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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
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spelling 2025-02-03T14:09:40.4695085 v2 68308 2024-11-20 New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy db757f30fedab6cac23906a0eabf3a52 Eman Alhayki Eman Alhayki true false 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false 2024-11-20 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. Journal Article Computers & Structures 305 107587 Elsevier 0045-7949 1879-2243 Implicit numerical time integration; Generalised-α method; Backward difference formula; Unconditional stability; Accuracy 1 12 2024 2024-12-01 10.1016/j.compstruc.2024.107587 COLLEGE NANME COLLEGE CODE Swansea University SU Library paid the OA fee (TA Institutional Deal) Swansea University 2025-02-03T14:09:40.4695085 2024-11-20T15:52:33.7665729 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Eman Alhayki 1 Wulf Dettmer 0000-0003-0799-4645 2 68308__32939__0995bccb24fc478786855c7b36bca449.pdf 68308.VoR.pdf 2024-11-20T15:55:07.1479339 Output 1681721 application/pdf Version of Record true © 2024 The Author(s). This is an open access article under the CC BY license. true eng http://creativecommons.org/licenses/by/4.0/
title New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
spellingShingle New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
Eman Alhayki
Wulf Dettmer
title_short New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
title_full New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
title_fullStr New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
title_full_unstemmed New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
title_sort New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
author_id_str_mv db757f30fedab6cac23906a0eabf3a52
30bb53ad906e7160e947fa01c16abf55
author_id_fullname_str_mv db757f30fedab6cac23906a0eabf3a52_***_Eman Alhayki
30bb53ad906e7160e947fa01c16abf55_***_Wulf Dettmer
author Eman Alhayki
Wulf Dettmer
author2 Eman Alhayki
Wulf Dettmer
format Journal article
container_title Computers & Structures
container_volume 305
container_start_page 107587
publishDate 2024
institution Swansea University
issn 0045-7949
1879-2243
doi_str_mv 10.1016/j.compstruc.2024.107587
publisher Elsevier
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description 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.
published_date 2024-12-01T05:19:23Z
_version_ 1851731490924134400
score 11.08976

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