Mathematical Model Development on the Deformation Behaviour of Symmetric Hexagonal of Various Angles and Square Tubes under Lateral Loading
2013
The purpose of this research is to develop a mathematical model of the collapse behaviour of symmetric hexagonal
tubes. For that, a finite element analysis procedure was conducted using ABAQUS software to determine the
lateral collapse behaviour of symmetric hexagonal of angles, θ = 30°, 45° and 60° and square tubes to compare
the results with the cylindrical tube. Then, a new predictive mathematical model of the lateral collapse behaviour
for the generalized symmetrical geometric tubes is developed based on rigid, perfectly plastic model and the
energy balance method. The newly mathematical model was validated with the simulation method results. It was
discovered that symmetric hexagonal and square tubes performed different deformation behaviour than the
cylindrical tube. Square and symmetric hexagonal with θ = 15° tubes performed Type II deformation behaviour.
Symmetric hexagonal tubes with θ = 30°, 45° and 60° performed Type I with the perfectly plastic collapse
behaviour whereas cylindrical tube performed Type I with strain hardening deformation behaviour. The
mathematical prediction model had managed to model the deformation behaviour of symmetric hexagonal tubes
with θ = 30°, 45° and 60° but failed to model the square and symmetric hexagonal with θ = 15° tubes because
it was the perfectly plastic model which suitable for Type I with perfectly plastic deformation behaviour.
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