PROPOSITION OF A NEW APPROACH FOR THE SUBSTRUCTURE METHOD

In this work a new projection basis for the substructure method is presented. This basis uses new correction solutions reducing the numerical of co-ordinates used in the dynamic analysis of a complex structure. For each connexion boundary, a “boundary structure” (whose characteristics are defined using a physical criterion) is associated. The correction solutions proposed here use the normal modes of the “boundary structure”. On this basis, the size of problem and the compute time are reduced. Two structures are studied: a rectangular plate and the planetarium of the science city of Tunisia. The results show that the proposed method gives a good estimation of frequencies in comparison with the full finite element method results.