Dynamic superelement substructure method in forced vibration analysis

Abstract

A new mode superposition substructure method with dynamic superelements is presented for forced vibration analysis of multilevel substructure systems. The algorithms derived in this paper are further development on the studies of dynamic superelement method for free vibration analysis by the authors. Thus a compatible method for both free vibration and forced vibration analyses of substructure systems with multilevel superelements has been implemented. In this method, one can take full advantage of a simple static substructure method and eliminate the errors resulting from static condensations. It has no restriction on substructuring. The formulations are frequency independent and not involved with nonlinear eigen problems. Therefore, the method is adapted to arbitrary multilevel substructure systems for free vibration and forced vibration analyses with both simplicity and accuracy.