Saleheh Gerist - PhD candidate of structural engineering, Environmental and civil department, Shiraz University,
Mahmoud Reza Maheri - Professor, Environmental and civil department, Shiraz University,

A three-stage method is presented using Basis Pursuit (BP) and the Particle Swarm Optimization (PSO) technique. Recently, optimization techniques have been employed to solve the damage detection problems. The proposed method needs the first few modal responses of structure. First, a system of equations which relates the damage extent to the structural responses is solved using the BP method. The results of this stage are used as the initial population of PSO algorithm. To reduce the search space of PSO, a micro search operator is embedded in the algorithm to eliminate low damage values. To overcome the noise present in structural responses, a method known as Basis Pursuit De-Noising (BPDN) is also used. The efficiency of the proposed method is investigated by numerical models of a pipe rack and a portal plane frame. The simulation results demonstrate the accuracy and efficiency of the proposed method in detecting multiple damage cases and exhibit its robustness regarding noise.

Structural damage detection, Basis Pursuit, Particle Swarm Optimization, Micro Search, Modal analysis