Modal synthesis: Generalization of MacNeal's method. Theoretical basis (Q801738)

In this paper, a theoretical basis of the generalization of MacNeal's modal synthesis method [\textit{R. H. MacNeal}, A hybrid method of component mode synthesis, Comput. Struct. 1 (4) (1971)] is presented. This method allows the computation of eigenvectors and eigenfrequencies of a structure from the eigenfrequencies and modes of the subcomponents of this structure, already independently analysed. These frequencies and modes may have been obtained by computation or measured. A set of linear equations expresses the assembly conditions of the subsets. There are in this method no restrictions on the boundary conditions of the subsets. They may have been analysed free-free or supported. The global system may also be supported or not. This theoretical formulation has been introduced and tested in the ASKA program.