Performance of composite implicit time integration scheme for nonlinear dynamic analysis

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Abstract

This paper presents a simple implicit time integration scheme for transient response solution of structures under large deformations and long-time durations. The authors focus on a practical method using implicit time integration scheme applied to structural dynamic analyses in which the widely used Newmark time integration procedure is unstable, and not energy-momentum conserving. In this integration scheme, the time step is divided in two substeps. For too large time steps, the method is stable but shows excessive numerical dissipation. The influence of different substep sizes on the numerical dissipation of the method is studied throughout three practical examples. The method shows good performance and may be considered good for nonlinear transient response of structures. Copyright © 2008 W. T. Matias Silva and L. Mendes Bezerra.

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Matias Silva, W. T., & Mendes Bezerra, L. (2008). Performance of composite implicit time integration scheme for nonlinear dynamic analysis. Mathematical Problems in Engineering, 2008. https://doi.org/10.1155/2008/815029

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