TECHNICAL PAPERS
Oct 1, 1990

Postbuckling analysis of stiffened Laminated Curved Panels

Publication: Journal of Engineering Mechanics
Volume 116, Issue 10

Abstract

An analytical solution is presented for the postbuckling behavior of composite laminated stiffened curved panels, whether curved in a longitudinal or lateral direction (not both). The nonlinear equations for the model are based on the Von Karman kinematic approach and consist of equilibrium equations for curved plate, continuity requirements, and boundary conditions. These equations are expressed in terms of the out‐of‐plane displacement and Airy stress functions. The characteristic behavior in the pre‐ and postlimit positions is exploited by using an eigenfunction series in the longitudinal direction (direction of the stiffeners) and a finite difference scheme in the other direction. A modified Galerkin procedure is used to minimize errors involved in the truncated series and the nonfulfillment of the boundary conditions. The solution obtained through this procedure proved to be very efficient compared to general purpose finite element codes, especially when mode interactions and parametric studies are involved.

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References

1.
Agarwal, B. L. (1982). “Post‐buckling behavior of composite stiffened curved panels loaded in compression.” Exper. Mech., 22(6), 231–236.
2.
Almroth, B. O., Brogan, F. A., and Stanley, G. M. (1982). “Structural analysis of general shells, Vol II. User instructions for STAGSC‐1.” Report No. LMSC‐D633879, Lockheed Palo Alto Res. Lab., Palo Alto, Calif.
3.
Anderson, M. S., and Stroud, W. J. (1979). “General panel sizing computer code and its application to composite structural panels.” AIAA J., 17(8), 892–897.
4.
Bauld, N. R., and Khot, N. S. (1982). “A numerical and experimental investigation of the buckling behavior of composite panels.” Comput. Struct., 15(4), 393–403.
5.
Becker, M. L., Palazotto, A. N., and Khot, N. S. (1981). “Instability of composite panel.” J. Aircraft, 18(9), 739–743.
6.
Becker, M. L., Palazotto, A. N., and Khot, N. S. (1982). “Experimental investigation of the instability of composite cylindrical panels.” Exper. Mech., 22(10), 372–376.
7.
Dickson, J. N., Cole, R. T., and Wang, J. T. S. (1980). “Design of stiffened composite panels in the post buckling range.” E. M. Leone, D. W. Oplinger, and J. J. Burke, eds., Proc. Conf. Fibrous Composites in Struct. Design, 313–327.
8.
Hui, D. (1985). “Asymmetric post‐buckling of symmetrically laminated cross‐ply, short cylindrical panels under compression.” Compos. Struct., 3(1), 81–95.
9.
Hui, D., and Du, I. H. Y. (1987). “Imperfection‐sensitivity of long antisymmetric cross‐ply cylindrical panels under shear loads.” ASME J. Appl. Mech., 54(2), 292–298.
10.
Hui, D., Tennyson, R. C., and Hansen, J. S. (1981). “Mode interaction of axially stiffened cylindrical shells: Effect of stringer axial stiffness, torsional rigidity and eccentricity.” ASME J. Appl. Mech., 48(4), 915–922.
11.
Knight, N. F., and Starnes, J. H. (1985). “Post‐buckling of selected curved stiffened graphite epoxy panels loaded in axial compression.” Proc. AIAA/ASME/ASCE/AHS SDM Conf., 142–158.
12.
Knight, N. F., Starnes, J. H., and Waters, W. A. (1986). “Post‐buckling behavior of selected graphite‐epoxy cylindrical panels loaded in axial compression.” AIAA/ASME/ASCE/AHS SDM Conf. 27th Structures, Structural Dynamics, and Materials Conf., 142–158.
13.
Kobayashi, S., Sumihara, K., and Kayama, K. (1986). “Compressive buckling of graphite‐epoxy laminated curved panels.” ICAS‐86, Int. Council of Aeronautical Sci. 4.2.2, 244–254.
14.
Kudva, N. J., and Agarwal, B. L. (1981). “Postbuckling analysis of stiffened composite shear panels: Theoretical analysis and comparison with experiments.” Advances in aerospace structures and materials, Proc. of the 102nd ASME Winter Annual Meeting, S. S. Wang and W. J. Renton, eds., Washington, D.C., 221–229.
15.
Lashkari, M. (1984). COSMOS7 users manual. Structural Research and Analysis Corp., Santa Monica, Calif.
16.
Leissa, A. W. (1985). “Buckling of laminated composite plates and shell panels.” AFWAL‐TR 853069, Air Force Wright Aeronautical Lab, Wright Patterson Air Force Base, Ohio.
17.
Satyamurthy, K., Khot, N. S., and Bauld, N. R. (1980). “An automated, energy based finite difference procedure for the elastic collapse of rectangular plate and panels.” Comput. Struct., 11(3), 239–249.
18.
Sheinman, I. (1987). “Nonlinear equations of laminated panels with laminated stiffened.” Compos. Struct., 8(4), 287–292.
19.
Sheinman, I., and Frostig, Y. (1988). “Post‐buckling analysis of stiffened laminated panel.” ASME J. Appl. Mech., 55(3), 635–640.
20.
Sheinman, I., Frostig, Y., and Segal, A. (1988). “Bifurcation buckling analysis of stiffened laminated composite panels.” Buckling of structures, I. Elishakoff, J. Arbocz, C. D. Babcock, Jr., and A. Libai, eds., Elsevier Science Publisher, Amsterdam, the Netherlands, 355–380.
21.
Sheinman, I., Frostig, Y., and Segal, A. (1990). “Non‐linear analysis of stiffened laminated panels with various boundary conditions.” J. Compos. Mater., Dec.
22.
Sheinman, I., and Simitses, G. J. (1983). “Buckling and post buckling of imperfect cylindrical shells under axial compression.” Comput. Struct., 17(2), 277–285.
23.
Starnes, J. H., Knight, N. F., and Rouse, M. (1985). “Postbuckling behavior of selected flat stiffened graphite‐epoxy panels loaded in compression.” AIAA J., 23(8), 1236–1246.
24.
Stephens, W. B. (1971). “Imperfection sensitivity of axially compressed stringer reinforced cylindrical panels under internal pressure.” AIAA J., 9(9), 1713–1719.
25.
Tennyson, R. C. (1975). “Buckling of laminated composite cylinders: A review.” Composites, 6(1), 17–24.
26.
Tennyson, R. C. (1986). “Approximation for calculating compressive buckling stress for cylindrical panels.” AIAA/ASME/ASCE/AHS SDM Conf. 27th Structures, Structural Dynamics, and Material Conf., 314–323.
27.
Tvergaard, V. (1973). “Imperfection‐sensitivity of a wide integrally stiffened panel under compression.” Int. J. Solids Struct., 9(1), 177–182.
28.
Whitney, J. M. (1983). “Buckling of anisotropic laminated cylindrical panels.” Proc. AIAA/ASME/ASCE/AHS SDM Conf., 563–568.
29.
Wiggenraad, J. F. M. (1986). “The post‐buckling behavior of blade‐stiffened carbonepoxy panels loaded in compression.” NLR MP 85019U, National Aerospace Lab., The Netherlands.
30.
Wilkins, D. J. (1975). “Compression buckling tests of laminated graphite‐epoxy curved panels.” AIAA J., 13(4), 465–470.
31.
Williams, J. G., and Stein, M. (1976). “Buckling behavior and structural efficiency of open‐section stiffened composite compressed panels.” AIAA J., 14(11), 1618–1626.
32.
Zhang, Y., and Matthews, F. L. (1985). “Large deflection behavior of simply supported laminated panels under in‐plane loading.” ASME J. Appl. Mech., 52, 553–558.

Information & Authors

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 10October 1990
Pages: 2223 - 2236

History

Published online: Oct 1, 1990
Published in print: Oct 1990

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Authors

Affiliations

Izhak Sheinman
Assoc. Prof., Fac. of Civ. Engrg., Technion‐Israel Inst. of Tech., Technion City, Haifa 32 000, Israel
Yeoshua Frostig
Sr. Lect., Fac. of Civ. Engrg., Technion‐Israel Inst. of Tech., Technion City, Haifa 32 000, Israel

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