, feb. 1986.
[11] M. Nemeth, "Buckling behavior of compression-loaded symmetrically laminated angle-ply plates with holes," aiaa journal, vol. 26, no. 3, pp. 330-336, mar. 1988.
[12] Y. J. Lee, H. J. Lin, And C. C. Lin, "A study on the buckling behavior of an orthotropic square plate with a central circular hole," composite structures, vol. 13, no. 3, pp.173-188, 1989.
[13] S. Timoshenko And J. M. Gere, "Theory Of Elastic Stability," 2nd ed., mcgraw-hill book company, new york, 1961.
[14] K.M. El-Sawy, A.S. Nazmy, M.I. Martini, "Elasto-plastic buckling of perforated plates under uniaxial compression," thin-walled structures 42, 1083-1101, 2004.
[15] K.M. El-Sawy, A.S. Nazmy, "Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes," thin-walled structures; 39(12):983-98, 2001.
[16] C.J. Brown, A.L. Yettram, " Factors influencing the elastic stability of orthotropic plates containing a rectangular cut-out," journal of strain analysis for engineering design; 35(6):445-58, 2000.
[17] A. Komur, M. Sonmez, " Elastic buckling of rectangular plates under linearly varying in-plane normal load with a circular cutout," mechanics research communications; 35(6):361-71, 2008.
[18] E. Maiorana, C. Pellegrino, C. Modena, "Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment," thin-walled structures; 47(3):241-55, 2009.
[19] C. Moen, B. Schafer, "Impact of holes on the elastic buckling of coldformed steel columns with applications to the direct strength method," in: eighteenth international specialty conference on cold-formed steel structures. orlando, fl; p.269-83, 2006.
[20] L. William, "Mechanical- and thermal-buckling behavior of rectangular plates with different central cutouts," nasa dryden flight research center, 1998.
[21] J.H. Kang, A.W. Leissa, "Exact solutions for the buckling rectangular plates having linearly varying in-plane loading on two opposite simply supported edges," international journal of solids and structures 42, 4220-4238, 2005.
[22] A.W. Leissa, J.H. Kang, "Exact solutions for vibration and buckling of an ss-c-ss-c rectangular plate loaded by linearly varying in-plane stresses," international journal of mechanical sciences 44, 1925-1945, 2002.
[23] ANSYS, 2009. user manual, version 11.0, ansys, inc.
[24] K.M. El-Sawy, A.S. Nazmy, "Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes," thin-walled structures 39, 983-998, 2001.