Local Buckling of Orthotropic Plates on Elastic Supports Using Spline Finite Strip Method

Document Type : Research Article

Authors

Abstract

The prediction of local stability of thin plates under compression has become increasingly important in structural design.
Numerical methods are employed to overcome the difficulties of exact solution for partial differential equations of plate’s stability. Spline Finite Strip Method is one of these numerical methods and different elastic supports attached to the plate may be handled using this method. In the present paper, local buckling of orthotropic plates resting on elastic supports are studied and results are compared with known solutions. It is shown that rapid convergence of the solution is obtained.
Local buckling coefficients of plates are calculated for various effective parameters. The optimum position of the elastic supports with specific stiffness is proposed in order to maximize the local buckling coefficients for plates subjected to in-plane loading.

Keywords


[1]Cheung, Y.K., Finite Strip Method in Structural Analysis, Pergoman Press, Oxford, U. K., 1976.
[2]Bradford, M.A., Azhari, M., Buckling of plates with different end conditions using the finite strip method,Computers & Structures, Vol. 56, No. 1-3, pp. 75-83,1995.
[3]Plank, R.J., Wittrick, W.H., Buckling under combined loading of thin flat-walled structures by a complex finite strip method, International Journal for Numerical Methods in Engineering, Vol. 8, pp. 323-339, 1974.
[4]Kress, R., Numerical Analysis, Springer, 1998
[5]Prenter, P.M., Spline and Variation Methods, Wiley, New York, 1975.
[6]Fan, S.C., Spline finite strip in structural analysis, PhD Thesis, University of Hong Kong, 1982.
[7]Kennedy, D., Williams, F.W., Vibration and buckling of anisotropic plate assemble with Winkler foundation,Journal of Sound and Vibration, Vol. 138, pp. 501-510,1990.
[8]Kerstern, J.G.M. , Laura, P.A.A. , Grossi, R.O. , Ercoli, L. , Vibration of rectangular plates with point support,Journal of Sound and Vibration, Vol. 89, No. 2, pp. 291-293, 1983.
[9]Omurtag, M.H., Akuz, A.Y., Free vibration of Kirchhoff plates resting on elastic foundation by mixed finite element formulation based on Gateaux differential,Journal of Numerical Methods in Engineering, Vol.40,pp. 295-317, 1997.
[10]Raju, K.K., Rao, G.V., Mode shape change in the stability problem and it’s effect on the vibration behavior of simply-supported orthotropic rectangular plates on elastic foundation, Journal of Sound and Vibration, Vol.175, No.5, pp. 693-699, 1994.
[11]Madasamy, C.M., Kalyanaraman, V., Analysis of plate structures with rectangular cutouts and internal supports using the Spline finite strip method, Computers &Structures, Vol. 52, No.2, pp. 277-284, 1994.
[12]Saha, K.N., Kar, R.C., Gatta, P.K., Dynamic stability of rectangular plate on non-homogeneous Winkler foundation, Computers and Structures, Vol. 63, No. 6,pp. 1213-1222, 1997.
[13]Saadatpour, M.M., Azhari, M., Bradford, M.A., Buckling of arbitrary quadrilateral plates with intermediate supports using the Galerkin method, Computer Methods in Applied Mechanics and Engineering, Vol. 164, Issue 3-4, pp. 297-306, 1998.
[14]Bradford, M.A., Smith, S.T., Oehlers, D.J., Elastic buckling of unilaterally Constrained Rectangular in Pure Shear, Engineering Structures, Vol. 21, pp. 443-453,1997.
[15]Matsunaga, H., Vibration and stability of thick plates on elastic foundation, Journal of Engineering Mechanics,Vol. 126, No. 1, pp. 27-34, 2000.
[16]Huang, M.H., Thambiratnam, D.P., Analysis of plate resting on elastic supports and elastic foundation by finite strip method, Computers and Structures, Vol. 79,pp. 2547-2557, 2001
[17]Azhari, M., Abdollahian, M., Bradford, M.A., Local buckling of composite laminated plates assemblies using the Spline finite strip method, Advances in Structural Engineering, Vol. 3, No.2, pp. 173-178, 2000.
[18]ANSYS(R) Release 8.1 Build: 2004.0329 .Copyright 1994-2004 by SAS IP