Effective Computational Strategy for Predicting the Response of Complex Systems

Abstract

Abstract : An effective computational strategy is developed for generating the response of complex systems using (small or large) perturbations from the response of a simple structure (or a simpler mathematical/discrete model of the original structure). Two general approaches are developed for selecting the simpler model and establishing the relations between the original and simpler models. The two approaches are: decomposition or partitioning strategy, and hierarchical modeling strategy. Two effective partitioning strategies are used. The first is based on uncoupling of load-carrying mechanisms, and the second is based on symmetry transformations. The hierarchical modeling used is a predictor-corrector iterational process based on using a simple mathematical model in the predictor phase and correcting the response using a more accurate mathematical model. The strategies have been applied to several problems including: thermal buckling and postbuckling of multilayered composite plates; and nonlinear dynamic analysis of composite shells. Structure, Modeling, Buckling.