Direct integration for non-viscous structural systems and its simplification

摘要

Direct integration with Simpson's rule for non-viscous structural systems by using convolution damping model is presented. The non-classical damping model takes the complete velocity history into account through a convolution. This generic time integration method is developed for structural systems with multiple exponential and Gaussian kernel functions. A simplified scheme for direct integration for structural systems with exponential and Gaussian kernel functions is then proposed. Numerical examples are provided to illustrate the accuracy of the dynamic response computed by the proposed integration and the effects of simplified scheme. (C) 2018 Elsevier Ltd. All rights reserved.