Sucessive Matrix Inversion Method for Reanalysis of Engineering Structural Systems

摘要

Over the past several decades, numerous structural analysis techniques have been developed to represent physical systems behavior more realistically, and the structural models, therefore, have become larger and more complex. Even though modern computer power has increased significantly, cost of computational analysis has been a major restrictive factor in a structural system design involving multiple disciplines and repetitive simulations. A new reanalysis technique is developed. The successive matrix inversion (SMI) method is most suitable for reanalysis of structures. The SMI method reproduces exact solutions for any localized modification of the initial system. Several numerical examples are given to demonstrate the efficiency of this method.