Modal Analysis of Multiple Eigenvalue Systems by Data Dependent Systems

Abstract

This note outlines an extension of the Data Dependent Systems (DDS) methodology to the modal analysis of vibratory systems with eigenvalues of arbitrary multiplicity. DDS [1, 2] is a time-series approach to system analysis that combines a rational modeling strategy with elements of linear system theory. The use of an appropriate state-space setting makes it a powerful tool for system identification, and the approach has been successfully applied to the modal characterization of mechanical systems in references [2–4], which provide many examples with real life data.