STRUCTURAL DAMAGE DETECTION USING BASIS PURSUIT AND EARTHQUAKE TIME HISTORY ANALYSIS

In this paper, a new method is proposed for structural damage detection using Basis Pursuit and earthquake time history analysis. The sensitivity matrix of structural responses with respect to elemental damage is established and solved by a new spars recovery method named Basis Pursuit (BP). The Simplex method is chosen as a linear programming method to solve the system of equations. The process detects the damage locations and extents using the time-history responses of structure. The efficiency of the proposed method is investigated using Monte Carlo simulation. The results are compared with Pseudo-inverse method results. The proposed method is applied to a cantilever beam and a planar truss. The proposed method efficiently detects the damage locations and extents. The running time of the proposed method is compared with some other methods. The simulation results demonstrate the roubostness and efficiency of the proposed method.