Parametrization of reduced-order models based on normal modes

Abstract

This chapter deals with the parametrization of reduced-order models based on dominant and residual fixed-interface normal modes, in terms of model parameters. The division of the original structure is guided by a parametrization scheme, which assumes that the substructure matrices for each of the introduced linear substructures depend on only one of the model parameters. Based on this assumption, a global parametrization of the reduced-order matrices is provided. Invariant issues are discussed that are related to the matrices that account for the contribution of residual normal modes. A pseudo-code is then provided in order to illustrate how the parametrization of the reduced-order matrices is constructed. © 2019, Springer Nature Switzerland AG.