Abstract

The post buckling of a rectangular slender web in compression has been analyzed. Shapes of a buckling area obtained from the nonlinear analysis have been compared with buckling modes from the linearized problem for various aspect ratios. Effects of initial shape imperfections upon the analysis have been investigated using nonlinear approach. To trace the complete nonlinear equilibrium curves, specialized code based on FEM was created. The Newton-Raphson iteration algorithm was used, load versus displacement control was changed during the process of calculation. Obtained results were verified using Ansys system, in this case arc-length method was activated for overcoming critical points.

Highlights

  • Slender web of rectangular shape has been the simplest, easy to made shape, has been widely used in engineering

  • The geometrically nonlinear theory represents a basis for the reliable description of the post-buckling behaviour of slender web

  • It can be seen that in the first case α is very close to the intersection of the garlands for m = 1 and m = 2. It follows that the postbuckling mode is either 1-1 or 2-1

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Summary

Introduction

Slender web of rectangular shape has been the simplest, easy to made shape, has been widely used in engineering. Such webs occur as parts of marine, automotive and aircraft structures in mechanical engineering, as parts (stiffened webs) of girders in civil engineering. Such webs subjected to the edge compressive loads are susceptible to the buckling due to dominant compressive membrane force within the structure. It is essential to include as many initial imperfections of real web into the solution as possible and determine limit load level more accurately. The geometrically nonlinear theory [1, 2] represents a basis for the reliable description of this problem

Theoretical assumptions
Eigenbuckling - linearized stability analysis
Nonlinear stability analysis
Shape of initial imperfection and its influence of postbuckling
Conclusions

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