BUCKLING ANALYSIS OF LAMINATED COMPOSITE PLATES UNDER THE EFFECT OF UNIAXIAL AND BIAXIAL LOADS

Yıl 2020, Cilt: 4 Sayı: 4, 218 - 225, 01.10.2020

Ali Doğan

https://doi.org/10.31127/tuje.665156

Öz

This paper investigates the buckling analysis of simply supported symmetrically thin and thick composite plates. Using the Hamilton’s principle, the governing equation for thin and thick composite plates is derived. The equation of motion for thin and thick laminated rectangular plates subjected to in-plane loads is obtained with the help of Hamilton’s principle. The loading conditions of rectangular plate are uniaxial and biaxial compression. Considering the Navier solution technique, closed form solutions are attained and buckling loads are found by solving the eigenvalue problems. In this study, the effect of edge ratios and anisotropy on the buckling analysis of rectangular plate was investigated. The computer programs have been written separately with the help of Mathematica (MATHEMATICA 2017) program for the solution of the buckling analysis of laminated composite plates. Results of the numerical studies for the buckling of laminated composite plates (LCP) are demonstrated and benchmarked with former studies in the literature and ANSYS finite element methods.

Anahtar Kelimeler

Buckling Analysis, Laminated Composite Plate, Shear Deformation Theory, Finite Element Method (ANSYS)

Kaynakça

• Akavci SS, Yerli HR, Dogan A., 2007. The first order shear deformation theory for symmetrically laminated composite plates on elastic foundation. Arab J Sci Eng.32,341-8.
• Akavci SS., 2014. Thermal buckling analysis of functionallygraded plates on an elastic foundation according to a hyperbolic shear deformation theory. Mech Compos Mater. 50(2), May, 2014 (Russian Original 50(2), March-April, (2014).
• Akavci SS., 2007. “Buckling and Free Vibration Analysis of Symmetric and Antisymmetric Laminated Composite Plates on an Elastic Foundation” Journal of Reinforced Plastics and Composites. 26(18), p.1907-1919.
• Dogan A, Arslan HM, Yerli HR., 2010. Effects of anisotropy and curvature on free vibration characteristics of laminated composite cylindrical shallow shells. Struct Eng Mech.35(4),493-510.
• Dogan A, Arslan HM., 2012. Investigation of the effect of shell plan-form dimensions on mode-shapes of the laminated composite cylindrical shallow shells using SDSST and FEM. Steel and Composite Structures, An Int\'l Journal. 12(4),303-24.
• Dogan A, 2019. Buckling Analysis of Symmetric Laminated Composite Plates. International Conference on Innovation, Sustainability, Technology and Education in Civil Engineering iSTE-CE'2019-13-15 June, 2019, Iskenderun, Hatay/TURKEY, 1360-1367.
• Noor AK., 1975. Stability of Multilayered Composite Plates, Fibre Science Technology, 8(2), p.81-89.
• Phan, N.D. ,Reddy, J.N. 1985. Analysis of Laminated Composite Plates Using a Higher-order Shear Deformation Theory. International Journal for Numerical Methods in Engineering. 21, p. 2201-2219.
• Qatu M. S., Leissa A. W. 1991.Free vibrations of completely free doubly-curved laminated composite shallow shells, Journal of Sound and Vibration, Vol.151, No.1, pp.9-29.
• Qatu MS., 2004. Vibration of laminated shells and plates. Elsevier, Netherlands.
• Reddy JN, Khdeir AA., 1989. Buckling and vibration of laminated composite plates using various plate theories. AIAA J.12,1808–17.
• Reissner E., 1945. The effect of transverse shear deformation on the bending of elastic plates. J Appl Mech.12, 69–77.
• Sayyad A, Ghugal Y., 2014. “Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory”. Latin American Journal of Solids and Structures., 11, p.1298-1314.
• Setoodeh, A. R., Karami, G. 2004. “Static, Free Vibration and Buckling Analysis of Anisotropic Thick Laminated Composite Plates on Distributed and Point Elastic SupportsUsing a 3-D Layer-wise FEM.” Engineering Structures. 26, p.211-220.
• Sophy M., 2013. Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions. Compos Struct. 99,76-87.