Development of an explicit time integration algorithm based on optimal integration parameter updating
Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and effic...
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| Veröffentlicht in: | Earthquake engineering & structural dynamics Jg. 52; H. 15; S. 5117 - 5140 |
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| Sprache: | Englisch |
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01.12.2023
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| Abstract | Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and efficient solution of structural dynamic problems. The new integration algorithm is designed to yield minimum error and controllable numerical dispersion under the premise of stability by defining objective functions and constraints. Numerical properties of the new integration algorithm are investigated in details using the amplification matrix method for a linear elastic single degree‐of‐freedom system. Meanwhile, representative numerical examples and complex structure examples are analyzed and compared with other representative algorithms. As a result, the proposed algorithm yields comparable numerical characteristics with other methods, but exhibits pronounced superiority in controllable algorithmic dissipation, higher precision, and better efficiency. Therefore, the new integration algorithm possesses extensive application prospect in solving complicated linear and nonlinear structural dynamic problems. |
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| AbstractList | Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and efficient solution of structural dynamic problems. The new integration algorithm is designed to yield minimum error and controllable numerical dispersion under the premise of stability by defining objective functions and constraints. Numerical properties of the new integration algorithm are investigated in details using the amplification matrix method for a linear elastic single degree‐of‐freedom system. Meanwhile, representative numerical examples and complex structure examples are analyzed and compared with other representative algorithms. As a result, the proposed algorithm yields comparable numerical characteristics with other methods, but exhibits pronounced superiority in controllable algorithmic dissipation, higher precision, and better efficiency. Therefore, the new integration algorithm possesses extensive application prospect in solving complicated linear and nonlinear structural dynamic problems. |
| Author | Li, Hong‐Nan Fu, Zhao‐Yang Li, Chao |
| Author_xml | – sequence: 1 givenname: Zhao‐Yang orcidid: 0000-0002-8743-5300 surname: Fu fullname: Fu, Zhao‐Yang organization: State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology Dalian China – sequence: 2 givenname: Hong‐Nan orcidid: 0000-0001-6948-3045 surname: Li fullname: Li, Hong‐Nan organization: State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology Dalian China, School of Civil Engineering Shenyang Jianzhu University Shenyang China – sequence: 3 givenname: Chao orcidid: 0000-0002-1249-6344 surname: Li fullname: Li, Chao organization: State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology Dalian China |
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| Cites_doi | 10.1016/j.engstruct.2011.10.006 10.1002/(SICI)1096-9845(199912)28:12<1541::AID-EQE880>3.0.CO;2-R 10.1002/1097-0207(20010110)50:1<199::AID-NME132>3.0.CO;2-A 10.1016/j.amc.2017.04.026 10.1002/eqe.927 10.1002/eqe.555 10.1002/eqe.838 10.1007/s10957-020-01661-6 10.1002/eqe.3667 10.1016/0022-460X(90)90860-3 10.1002/eqe.757 10.1007/s11071-019-05022-5 10.1002/nme.6054 10.1002/nme.2452 10.1002/eqe.2401 10.1016/j.compstruc.2019.05.018 10.1061/(ASCE)0733-9399(2008)134:8(676) 10.1002/eqe.4290050306 10.1002/eqe.775 10.1002/eqe.4290200605 10.1061/(ASCE)0733-9399(2002)128:9(935) 10.1061/JMCEA3.0000098 10.1016/j.compgeo.2018.10.010 10.1093/acprof:oso/9780199641758.001.0001 10.1016/0045-7949(89)90315-5 10.1002/nme.5153 10.1007/s11071-014-1368-3 10.1002/eqe.2484 10.1002/eqe.513 10.1002/eqe.18 10.1002/eqe.519 10.1002/eqe.3690 10.1007/s11071-014-1765-7 10.1002/(SICI)1096-9845(199904)28:4<393::AID-EQE823>3.0.CO;2-C 10.1016/S0267-7261(97)00017-1 10.1002/eqe.3274 10.1061/(ASCE)0733-9399(2007)133:7(748) 10.1002/eqe.4290210106 10.1016/j.engstruct.2019.05.095 10.1002/eqe.3646 |
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| SubjectTerms | Algorithms Controllability Earthquake engineering Earthquakes Integration Matrix methods Optimization Parameters Seismic activity Seismic engineering Structural dynamics Time integration |
| Title | Development of an explicit time integration algorithm based on optimal integration parameter updating |
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