An alpha modification of Newmark's method

✍ Scribed by W. L. Wood; M. Bossak; O. C. Zienkiewicz

• Publisher: John Wiley and Sons
• Year: 1980
• Tongue: English
• Weight: 194 KB
• Volume: 15
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620151011

✦ Synopsis

Abstract

This paper discusses the Bossak–Newmark algorithm, which is an extension of the well‐known Newmark algorithm^1^ for the numerical integration of the equations of discretized structural dynamics problems. The extra parameter introduced here enables the method (when used on the test equation ẍ = −ω^2^x) to be simultaneously second order, unconditionally stable and with positive artificial damping.

Comparisons are made with another modification of Newmark introduced by Hilber, Hughes and Taylor^2^.