Improved Computational Strategy for Predicting the Response of Complex Systems

摘要

An effective computational strategy has been developed for the analysis of largeand complex structures. The strategy is based on generating the response of the complex structures using large perturbations from that of a lower-order (simpler) model associated with a simpler structure (or a simpler mathematical/discrete model of the original structure). The three key elements of the strategy are: a) mixed (or primitive variable) formulation with the fundamental unknowns consisting of generalized displacements and stress parameters; b) operator splitting, or a reduction method to relate the arrays and degrees of freedom of the original complex structure to those of the simpler system; and c) efficient iterative process for the generation of the response of the complex structure starting from that of the simpler system. The strategy has been successfully applied to a number of linear and nonlinear stress analysis problems, free vibration and nonlinear structural dynamics problems. The strategy was also used to obtain accurate transverse stresses in laminated composite plates and shells, using the two-dimensional first-order shell (plate) theory as the simpler model. Keywords: Abstracts. (kr)