For direct time integrations: A comparison of the Newmark and ρ∞-Bathe schemes

•We consider the Newmark and ρ∞-Bathe time integrations for dynamic solutions.•New insights into the Newmark and ρ∞-Bathe methods are presented.•We show that the Newmark method with α=0.25(δ+0.5)2 and δ⩾0.5 is a special case of the ρ∞-Bathe method.•Some example solutions of structural dynamics and w...

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Bibliographic Details
Published in:Computers & structures 2019-12, Vol.225, p.106079, Article 106079
Main Authors: Noh, Gunwoo, Bathe, Klaus-Jürgen
Format: Article
Language:English
Subjects:
Direct time integrations
Dissipation and dispersion
Dynamic structural analysis
Implicit and explicit schemes
Implicit methods
Newmark and Bathe methods
Numerical dissipation
Parameters
Stability and accuracy
Time integration
Transient analyses
Wave propagation
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