Numerical dissipation in time-step integration algorithms for structural dynamic analysis

✍ Scribed by T C Fung

• Book ID: 105360859
• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 310 KB
• Volume: 5
• Category: Article
• ISSN: 1365-0556
• DOI: 10.1002/pse.149

✦ Synopsis

Abstract

To damp out spurious high‐frequency responses, time‐step integration algorithms for structural dynamic analysis should have controllable numerical dissipation in the high‐frequency regime. The algorithms should also be unconditionally stable so that the time‐step size is governed by the accuracy requirement only. This paper reviews several recently developed frameworks that can be used to construct unconditionally stable dissipative time‐step integration algorithms. The continuous displacement (single‐field) formulations are considered here. The algorithmic parameters that can be used to control the numerical dissipation in time‐step integration algorithms are also discussed.