Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 815029, 16 pages
Research Article

Performance of Composite Implicit Time Integration Scheme for Nonlinear Dynamic Analysis

William Taylor Matias Silva and Luciano Mendes Bezerra

Department of Civil Engineering, University of Brasília, 70910-900 Brasília, Brazil

Received 26 February 2008; Accepted 12 May 2008

Academic Editor: Paulo Gonçalves

Copyright © 2008 William Taylor Matias Silva and Luciano Mendes Bezerra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.