Application of Generalized Differential Quadrature Method to the Bending of Thick Laminated Plates with Various Boundary Conditions


Article Preview

Bending analysis of thick laminated rectangular plates with various boundary conditions is presented using Generalized Differential Quadrature (GDQ) method. Based on the Reissner first order shear deformation theory, the governing equations include a system of eight first order partial differential equations in terms of unknown displacements, forces and moments. Presence of all plate variables in the governing equations provide a simple procedure to satisfy different boundary condition during application of GDQ method to obtain accurate results with relatively small number of grid points even for plates with free edges .Illustrative examples including various combinations of clamped, simply supported and free boundary condition are given to demonstrate the accuracy and convergence of the presented GDQ technique. Results are compared with other analytical and finite element predictions and show reasonably good agreement.



Edited by:

Patrick Sean Keogh




M. M. Aghdam et al., "Application of Generalized Differential Quadrature Method to the Bending of Thick Laminated Plates with Various Boundary Conditions", Applied Mechanics and Materials, Vols. 5-6, pp. 407-414, 2006

Online since:

October 2006




[1] S.K. Jang, C.W. Bert and A.G. Striz: Int. Journal for Numerical Methods in Engineering Vol. 28 (1989); p.561.

[2] C.W. Bert, X. Wang and A.G. Striz: Int J of Solids and Struct. Vol. 30 (1993), p.1737.

[3] C. Shu and H. Du: Int J of Solids and Struct. Vol. 34 (1997), p.819.

[4] C. Shu and C.M. Wang: Engineering Structures Vol. 21 (1999), p.125.

[5] R.E. Bellman and J. Casti: Journal of Mathematical Analysis and Applications. Vol. 34 (1971) p.235.

[6] C. Shu and B.E. Richards, in: Proc. of 3 rd Int. Conf. on Advances in Numeric Methods in Engineering: Theory and Applications. Swansea, UK (1990) p.978.

[7] ABAQUS User Manual. Pawtucket RI: Hibbitt, Karlsson, Sorensen, (1997).

[8] M.M. Aghdam, S.J. Fariborz and M. Shakeri, in: Proceedings of the First Annual Conference on Boilers and Pressure Vessels, Arak, Iran, (1992). p.56.

[9] E. Reissner: ASME, J. of Applied Mechanics. Vol. 12 (1945) p.69.

[10] C. Shu, W. Chen, H. Xue and H. Du: Int. J. Numerical Methods in Engineering. Vol. 51 (2001), p.159.

[11] J.N. Reddy: Mechanics of Laminated Composite Plates and shells theory and analysis. (CRC Press, New York, 2004).

[12] K.H. Lee, G.T. Him and C.M. Wang: Int J Solids and Struct. Vol. 39 (2002), p.127.

[13] J.N. Reddy, C.M. Wang, G.T. Lim and K.H. Ng: Int J Solids and Struct. Vol. 38 (2001), p.4701.

[14] J.M. Whitney and N.J. Pagano: ASME J of Applied Mech. Vol. 37 (1970) p.1031.

Fetching data from Crossref.
This may take some time to load.