A Time-Step-Modified Linear Complementarity Approach for Analysing a Simply Supported Steel Beams Subjected to Far-Field Blast Loading

This study introduces a new MATLAB subroutine designed to simplify a rigid-plastic model for analysing the dynamic response of steal beam under blast loading. The numerical framework integrates a Linear Complementarity (LC) model to evaluate the impact of loading on skeletal structures. The study aims to enhance the computational, algorithmic and numerical stability of this robust procedure while assessing the response of steel beams subjected to blast loading conditions. The computational results are then validated using experimental and computational examples. The first example seeks a theoretical solution for a steel beam exposed to a uniformly distributed triangular pulse load of varying magnitudes, presenting and contrasting both numerical and theoretical outcomes. In the second example, far-field blast experimental and computational results are compared with predictions from the LCP model. The findings illustrate a strong alignment between the model and experimental data documented in existing literature.