An alpha modification of Newmark's method | Zendy

Wood W. L. | Zendy; Bossak M. | Zendy; Zienkiewicz O. C. | Zendy

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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 .

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