The important modes of subsystems: A moment-matching approach

Substructure coupling methods, such as the component mode synthesis (CMS) method, have been studied in structural dynamics analysis since 1960s. The modes of subsystems associated with the lowest frequencies are typically retained in these methods. In this paper, we present a coupling-matrix based mode selection scheme for the CMS method, referred to as the CMS method. This new scheme is derived using a moment-matching principle defined on the interface between substructures. It is compatible to the one in recently proposed optimal modal reduction (OMR) method due to Givoli et al. The improvements of the CMS method to the CMS and OMR methods are demonstrated by numerical examples from structural dynamics in both frequency and time domains. Copyright q 2006 John Wiley & Sons, Ltd