Buckling Simulation: Questions & Answers

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SUMMARY

The discussion focuses on creating a quantitatively accurate simulation of column buckling, specifically applying a compressive axial force to an initially straight column. The user references Euler-Bernoulli and Timoshenko beam theories, noting their limitations in determining the shape of the buckled state, which necessitates nonlinear buckling analysis. The user inquires about the necessity of a finite element solver for this simulation and suggests NASTRAN from Autodesk as a potential tool, seeking confirmation and alternative recommendations.

PREREQUISITES
  • Understanding of Euler-Bernoulli beam theory
  • Familiarity with Timoshenko beam theory
  • Knowledge of nonlinear buckling analysis
  • Experience with finite element analysis (FEA) software
NEXT STEPS
  • Research the capabilities of NASTRAN for nonlinear buckling simulations
  • Explore alternative finite element solvers such as ANSYS or Abaqus
  • Study the concept of the elastica and its applications in buckling analysis
  • Learn about the implementation of perturbations in finite element models
USEFUL FOR

Engineers, researchers, and students involved in structural analysis, particularly those focusing on buckling phenomena and finite element simulations.

casesam
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Hi everyone,
My objective is to create a quantitatively accurate simulation of a column buckling. Ideally, I would like to apply a compressive axial force at or just above the critical load to an initially straight column (perhaps with a small perturbation) and see it transition from the unbuckled state to the first buckled mode. The column will not necessarily have a uniform cross-section.

I have found from studying Euler-Bernoulli beam theory and Timoshenko beam theory that these linear theories can identify the buckling load and provide dynamic equations, but they are indeterminate in finding, say, the correct shape of the buckled state. My understanding is that one must resort to nonlinear buckling for this.

My questions are:
1. Does this mean I need to use some finite element solver to produce this simulation?
2. If so, from what I have read NASTRAN (from autodesk) would be one option for producing this sort of simulation, is this correct? Any better options or other suggestions?

Thanks in advance!
 
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The post buckled shape of the uniform column has been known for a long time. It is called the elastica, and I'm sure you can find the full description on the Internet.
 
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