Commenced in January 2007
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Refined Buckling Analysis of Rectangular Plates Under Uniaxial and Biaxial Compression

Authors: V. Piscopo

Abstract:

In the traditional buckling analysis of rectangular plates the classical thin plate theory is generally applied, so neglecting the plating shear deformation. It seems quite clear that this method is not totally appropriate for the analysis of thick plates, so that in the following the two variable refined plate theory proposed by Shimpi (2006), that permits to take into account the transverse shear effects, is applied for the buckling analysis of simply supported isotropic rectangular plates, compressed in one and two orthogonal directions. The relevant results are compared with the classical ones and, for rectangular plates under uniaxial compression, a new direct expression, similar to the classical Bryan-s formula, is proposed for the Euler buckling stress. As the buckling analysis is a widely diffused topic for a variety of structures, such as ship ones, some applications for plates uniformly compressed in one and two orthogonal directions are presented and the relevant theoretical results are compared with those ones obtained by a FEM analysis, carried out by ANSYS, to show the feasibility of the presented method.

Keywords: Buckling analysis, Thick plates, Biaxial stresses

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078458

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References:


[1] S. Timoshenko, J. Gere, Theory of Elastic Stability, McGraw-Hill International Book Company, 17th edition, 1985.
[2] R.P. Shimpi and H.G. Patel, "A two variable refined plate theory for orthotropic plate analysis", International Journal of Solid and Structures (43), pp. 6783-6799, 2006.
[3] H. Tai, S. Kim, J. Lee, "Buckling analysis of plates using two variable refined plate theory", Proceedings of Pacific Structural Steel Conference 2007, Steel Structures in Natural Hazards, Wairakei, New Zeland, 13-16 March, 2007.
[4] S. Timoshenko, N. Goodier, Theory of Elasticity, McGraw-Hill International Book Company, 1951.
[5] O. Hughes, Ship Structural Design: a Rationally-Based Computer- Aided Optimization Approach, SNAME Edition, 1988.
[6] RINA Rules, 2010.
[7] E. Reissner, "The effect of transverse shear deformation on the bending of elastic plates", Journal of Applied Mechanics Vol. 12 (Transactions ASME 67), pp. 69-77, 1945;
[8] R.D. Mindlin, "Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates ", Journal of Applied Mechanics Vol. 18 (Transactions ASME 73), pp. 31-38, 1951;
[9] M. Levinson, "An accurate simple theory of the statics and dynamics of elastic plates", Mechanics Research Communications Vol. 7, pp. 343-350, 1980;
[10] J.N. Reddy, "A refined non linear theory of plates with transverse shear deformation", International Journal of Solid and Structures Vol. 20, pp.881-896, 1984.