Towards an optimal substructuring method for model reduction

Abstract

Substructuring methods have been studied since 1960s. The modes of subsystems associated with the lowest frequencies are typically retained. This mode selection rule is largely heuristic. In this paper, we use a moment-matching analysis tool to derive a new mode selection criterion, which is compatible to the one recently derived by Givoli et al using Dirichlet-to-Neumann (DtN) map as an analysis tool. The improvements of the new mode selection criterion are demonstrated by numerical examples from structural dynamics and MEMS simulation. © Springer-Verlag Berlin Heidelberg 2006.