Nonlinear mode interaction in equal-leg angle struts susceptible to cellular buckling | Zendy

Li Bai | Zendy; Feiliang Wang | Zendy; M. Ahmer Wadee | Zendy; Jian Yang | Zendy

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Nonlinear mode interaction in equal-leg angle struts susceptible to cellular buckling

Author(s) -

Li Bai,

Feiliang Wang,

M. Ahmer Wadee,

Jian Yang

Publication year - 2017

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2017.0583

Subject(s) - buckling , numerical continuation , nonlinear system , rayleigh–ritz method , structural engineering , mode (computer interface) , displacement (psychology) , compression (physics) , materials science , mathematics , mathematical analysis , physics , composite material , engineering , boundary value problem , bifurcation , computer science , psychology , quantum mechanics , psychotherapist , operating system

A variational model that describes the interactive buckling of a thin-walled equal-leg angle strut under pure axial compression 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. Solving the equations using numerical continuation reveals progressive cellular buckling (or snaking) arising from the nonlinear interaction between the weak-axis flexural buckling mode and the strong-axis flexural-torsional buckling mode for the first time - the resulting behaviour being highly unstable. Physical experiments conducted on 10 cold-formed steel specimens are presented and the results show good agreement with the variational model

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