TL;DR
This paper presents an analytical model for the complex cellular buckling behavior in I-section struts under compression, revealing nonlinear interactions and instability phenomena validated against experimental data.
Contribution
It introduces a variational-based analytical model combining Rayleigh--Ritz and displacement functions to describe interactive buckling in I-section struts.
Findings
Progressive cellular buckling (snaking) identified through numerical continuation.
Model accurately predicts buckling behavior including effects of imperfections.
Reveals highly unstable post-buckling responses in I-section struts.
Abstract
An analytical model that describes the interactive buckling of a thin-walled I-section strut under pure compression based on variational principles is presented. A formulation combining the Rayleigh--Ritz method and continuous displacement functions is used to derive a system of differential and integral equilibrium equations for the structural component. Numerical continuation reveals progressive cellular buckling (or snaking) arising from the nonlinear interaction between the weakly stable global buckling mode and the strongly stable local buckling mode. The resulting behaviour is highly unstable and when the model is extended to include geometric imperfections it compares excellently with some recently published experiments.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.