Abstract
A hybrid method is presented that combines a Laplace transform technique with a direct integration scheme. The Laplace transform is numerically inverted with an efficient Fast Fourier Transform algorithm. The response determined with the Laplace transform is used to reinitialize a direct integration scheme. The coupling of these solution techniques into a hybrid procedure results in accuracies unattainable with direct integration schemes alone at only a small additional computational cost. The hybrid method was applied to an illustrative problem, the longitudinal response of a rod due to a step load. It was found that the hybrid method retained its accuracy for extremely long response times.
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