The component-mode synthesis method is usually adopted in order to reduce t
he number of degrees-of-freedom of structures composed of two or more subst
ructures without loosing the main physical characteristics of the whole str
ucture. Many approaches of this method have been proposed in the literature
. These approaches differ from each other for the boundary conditions which
are imposed at the interface of the two substructures. In this paper four
variants of interface boundary conditions are examined. For each set of con
ditions a suitable coordinate transformation, compatible with the condition
s at the boundary degrees-of-freedom between the two substructures, is pres
ented. Moreover, in the numerical applications a comparison between the fou
r component-mode synthesis variants here proposed with respect to the same
variants proposed in the literature is presented. The better accuracy of th
e proposed approach is shown.