Application of Wilson-Ritz vectors in dynamic substructuring

The basic problems of how to define the spatial load distribution vector when the load-dependent Ritz vectors are applied to the dynamic substructuring using the Component Mode Synthesis (CMS) methods, are identified and discussed. A new definition for spatial load distribution vectors is proposed to avoid the loss of some lower substructural modes if the Wilson-Ritz algorithm is directly used in the modal analysis. The transformation coordinates for the fixed-interface and the free-interface substructures are introduced using the Wilson-Ritz vectors as a substitute of the natural modes of the substructures. Numerical examples validate the new method and demonstrate its accuracy.