It consists in substructuring and condensing each substructure by transforming modal co-ordinates into physical coordinates.

Basically, this method implies defining a Ritz transformation which can represent the dynamic behaviour of each substructure, using its fixed-junction or free-junction modes associated with the static modes. We may then describe the behaviour of a substructure appropriately from a condensed model defined as a function of the physical dofs only. These dofs are divided into junction dofs useful for coupling, and a few internal dofs which may a priori be partly fixed.

Two numerical examples are presented to illustrate the capacity of the proposed method as compared to the classical component modal synthesis methods : Craig-Bampton's fixed-interface method. Guyan's static condensation method and a free-interface variant of MacNeal's method.

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