Recursive identification of modal participation in substructuring applications

The utility of modal models in substructuring applications is well known. A recursive scheme for identifying the contributions of subsystem modes to the coupled system is presented. The modal contributions are characterised by evaluating an index based on the difference in the frequency response functions (FRFs), at arbitrarily selected frequencies of interest, between the coupled system containing all available modes and a series of coupled systems with reduced modes. It is shown that the contribution of the subsystem modes can be quantified by eliminating one mode at a time, performing coupling, and evaluating the FRFs at the frequencies of interest.