Component mode synthesis (CMS) based on an enriched ritz approach for efficient structural optimization

Abstract

This paper presents a new method to improve the standard superelement reduction methods by taking into account a priori information concerning the potential structural modifications, thus allowing the same transformation to be used throughout the optimization process. The aim is to create a single enriched model reduction transformation that preserves the precision of the reduced substructure model throughout the optimization process. The approach consists firstly in extending the standard condensation basis by a set of optimized static residual and secondly, in eliminating the associate coordinates from the reduced system. The proposed method can be used with any condensation procedure, including both direct reductions and component mode synthesis approaches with any kind of substructure natural modes; free–free, clamped or hybrid modes.