Various double component mode synthesis and sub-structuring methods for dynamic mixed FEM

Abstract

This paper presents various sub-structuring and component mode synthesis (CMS) reduction methods for dynamic mixed displacement-stress FEM. The idea is to imagine a new way of reducing a mixed FEM, by splitting the reduction of the displacement and the stress parameters and adapting primal existing modal reduction methods to each field of the mixed model. In this way, we can choose, for each sub-structure, different methods to truncate the displacements, the stresses and even the junction between the sub-structures. The results differ according to the combination of the methods used, and can show extremely promising results that significantly decrease the numerical size of the structures and still keep the benefits of the mixed method.