Analytical calculation of local buckling and post-buckling behavior of isotropic and orthotropic stiffened panels

• Published in: Thin-walled structures Vol. 49; no. 3; pp. 422 - 430
• Main Authors: Stamatelos, D.G., Labeas, G.N., Tserpes, K.I.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.03.2011; Elsevier
• Subjects: Analytical solution; Boundary conditions; Buckling; Elastic restraint edge; Energy solution; Exact sciences and technology; Finite element method; Fundamental areas of phenomenology (including applications); Local buckling; Mathematical analysis; Methodology; Panels; Physics; Plates; Post-buckling; Segments; Solid mechanics; Stiffened panel; Structural and continuum mechanics; Local buckling; Post-buckling; Energy solution; Elastic restraint edge; Stiffened panel; Analytical solution; Stratified material; Localized mode; Modeling; Composite material; Postbuckling; Reinforced structure; Orthotropic material; Reinforced plate; Reinforced shell; Finite element method; Elastic support; Two point boundary value problem; Orthotropic plate; Buckling; Stiffener
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2010.11.008

A methodology for the analytical assessment of local buckling and post-buckling behavior of isotropic and orthotropic stiffened plates is presented. The approach considers the stiffened panel segment located between two stiffeners, while the remaining panel is replaced by equivalent transverse and rotational springs of varying stiffness, which act as elastic edge supports. A two-dimensional Ritz displacement function (pb-2 Ritz) is utilized in the solution of the local buckling problem of isotropic and laminated symmetric composite panels with arbitrary edge boundary conditions. The buckling analysis of the segment provides an accurate and conservative prediction of the panel local buckling behavior. Consequently, the developed methodology is extended in the prediction of the post-buckling response of stiffened panels of which the skin has undergone local buckling. Of high importance for the calculation of the post-buckling behavior is the selection of appropriate boundary conditions for the structural members analyzed. A comparison of the present methodology results to respective finite element (FE) results has shown a satisfactory agreement. The manuscript deals with the development of an ► Analytical methodology for estimating the local buckling and post-buckling behavior of isotropic and orthotropic stiffened plates. ► Elastic restraints were utilized as boundary conditions with varying stiffness across the edges. ► The buckling analysis concerns the skin segment and provides an accurate and conservative prediction of the panel local buckling behavior. ► A comparison of the present methodology results to respective finite element (FE) results has shown a satisfactory agreement.