damage identification in a multi-dof system under uncertainties using optimization algorithms

In this study, four optimization algorithms are applied to identify the damage in a multi-dof dynamical system composed of masses, springs, and dampers. the damage is introduced artificially by choosing a lower value for the stiffness. the applied algorithms include nelder-mead simplex, bfgs quasi-newton, interior point, and sequential quadratic programming - sqp. in addition, some different strategies to identify damage are applied. first, a deterministic analysis is performed to identify the damage; i.e, the values of the stiffnesses. then, random forces are considered, and finally, the stiffness values are considered uncertain and the different strategies are compared.