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New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy

Eman Alhayki, Wulf Dettmer Orcid Logo

Computers & Structures, Volume: 305, Start page: 107587

Swansea University Authors: Eman Alhayki, Wulf Dettmer Orcid Logo

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DOI (Published version): 10.1016/j.compstruc.2024.107587

Abstract

The time integration schemes, GA-23 and GA-234, recently proposed by the authors for first order problems, are extended to solve second-order problems in structural dynamics. The resulting methods maintain unconditional stability and user-controlled high-frequency damping. They offer improved accura...

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Published in: Computers & Structures
ISSN: 0045-7949 1879-2243
Published: Elsevier 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68308
Abstract: The time integration schemes, GA-23 and GA-234, recently proposed by the authors for first order problems, are extended to solve second-order problems in structural dynamics. The resulting methods maintain unconditional stability and user-controlled high-frequency damping. They offer improved accuracy and exhibit less numerical damping in the low-frequency regime, outperforming the well-known generalised-α method. When the high-frequency damping is maximised the new schemes can be cast in the format of backward difference formulae, offering more accurate alternatives to the standard second order formula. The effectiveness of the new time integration schemes is validated through a number of numerical examples, including a linear elastic cantilever beam, a nonlinear spring pendulum, and wave propagation on a string.
Keywords: Implicit numerical time integration; Generalised-α method; Backward difference formula; Unconditional stability; Accuracy
College: Faculty of Science and Engineering
Funders: Swansea University
Start Page: 107587

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