Regularization Strategies for Contiguous and Noncontiguous Damage Detection of Structures

Abstract

Regularization strategies have attracted attention in the structural damage detection (SDD) field. However, there is lack of studies on regularization strategies for damage patterns in the existing methods. This paper proposes regularization strategies for contiguous and noncontiguous damages of structures and performs comparative studies. The objective functions are first defined to consider effects of strategies on SDD by adding distinct norm penalties, and then are solved by the particle swarm optimization (PSO). Three numerical simulation models are employed to assess the applicability of three strategies. The results show that the [Formula: see text] norm regularization is suitable for detecting multiple damages, the [Formula: see text] norm regularization performs well in contiguous damages, and the sparsest solutions can be obtained by the [Formula: see text] norm regularization.