A nonlinear analysis of stiffened laminated composite panels under various boundary conditions is presented. The nonlinear differential equations, expressed in terms of the out-of-plane displacement and the Airy stress function, are solved by separating the variables into eigenfunctions in conjunction with a finite-difference scheme. The vibration and buckling eigenfunctions of an isotropic beam are examined as the displacement functions, and a modified Galerkin procedure are used to minimize the error involved in the field equations, the continuity requirements and the boundary conditions. Results are presented for the isotropic and anisotropic cases, with different boundary conditions.
Get full access to this article
View all access options for this article.
References
1.
Agarwal, B. L.1982. “Post-Buckling Behavior of Composite Stiffened Curved Panels Loaded in Compression,”Experimental Mechanics, pp. 231–236.
2.
Almroth, B. O., and F. A. Brogan. 1980. “The STAGS Computer Code.” NASA CR-2980.
3.
Bathe, K. J. 1981. “ADINA: A Finite Element Program for Automatic Dynamic Incremental Nonlinear Analysis.” Rep. AE 81–1. Sweden.
4.
COSMOS7. 1984. Structural Research and Analysis Corporation, Santa Monica.
5.
Hearn, A. C. 1985. REDUCE—User's Manual, Version 3.2. Santa Monica: The Rand Corporation CP78.
6.
Leissa, A. W. 1985. “Buckling of Laminated Composite Plates and Shell Panels.” AFWAL-TR-853069 AF Wright Aeronautical Lab.
7.
MacNeal, R. H. 1986. MSC/NASTRAN Application Manual V. Los Angeles: MacNeal-Schwerdler Corporation.
8.
Sheinman, I.1987. “Nonlinear Equation of Laminated Panels with Laminated Stiffeners,”Composite Structures, 8:287–292.
9.
Sheinman, I. and Y. Frostig. 1988a. “Post-Buckling Analysis of Stiffened Laminated Panels.”J. of Applied Mechanics, 55(3):635–640, ASME.
10.
Sheinman, I., Y. Frostig and A. Segal. 1988b. “Bifurcation Buckling Analysis of Stiffened Laminated Composite Panels,” in Buckling of Structures. I. Elishakoff et al., eds. Amsterdam: Elsevier Science Publisher B.V., pp. 355–380.
11.
Starnes, J. H., Jr., N. F. Knight, Jr. and M. Rouse. 1985. “Post-Buckling Behavior of Selected Flat Stiffened Graphite-Epoxy Panels Loaded in Compression,”AIAA Journal, 23(8):1236–1246.
12.
Tvergaard, V.1973. “Imperfection-Sensitivity of a Wide Integrally Stiffened Panel under Compression,”Int. J. Solids Structures, 9:177–192.
13.
Williams. J. G. and M. Stein. 1976. “Buckling Behavior and Structural Efficiency of Open-Section Stiffened Composite Compression Panels,”AIAA Journal, 14(11):1618–1626.
14.
Zhang, Y. and F. L. Matthews. 1983. “Initial Buckling of Curved Panels of Generally Layered Composite Materials,”Composite Structures. 1:3–30.
15.
Zhang, Y. and F. L. Matthews. 1985. “Large Deflection Behavior of Simply Supported Laminated Panels under In-Plane Loading,”J. of Applied Mechanics, 52:553–558, ASME.
