Large deflection analysis of moderately thick composite plates

  • Hakan Tanrıöver Istanbul Technical University
  • Erol Şenocak Istanbul Technical University

Abstract

Large deflection analysis of laminated composite plates is considered. The Galerkin method along with Newton-Raphson method is applied to large deflection analysis of laminated composite plates with various edge conditions. First order shear deformation theory and von Kármán type nonlinearity are utilized and the governing differential equations are solved by choosing suitable polynomials as trial functions to approximate the plate displacement functions. The solutions are compared to that of Chebyshev polynomials and finite elements. A very close agreement has been observed with these approximating methods. In the solution process, analytical computation has been done wherever it is possible, and analytical-numerical type approach has been made for all problems.

Keywords

Galerkin method, large deflection, composite plates,

References

[1] ANSYS Reference Manual. ANSYS Inc., 1999.
[2] D.O. Brush and B.O. Almroth. Buckling of Bars, Plates and Shells. McGraw-Hill, 1975.
[3] C.Y. Chia and M.K Prabhakara. Large deflection of unsymmetric cross-ply and angle-ply plates. J. Mech. Engrg. Sci., 18(4): 179-183, 1976.
[4] S.T. Dennis. A Galerkin solution to geometrically nonlinear laminated shallow shell equations. Comput. Struct., 63(5): 859- 874, 1997.
[5] KM. Liew, J. Wang, M.J. Tan and S. Rajendran. Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT. Comput. Meth. Appl. Mech. Engrg., 193: 4763-4779, 2004.
Published
Sep 27, 2022
How to Cite
TANRIÖVER, Hakan; ŞENOCAK, Erol. Large deflection analysis of moderately thick composite plates. Computer Assisted Methods in Engineering and Science, [S.l.], v. 13, n. 4, p. 683-690, sep. 2022. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/898>. Date accessed: 23 dec. 2024.
Section
Articles