Semi-analytical buckling strength analysis of plates with arbitrary stiffener arrangements

Abstract Buckling of plates with arbitrarily oriented, sniped stiffeners is studied. The main objective is to present and validate an approximate, semi-analytical computational model for such plates subjected to in-plane loading. Estimation of the buckling strength is made using the von Mises’ yield criterion for the membrane stress as the strength limit. The formulations derived are implemented in a Fortran computer code, and numerical results are obtained for a variety of plate and stiffener geometries. The model may handle complex plate geometries, by using inclined stiffeners to enclose irregular plate shapes. The method allows for a very efficient analysis. Relatively high numerical accuracy is achieved with low computational efforts. The results are, in most cases, found to be conservative compared to fully nonlinear finite element analysis results.

[1]  O. F. Hughes,et al.  Inelastic analysis of panel collapse by stiffener buckling , 1994 .

[2]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[3]  Scott T Smith,et al.  Semi-compact steel plates with unilateral restraint subjected to bending, compression and shear , 1999 .

[4]  J. Paik,et al.  A semi-analytical method for the elastic–plastic large deflection analysis of stiffened panels under combined biaxial compression/tension, biaxial in-plane bending, edge shear, and lateral pressure loads , 2005 .

[5]  Samuel Levy,et al.  Bending of Rectangular Plates With Large Deflections , 1942 .

[6]  O. F. Hughes,et al.  Elastic tripping analysis of asymmetrical stiffeners , 1996 .

[7]  Eirik Byklum,et al.  ULTIMATE STRENGTH AND POSTBUCKLING STIFFNESS OF PLATE PANELS SUBJECTED TO COMBINED LOADS USING SEMI-ANALYTICAL MODELS , 2005 .

[8]  Eivind Steen,et al.  Application of the perturbation method to plate buckling problems , 1998 .

[9]  J. Hutchinson,et al.  Buckling of Bars, Plates and Shells , 1975 .

[10]  Eirik Byklum.  Ultimate strength analysis of stiffened steel and aluminium panels using semi-analytical methods , 2002 .

[11]  Jeom Kee Paik,et al.  A semi-analytical method for the elastic-plastic large deflection analysis of welded steel or aluminum plating under combined in-plane and lateral pressure loads , 2001 .

[12]  Gunnar Solland,et al.  Background to DNV Recommended Practice DNV-RP-C201 Buckling Strength of Plated Structures , 2004 .

[13]  Jørgen Amdahl,et al.  A semi-analytical model for global buckling and postbuckling analysis of stiffened panels , 2004 .

[14]  Mark A. Bradford,et al.  Buckling of arbitrary quadrilateral plates with intermediate supports using the Galerkin method , 1998 .

[15]  Eivind Steen.  Buckling of Stiffened Plates using a Shanley Model Approach , 1999 .

[16]  Lars Brubak.  Semi-analytical buckling strength analysis of plates with constant or varying thickness and arbitrarily oriented stiffeners , 2005 .

[17]  Jørgen Amdahl,et al.  A simplified method for elastic large deflection analysis of plates and stiffened panels due to local buckling , 2002 .