Many civil and mechanical engineering structures exhibit nonlinear hysteretic behavior when subject to dynamic loads. The modeling and identification of non-linear hysteretic systems is a practical but challenging problem encountered in the engineering field. To overcome such a challenge, this book proposes the application of a reduced-order finite element model in conjunction with a recently proposed damage detection technique, referred to as the adaptive quadratic sum-square error with unknown inputs (AQSSE-UI). The identification process is divided into two steps: 1) static condensation...