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An alpha modification of Newmark's method
Author(s) -
Wood W. L.,
Bossak M.,
Zienkiewicz O. C.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620151011
Subject(s) - newmark beta method , discretization , extension (predicate logic) , mathematics , mathematical analysis , algorithm , finite element method , computer science , structural engineering , engineering , programming language
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 .