Stochastic response of steel columns subjected to lateral blast based on modified single degree of freedom (MSDOF) method

Abstract

This paper aims to evaluate the stochastic response of steel columns subjected to blast loads using the modified single degree of freedom (MSDOF) method, which assessed towards the conventional single degree of freedom (SDOF) and the experimentally validated Finite Element (FE) methods(LSDYNA). For this purpose, special attention is given to calculating the response of H-shaped steel columns under blast. The damage amount is determined based on the support rotation criterion, which is expressed as a function of their maximum lateral mid-span displacement. To account for uncertainties in input parameters and obtain the failure probability, the Monte Carlo simulation (MCS) method is employed, complemented by the Latin Hypercube Sampling (LHS) method to reduce the number of simulations. A parametric analysis is hence performed to examine the effect of several input parameters (including both deterministic and probabilistic parameters) on the probability of column damage as a function of support rotation. First, the MSDOF method confirms its higher accuracy in estimating the probability of column damage due to blast, compared to the conventional SDOF. The collected results also show that uncertainties of several input parameters have significant effects on the column behavior. In particular, geometric parameters (including cross-sectional characteristics, boundary conditions and column length) have major effect on the corresponding column response, in the same way of input blast load parameters and material properties.

Keywords

Stochastic response / Steel column / Lateral blast / Uncertainty / Modified single degree of freedom (MSDOF) method / Parametric analysis

Relevance to resilience

The findings from this study highlight key aspects of structural resilience by demonstrating how steel columns respond to blast loads under uncertain conditions. By using the modified single-degree-of-freedom (MSDOF) method and validating it against experimental results and finite element method-based analyses, the research shows that a more accurate assessment of damage probability can be achieved compared to the conventional SDOF method. The incorporation of Monte Carlo simulations and Latin Hypercube Sampling underscores the importance of accounting for variability in material properties, geometric features, and load conditions to predict the column's response. Ultimately, this approach contributes to structural engineering practices aimed at enhancing the robustness and reliability of buildings under extreme events like blast, ensuring they can better withstand and recover from such impacts.

Funding statement

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

CRediT authorship contribution statement

Mohammad Momeni: Writing - original draft, Validation, Software, Methodology, Investigation, Conceptualization. Chiara Bedon: Writing - original draft, Supervision, Software, Methodology, Investigation, Conceptualization. Mohammad Ali Hadianfard: Writing - original draft, Supervision, Software, Methodology, Investigation, Conceptualization. Sina Malekpour: Writing - original draft, Software, Investigation, Conceptualization.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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