Abstract
The critical link between two powerful modeling techniques, component mode synthesis and large admissible perturbation theory, Is established. This new redesign process allows structural systems that are composed of several substructures to be redesigned. The process is developed in three steps. First, the analytical first-order perturbation relationships between the structural system eigenvalues and the eigenvalues of each independent substructure are developed. Second, a transformation matrix is developed for each perturbation relationship, then combined to form the ultimate structural transformation matrix. Third, a minimization problem is defined that uses the ultimate transformation matrix as a set of constraint equations. The result of this minimization is a set of changes to the substructure eigenvalues that approximately affect the objective changes to the structural system eigenvalues. The success of the redesign process is demonstrated by an isolated platform example. The changes in the substructure eigenvalues are predicted via the redesign process, then substituted back into the full nonlinear equations for the structural system, and the results are discussed. This work forms the basis for future redesign developments when other static and dynamic objectives are to be achieved for structural systems.
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