A simple explicit single step time integration algorithm for structural dynamics
Summary In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second‐order accurate and able to control numerical dissipation through the parameters of the Newmar...
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| Veröffentlicht in: | International journal for numerical methods in engineering Jg. 119; H. 5; S. 383 - 403 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Bognor Regis
Wiley Subscription Services, Inc
03.08.2019
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| ISSN: | 0029-5981, 1097-0207 |
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| Abstract | Summary
In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second‐order accurate and able to control numerical dissipation through the parameters of the Newmark approximations. Explicitness and order of accuracy of the proposed method are not affected in velocity‐dependent problems. Illustrative linear and nonlinear examples are used to verify performances of the proposed method. |
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| AbstractList | In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second‐order accurate and able to control numerical dissipation through the parameters of the Newmark approximations. Explicitness and order of accuracy of the proposed method are not affected in velocity‐dependent problems. Illustrative linear and nonlinear examples are used to verify performances of the proposed method. Summary In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second‐order accurate and able to control numerical dissipation through the parameters of the Newmark approximations. Explicitness and order of accuracy of the proposed method are not affected in velocity‐dependent problems. Illustrative linear and nonlinear examples are used to verify performances of the proposed method. |
| Author | Kim, Wooram |
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| Cites_doi | 10.1016/0045-7949(89)90314-3 10.1177/1077546305044130 10.1016/j.compstruc.2018.06.005 10.1002/nme.1620372303 10.1115/1.2900803 10.1142/S0219455417500249 10.1115/1.4036822 10.1016/j.compstruc.2005.08.001 10.1016/j.chaos.2005.08.032 10.1016/j.compstruc.2013.02.006 10.1016/j.compstruc.2013.06.007 10.1016/j.jsv.2007.07.052 10.1115/1.4036821 10.1002/9781119965893 10.1115/IMECE1999-0617 10.1016/j.cma.2016.09.021 10.1016/j.compstruc.2017.10.002 10.1016/0045-7949(89)90315-5 10.1002/eqe.4290050306 10.1063/1.448118 |
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| References | 2017; 84 2018; 196 1984; 81 1989; 32 2012 2011 2017; 17 1993; 60 2018; 206 2013; 129 2016; 311 1976 2013; 123 2006; 29 2006 1983 2005 1994; 37 2005; 83 2008; 310 2005; 11 1977; 5 1999 Zill D (e_1_2_8_14_1) 2011 Hilber HM (e_1_2_8_19_1) 1976 e_1_2_8_24_1 e_1_2_8_25_1 e_1_2_8_26_1 e_1_2_8_3_1 e_1_2_8_2_1 e_1_2_8_5_1 e_1_2_8_4_1 e_1_2_8_7_1 e_1_2_8_6_1 e_1_2_8_9_1 Hughes TJR (e_1_2_8_18_1) 1983 e_1_2_8_8_1 e_1_2_8_20_1 e_1_2_8_22_1 e_1_2_8_23_1 Zienkiewicz OC (e_1_2_8_21_1) 2005 e_1_2_8_17_1 e_1_2_8_13_1 e_1_2_8_16_1 Bathe K‐J (e_1_2_8_15_1) 2006 e_1_2_8_10_1 e_1_2_8_11_1 e_1_2_8_12_1 |
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In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various... In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic... |
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| SubjectTerms | Algorithms controllable numerical dissipation explicit time integration method impact and wave propagation linear and nonlinear structural dynamics Numerical dissipation pendulums Stability Time integration |
| Title | A simple explicit single step time integration algorithm for structural dynamics |
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