The Effect of Opening on Elastic Buckling of Plates Subjected to Unidirectional Compression Load

Abstract:

This paper has investigated the effect of hole shape, hole size and hole position on elastic buckling of square perforated plates by using the finite element method. According to the effect law of these three geometric factors on buckling bearing capacity, buckling coefficient was obtained by data fitting. The results show that: The plate with circular perforation has the greatest buckling bearing capacity of the three perforation shape plate; When the center perforations have the same area, the relationship between buckling coefficient and perforation size is exponential for the plate with circular hole or square hole, the relationship between buckling coefficient and perforation size is biquadratic for the plate with triangular hole and the greater the perforation size is, the less the buckling bearing capacity will be; For the plate with uniform circular perforation size, The relationship of buckling coefficient and the spacing between perforation center and structure center is quadratic and the greater the spacing is, the less the buckling bearing capacity will be. The results in this paper provide reference for perforation design of plate.

• Periodical: Applied Mechanics and Materials (Volume 574)
• Pages: 127-132
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.574.127
• Online since: July 2014
• Authors: Ting Ting Wang, Lian Chun Long*
• Keywords: Elastic Buckling, Empirical Equations, Imperfection Coefficient, Perforated Plates

References

[1] M. Aydin Komur and Mustafa Sonmez. Elastic buckling of rectangular plates under linearly varying in-plane normal load with a circular cutout, Mechanics Research Communications. 35(2008): 361-371.

DOI: 10.1016/j.mechrescom.2008.01.005

[2] Emanuele Maiorana, Carlo Pellegrino, Claudio Modena. Elastic stability of plates with circular and rectangular perforations subjected to axial compression and bending moment, Thin-Walled Structures. 247(2009): 241-255.

DOI: 10.1016/j.tws.2008.08.003

[3] Emanuele Maiorana, Carlo Pellegrino, Claudio Modena. Linear buckling analysis of perforated plates subjected to localized symmetrical load, Engineering structures. 30(2008): 3151-3158.

DOI: 10.1016/j.engstruct.2008.04.024

[4] Khaled M., EI-Sawy, Aly S. Nazmy. Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric perforations, Thin-Walled Structures. 39(2001) : 983-998.

DOI: 10.1016/s0263-8231(01)00040-4

[5] Khaled M., EI-Sawy, Mohammad Ikbal Martini. Elastic stability of bi-axially loaded rectangular plates with a single circular perforation, Thin-Walled Structures. 45(2007) : 122-133.

DOI: 10.1016/j.tws.2006.11.002

[6] V.V. Degtyarev, N.V. Degtyareva. Elastic stability of uniformly compressed plates perforated in triangular patterns, Thin-Walled Structures. 52(2012): 165-173.

DOI: 10.1016/j.tws.2011.12.020

[7] M. Shariati , H.R. Allahbakhsh. Numerical and experimental investigations on the buckling of steel semi-spherical shells under various loadings, Thin-Walled Structure. 48(2010): 620-628.

DOI: 10.1016/j.tws.2010.03.002

[8] Rahman S, Nafiseh K. Experimental and numerical studies on buckling of cracked thin-plates under full and partial compression edge loading, Thin-Walled Structures. 49(2011): 1504-1516.

DOI: 10.1016/j.tws.2011.07.010

[9] Kabir M.Z., Nazari A. The study of ultimate strength in notched cylinders subjected to axial compression, Journal of Constructional Steel Research. 67(2011): 1442-1452.

DOI: 10.1016/j.jcsr.2011.03.018