Dynamic Structural Analysis with Substructures.

A method for dynamic structural analysis with substructures and the subspace iteration is developed. The method does not use component mode synthesis concepts. Therefore eigenproblem for each substructure is not solved. The method uses only substructural stiffness matrices and the mass matrix for each finite element of the system. The mass matrix for the entire structure or any of its substructures need not be computed. However, efficiency of the method is improved when mass matrix for the entire structure is computed and saved in the computer core. Unlike component mode substitution methods, no approximating assumptions are made. Thus, natural frequencies and mode shapes for the finite element model employed are the same with or without the substructuring algorithm. This is demonstrated by computing first ten natural frequencies and the corresponding mode shapes for an open truss helicopter tail-boom structure. Author