Naslov
Nonlinear stability analysis of thin-walled frames using UL-ESA formulation

Autori
Turkalj, Goran ; Brnić, Josip

Izvornik
International journal of structural stability and dynamics (0219-4554) 4 (2004), 1; 45-67

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
thin-walled frame ; non-linear stability ; beam element ; non-linear displacement field ; external stiffness approach ; plastic hinges

Sažetak
This work presents a one-dimensional finite element formulation for non-linear analysis of spaced framed structures with thin-walled cross-sections. Applying the updated Lagrangian incremental formulation and non-linear displacement field of thin-walled cross- section, which accounts for restrained warping and includes second-order displacement terms due to large rotation effects, equilibrium equations of a straight beam element are firstly developed. Due to the non- linear displacement field, the geometric potential of semitangential moment is obtained for torsion and bending moments, respectively. In such a way, the joint moment equilibrium conditions of adjacent non- collinear elements are provided. Force recovering is performed according to the external stiffness approach. Material non-linearity is introduced for an elastic-perfectly plastic material through the plastic hinge formation at finite element ends and for this a corresponding plastic reduction matrix is determined. The interaction of element forces at a hinge and the possibility of elastic unloading are taken into account. The effectiveness of the numerical algorithm discussed is validated through the test problem.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo, Temeljne tehničke znanosti

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