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

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Abstract:

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.

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Periodical:

Applied Mechanics and Materials (Volumes 5-6)

Pages:

407-414

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.5-6.407

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Online since:

October 2006

Authors:

Mohammad Mohammadi Aghdam, M.R.N. Farahani, M. Dashty, S.M. Rezaei Niya

Keywords:

Bending Analysis, Free Edge, Generalized Differential Quadrature, Thick Laminated Plate

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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References

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

[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.

Google Scholar

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

Google Scholar

[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.

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar