Abstract
This paper addresses optimal design of simply supported symmetrically laminated composite plates with central circular holes. The design objective is the maximization of the buckling load, and the design variable is considered as the fiber orientation. The first-order shear deformation theory is used for the finite element analysis. The study is complicated because the effects of bending–twisting coupling are also included for the buckling optimization. The modified feasible direction method is used to solve the optimization problems. Finally, the effect of different number of layers, boundary conditions, width-to-thickness ratio, plate aspect ratios, hole daimeter-to-width ratio, and load ratios on the results is investigated.
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References
Bathe KJ (1982) Finite element procedures in engineering analysis. Prentice-Hall, Englewood Cliffs, NJ
Britt VO (1993) Shear and compression buckling analysis for anisotropic panels with centrally located elliptical cutouts. Proceedings of the 33rd AIAA, ASME, ASCE, AHS, ASC Structures, Structural Dynamics and Materials Conference, pp 2240–2249, Apr 1993
Hyer MW, Lee HH (1991) The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes. Compos Struct 18(3):239–261
Khot NS, Zweber JV (2003) Design of flutter characteristics of composite wings using frequency constraint optimization. J Aerosp Eng 16(1):19–30
Lee HH, Hyer MW (1992) Postbuckling failure of composite plates with holes. Proceedings of the 33rd AIAA, ASME, ASCE, AHS, ASC Structures, Structural Dynamics and Materials Conference, pp 201–211, Apr 1992
Lee YJ, Lin HJ, Lin CC (1989) A study on the buckling behavior of an orthotropic square plate with a central circular hole. Compos Struct 13(3):173–188
Lin CH, Kuo CS (1989) Buckling of laminated plates with holes. J Comp Mater 23:536–553
Nagendra S, Gürdal Z, Haftka RT (1994) Buckling and failure characteristics of compression-loaded stiffened composite panels with a hole. Compos Struct 28(1):1–7
Nemeth MP (1996) Buckling and postbuckling behavior of square compression-loaded graphite–epoxy plates with circular cutouts. Technical paper, NASA TP-3007
Noor AK, Kim YH (1996) Buckling and postbuckling of composite panels with cutouts subjected to combined edge shear and temperature change. Comput Struct 60(2):203–222
Rouse M (1990) Effect of cutouts or low-speed impact damage on the postbuckling behavior of composite plates loaded in Shear. Proceedings of the 31st AIAA, ASME, ASCE, AHS, ASC, Structures, Structural Dynamics and Materials Conference, pp 877–891, Apr 1990
Sahin OS (2005) Thermal buckling of hybrid angle-ply laminated composite plates with a hole. Compos Sci Technol 65:1780–1790
Vellaichamy S, Prakash BG, Brun S (1990) Optimum design of cutouts in laminated composite structures. Comput Struct 37(3):241–246
Walker M (1999) Optimal design of symmetric laminates with cut-outs for maximum buckling load. Comput Struct 70:337–343
Whitney JM (1973) Shear correction factors for orthotropic laminates under static load. J Appl Mech 302–304
Yasui Y (1991) The buckling of rectangular composite plates with cutout under uniaxial and biaxial compression. Proceedings of the 8th International Conference on Composite Materials, pp 4-B-1–4-B-8, July 1991
Yazici M, Ozcan R, Ulku S (2003) Buckling of composite plates with U-shaped cutouts. J Compos Mater 37(24):2179–2195
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Topal, U., Uzman, Ü. Maximization of buckling load of laminated composite plates with central circular holes using MFD method. Struct Multidisc Optim 35, 131–139 (2008). https://doi.org/10.1007/s00158-007-0119-1
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DOI: https://doi.org/10.1007/s00158-007-0119-1