Approximate buckling strength analysis of arbitrarily stiffened, stepped plates

Abstract

A computationally efficient method for the elastic buckling and buckling strength analysis of in-plane biaxial and shear loaded stiffened plates with varying, stepwise constant thickness is presented. The main focus is on biaxial loading cases. The stiffeners may be sniped or end-loaded (continuous), and their orientations may be arbitrary. Both global and local plate buckling modes are captured. The method is semi-analytical and makes use of simplified displacement computations that involve the elastic buckling load (eigenvalue), determined using a Rayleigh-Ritz approach, and finally stress computations using large deflection theory in combination with strength assessment using von Mises' yield criterion as applied to membrane stresses. The displacements are represented by trigonometric functions, defined over the entire plate. The method is implemented into a Fortran computer program, and numerical results, obtained by the method for a variety of plate and stiffener geometries, are compared with corresponding fully nonlinear finite element analysis results. An extension to strength analysis that also includes lateral loading is discussed.

A weighted extended B-spline solver for bending and buckling of stiffened plates

“…Formula (k) in [2], is, however, only valid in the case of the plate buckling into a single buckle. As can be observed from figure 12, for weak stiffeners, the buckled plate displays two buckles, whereas for strong stiffeners, only the plate displays buckling, whereas the stiffener stays straight, similar to what [45] ( figure 6) have found before. For a single buckle the present method gives buckling stresses remarkably close to the approximate formula by [2].…”

Buckling and Post-Buckling of Isotropic and Composite Stiffened Panels: A Review on Analysis and Experiment (2000-2012)

“…The semi-analytical approach was applied to study the buckling and post-buckling field of stiffened plates [109][110][111][112][113][114]. In order to estimate the stochastic distributions and the correlations between the first buckling load (or local buckling load), the global buckling load and the collapse load of stiffened panels, a semi-analytic probabilistic analysis was performed [115].…”

Energy based collocation method to predict progressive damage behavior of imperfect composite plates under compression

“…Several simplified semi-analytical methods have been purposed by Brubak and Hellesland (2007a,b, 2008, 2011 and Brubak et al (2007c) for investigating the strength of stiffened and unstiffened metal plates with imperfection and cutout. Accelerated analysis techniques were proposed by Orifici et al (2008) using FEM tools such as ABAQUS to model the degradation and fracture mechanics of composite stiffened fuselage panel in a postbuckling regime.…”