Analysis of Vulnerability of Buildings Damaged as a Result of Terrorist Attack: Scenario of Non-Linear Analyses and Multi-Criteria Optimizations

Abstract

The paper develops and presents a new multi-disciplinary methodology for the analysis of vulnerability of buildings exposed to accidental actions due to a terrorist attack. The methodology is based on Non-linear Static Pushover Analyses (NSPA) taking into account the principles of Performance-Based Design (PBD). The stiffness matrix for the impact of vertical actions has been used as the initial stiffness matrix in the non-linear analysis which is used to simulate the collapse of individual ground floor columns, forming several possible scenarios. The stiffness matrix by the end of the analysis which simulates the collapse of individual columns is used as initial stiffness matrix in Non-Linear Static Pushover Analysis. The building's vulnerability has been analyzed based on the calculated global and inter-storey drift, newly developed damage coefficient, and multi-criteria optimization. Prompt, reliable and sufficiently accurate answer can be obtained by using newly developed damage coefficient at the level of entire building in the capacitive domain, from elastic through non-linear and up to the collapse state. On the other hand, the damage scenario which requires priority and/or emergency repairs has been identified using the PROMETHEE multi-criteria optimization and considering the predefined alternatives and criteria. When linking different scientific disciplines (non-linear numerical analyses, failure analyses and multi-criteria optimization) qualitative and quantitative decisions can be made about the vulnerability of buildings with several optimized aspects.