The effect of different geometrical imperfection of buckling of composite cylindrical shells subjected to axial loading
Tóm tắt
Advanced lightweight laminated composite shells are increasingly being used in modern aerospace structures to enhance their structural efficiency and performance. Such thin-walled structures are susceptible to buckling when subjected to static and dynamic compressive stresses. This paper reports on the numerical (finite element method (FEM)) study on buckling of carbon fibre-reinforced plastic (CFRP) layered composite cylinders under displacement and load-controlled static axial compression. The effects of geometric properties, lamina lay-up, amplitudes of imperfection and parametric research of the shape (square, circular) and the dimensions (axial and circumferential sizes, diameter) of the opening on the strength of the cylinders under compression were studied. The measurement of imperfections on the cylindrical surface is achieved using the interpolation method and Fourier series. The analysis indicates that the critical load is sensitive to the circumferential size of the opening. The function (critical load-circumferential size of the opening) is linear for large openings and independent of the geometrical imperfections of the shell. However, for small openings, it is necessary to take into account the coupling between the initial geometrical imperfections and the openings. The linear approach does not fit due to the importance of the evolution of the displacements near the openings. Also, it was shown that the buckling behaviour of thin composite cylindrical shells can be evaluated accurately via modelling to determine the imperfections and the material properties in FEM.
Tài liệu tham khảo
Almroth, BO, & Holmes, AM. (1972). Buckling of shells with cutouts. Experimental and analysis. Journal of Solids Structures, 8, 1057–1566.
Bisagni, C. (2000). Numerical analysis and experimental correlation of composite shell buckling and post-buckling. Composite: Part B, 31, 655–667.
Card, MF. (1969). The sensitivity of buckling of axially compressed fibre-reinforced cylindrical shells to small geometric imperfections, NASA TMX-61914.
B. Geier, H. Klein and R. Zimmermann, Buckling tests with axially compressed unstiffened cylindrical shells made from CFRP, in: Buckling of shell structures, on land, in the sea and in the air, Proceedings of the International Conference, J.F. Jullien, ed., INSA Lyon, Elsevier Applied Science, London, New York (September 1991), pp. 498-507
Geier, B, Meyer-Piening, HR, & Zimmermann, R. (2002). On the influence of laminate stacking on buckling of composite cylindrical shells subjected to axial compression. Composite Structures, 55, 467–474.
Hahn, HT, Jensen, DW, Claus, SJ, & Hipp, PA. (1994). Structural design criteria for filament wound composite shells, NASA CR-195125.
Jones, RM. (1975). Mechanics of composite materials (McGraw hill).
Kheyrkhahan, M, & Peek, R. (1999). Postbuckling analysis and imperfection sensitivity of general shells by the finite element method. International journal of solids and structures, 36(18), 2641–2681.
Knodel, P, & Schulz, U. (1988). Stabilite´de chemine´es d’acier a` ouvertures dans les tuyaux. Stahlbau (Der), 57(1), 13–21.
Koiter, WT. (1970). On the stability of elastic equilibrium. Delft: Doctoral Thesis, 1945. English Translation: AFFDL-TR-70 25.
Leissa, AW. (1985). Buckling of laminated composite plates and shell panels, Report AFWAL-TR-85-3069 (AF Wright Aeronautical Laboratories).
Li, Z-M, & Qiao, P. (2015). Buckling and postbuckling of anisotropic laminated cylindrical shells under combined external pressure and axial compression in thermal environments. Composite Structures, 119, 709–726.
Li, Z-M, & Shen, H-S. (2008). Postbuckling of shear-deformable anisotropic laminated cylindrical shells under axial compression. International Journal of Structural Stability and Dynamics, 8(03), 389–414.
Onoda, J. (1985). Optimal laminate configuration of cylindrical shells for axial buckling. AIAA Journal, 23(7), 1093.
Priyadarsini, R. S., V. Kalyanaraman, and S. M. Srinivasan (2012). Numerical and experimental study of buckling of advanced fiber composite cylinders under axial compression. International Journal of Structural Stability and Dynamics 12, no. 04:401–423.
Samuelson, AL, & Eggwertz, S. (1992). Shell stability handbook (p. 278). London: Elsevier Applied Science.
Schmidt, H, Binder, B, & Lange, H. (1998). Postbuckling strength design of open thin-walled cylindrical tanks under wind load. Thin-Walled Structures, 31(1), 203–220.
Shen, H-S, & Li, QS. (2002). Thermomechanical postbuckling of shear deformable laminated cylindrical shells with local geometric imperfections. International Journal of Solids and Structures, 39(17), 4525–4542.
Singer, J, Arbocz, J, & Weller, T. (2002). Buckling experiments, experimental methods in buckling of thin-walled structures, volume 2, shells, built-up structures, composites and additional topics. Hoboken, NJ, USA: John-Wiley.
Starnes, JH. (1974). The effects of cutouts on the buckling of thin shells. In YC Fung & EE Sechler (Eds.), Thin shell structures (pp. 289–304). Englewood Cliffs, New York: Prentice Hall, Inc.
Tennyson RC (1968). The effect of unreinforced circular cutouts on the buckling of circular cylindrical shells under axial compression. Journal of Manufacturing Science and Engineering 90, no. 4:541–546.
R.C. Tennyson (1975). Buckling of laminated composite cylinders: a review. Composites, 17-24.
Tennyson, RC, & Hansen, JS. (1983). Optimum design for buckling of laminated cylinders. In JMT Thompson & GW Hunt (Eds.), Collapse: the buckling of structures in theory and practice (pp. 409–429). Cambridge: Cambridge University Press.
R.C. Tennyson, K.H. Chan, and D.B. Muggeridge (1971). The effect of axisymmetric shape imperfections on the buckling of laminated anisotropic circular cylinders. Transactions of the Canadian Aeronautics and Space Institute, 4(2):131–139.
Toda, S. (1983). Buckling of cylinders with cutouts under axial compression. Journal of Experimental Mechanics, 3, 414–417.
Tsai, J, Feldman, A, & Stang, DA. (1965). The buckling strength of filament wound cylinders under axial compression, NASA, CR-266.
Weaver, PM. (2000). Design of laminated composite shells under axial compression. Composites Part B, 31(8), 669–679.
Weaver, PM, Driesen, JR, & Roberts, P. (2002). Anisotropic effects in the compression buckling of laminated composite cylindrical shells. Composites Science and Technology, 62, 91–105.
Wullschleger, L, & Meyer-Piening, HR. (2002). Buckling of geometrically imperfect cylindrical shells—definition of a buckling load. International Journal of Nonlinear Mechanics, 37, 645–657.