Probabilistically modelled geometrical imperfections for reliability analysis of vertically loaded steel frames

Probabilistically modelled geometrical imperfections for reliability analysis of vertically loaded steel frames

Článek WoS

The article explores the stochastic modelling of 3D steel frames under static vertical load, with a main focus on random initial geometrical imperfections. The random input parameters for initial geometrical imperfections are derived from the tolerance criteria in accordance with European standard. In order to derive statistical parameters from the corresponding standard tolerances, two methods noted as #RSS (random storey sway) and #RSP (random storey position) have been utilized and compared. Both of these methods are used along with the firstorder reliability method (FORM) and the advanced finite element method (FEM) - geometrically and materially nonlinear imperfect analysis (GMNIA) to numerically analyse several geometries of steel frame structures. Ultimate resistances of these structures are monitored and basic sensitivity studies are conducted. The results are also compared with the deterministic approach of the European standard. The stochastic approach of the FORM to estimate the ultimate resistance of steel frame structures serves as a verification tool of the classic, in engineering praxis widely used, deterministic approach. This study provides useful provisions for the advanced numerical analyses of steel frames of various geometries. Additionally, the estimations of ultimate resistance by the deterministic European standard approach is verified for selected frame geometries.

The article explores the stochastic modelling of 3D steel frames under static vertical load, with a main focus on random initial geometrical imperfections. The random input parameters for initial geometrical imperfections are derived from the tolerance criteria in accordance with European standard. In order to derive statistical parameters from the corresponding standard tolerances, two methods noted as #RSS (random storey sway) and #RSP (random storey position) have been utilized and compared. Both of these methods are used along with the firstorder reliability method (FORM) and the advanced finite element method (FEM) - geometrically and materially nonlinear imperfect analysis (GMNIA) to numerically analyse several geometries of steel frame structures. Ultimate resistances of these structures are monitored and basic sensitivity studies are conducted. The results are also compared with the deterministic approach of the European standard. The stochastic approach of the FORM to estimate the ultimate resistance of steel frame structures serves as a verification tool of the classic, in engineering praxis widely used, deterministic approach. This study provides useful provisions for the advanced numerical analyses of steel frames of various geometries. Additionally, the estimations of ultimate resistance by the deterministic European standard approach is verified for selected frame geometries.

Multi -story steel frames; Initial geometric imperfection; Erection tolerances; Correlations; First order reliability method; Geometrically nonlinear analysis

Multi -story steel frames; Initial geometric imperfection; Erection tolerances; Correlations; First order reliability method; Geometrically nonlinear analysis

JINDRA, D.; KALA, Z.; KALA, J.

2025

29.03.2024

ELSEVIER SCI LTD

London

1873-5983

Journal of Constructional Steel Research

217

06.2024

Spojené království Velké Británie a Severního Irska

1

15

15

https://www.sciencedirect.com/science/article/abs/pii/S0143974X24001779