Analysis of elastic-plastic interaction buckling of stiffened panels by spline finite strip method

Abstract This paper presents a theoretical study on the elastic-plastic interaction buckling of imperfect longitudinally stiffened panels under axial loads. A material and geometric nonlinear spline finite strip method is developed to analyse such interaction problems. The initial geometric imperfections and residual stresses due to welding are involved in the analysis. An iterative numerical procedure combining a modified arc-length method and Newton-Raphson iteration is employed for the solution of the nonlinear incremental equilibrium equations and a full range load deflection path is obtained. Numerical results are presented which show that the authors' method is not only an efficient tool but is also accurate in the analysis of large deflection elastic-plastic behaviour of folded plate structures.

[1]  Guo Yan-lin,et al.  Collapse analysis of steel plate by finite strip method , 1991 .

[2]  M. Crisfield.  A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .

[3]  C. D. Bradfield.  An evaluation of the elastic-plastic analyses of steel plates loaded by uniaxial in-plane compression , 1982 .

[4]  Gregory J. Hancock,et al.  Buckling of thin flat-walled structures by a spline finite strip method , 1986 .

[5]  Y. K. Cheung,et al.  STATIC ANALYSIS OF RIGHT BOX GIRDER BRIDGES BY SPLINE FINITE STRIP METHOD , 1983 .

[6]  R. Hobbs,et al.  THE ELASTO-PLASTIC ANALYSIS OF IMPERFECT SQUARE PLATES UNDER IN-PLANE LOADING. , 1977 .

[7]  M A Crisfield.  LARGE-DEFLECTION ELASTO-PLASTIC BUCKLING ANALYSIS OF PLATES USING FINITE ELEMENTS , 1973 .

[8]  Srinivasan Sridharan,et al.  A versatile model for interactive buckling of columns and beam-columns , 1988 .

[9]  W. T. Koiter,et al.  An Alternative Approach to the Interaction between Local and Overall Buckling in Stiffened Panels , 1976 .

[10]  P. J. Dowling,et al.  Large deflection elastoplastic analysis of thin shells , 1985 .

[11]  O. C. Zienkiewicz,et al.  Elasto‐plastic stress analysis. A generalization for various contitutive relations including strain softening , 1972 .

[12]  G. H. Little.  Rapid analysis of plate collapse by live-energy minimisation , 1977 .

[13]  Srinivasan Sridharan,et al.  Performance of axially compressed stiffened panels , 1989 .

[14]  Guo Yan-Lin,et al.  Postbuckling interaction analysis of cold-formed thin-walled channel sections by finite strip method , 1991 .

[15]  Gregory J. Hancock,et al.  INELASTIC BUCKLING ANALYSES OF BEAMS, COLUMNS AND PLATES USING THE SPLINE FINITE STRIP METHOD , 1989 .

[16]  Y. K. Cheung,et al.  Analysis of shallow shells by spline finite strip method , 1983 .