Identification, reduction, and refinement of model parameters by theeigensystem realization algorithm

A new identification scheme is developed to determine model parameters of vibrating structures from experimental data. The eigensystem realization algorithm, which forms the basis for a rational choice of model size determined by the singular values and accuracy indicators, is exploited and extended here to identify the mass, damping, and stiffness matrices directly from the singular value decomposition of the Hankel matrix. This approach provides a closed-loop identification framework that feeds back the output of eigensystem realization algorithm (ERA) and modifies the elements and the dimensions of the matrices accordingly by incorporating the model reduction and model refinement algorithm developed in this paper.