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

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 equ...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2017-11, Vol.473 (2207), p.20170583-20170583
Main Authors: Bai, L., Wang, F., Wadee, M. A., Yang, J.
Format: Article
Language:English
Subjects:
Buckling
Cellular structure
Cold-formed steel
Continuity (mathematics)
Differential equations
Equilibrium equations
Mathematical analysis
Mathematical models
Mode Interaction
Nonlinear Mechanics
Rayleigh-Ritz method
Snaking
Structural Stability
Struts
Thin-Walled Structures
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Summary: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.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2017.0583