Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 368309, 15 pages
Research Article

About the Use of the HdHr Algorithm Group in Integrating the Movement Equation with Nonlinear Terms

Civil Engineering Department, São Paulo State University, Avenue Eng. Luiz Edmundo C. Coube, 14-01, Vargem Limpa, 17033-360, SP, Bauru, Brazil

Received 14 November 2008; Revised 14 May 2009; Accepted 29 August 2009

Academic Editor: Giuseppe Rega

Copyright © 2009 Heitor Miranda Bottura and Antonio Carlos Rigitano. 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 work summarizes the HdHr group of Hermitian integration algorithms for dynamic structural analysis applications. It proposes a procedure for their use when nonlinear terms are present in the equilibrium equation. The simple pendulum problem is solved as a first example and the numerical results are discussed. Directions to be pursued in future research are also mentioned.