Truss Damage Detection Using Modified Differential Evolution Algorithm with Comparative Studies

Abstract

In this paper, an efficient numerical algorithm is developed for the damage detection of planar and space truss structures based on the modified differential evolution algorithm (mDE) and vibration data. For this purpose, the mathematical programming of the finite element based on the force method and the singular value decomposition technique is presented. The general equilibrium equations in which unknown member forces and reaction forces are taken into account are formulated. The compatibility equations in terms of forces are explicitly presented by using the singular value decomposition method. The modified differential evolution algorithm (mDE) is used as an optimization algorithm of damage detection. The objective function for damage detection is based on vibration data such as natural frequencies and mode shapes. The feasibility and efficiency of the present method are compared with a genetic algorithm (GA) and a particle swarm optimization (PSO) for example. The numerical results show that the proposed strategy based on force method using mDE and vibration data can provide a reliable tool on determining the sites and extents of multiple damages of truss structures.