Improving explicit time integration by modal truncation techniques

✍ Scribed by Gutiérrez, Eugenio; Cela, Juan José López

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 162 KB
• Volume: 27
• Category: Article
• ISSN: 0098-8847
• DOI: 10.1002/(sici)1096-9845(199812)27:12<1541::aid-eqe799>3.0.co;2-6

✦ Synopsis

This paper describes a modal weighting technique that improves the stability characteristics of explicit time-integration schemes used in structural dynamics. The central difference method was chosen as the trial algorithm because of its simplicity, both in terms of formulation and ease of numerical stability and convergence analysis. It is shown how explicit algorithms may be reformulated in order to make them stable for any integration time by attenuating high-frequency oscillation modes that are generated by mesh geometry rather than generic dynamical features. We discuss results from trial calculations obtained from mathematical models that represent hysteretic restoring force elements and an application on a physical, four-degree-of-freedom, base-isolated structure using the pseudodynamic technique.

1998 John Wiley & Sons, Ltd.