Transient elastic wave propagation in an infinite Timoshenko beam on viscoelastic foundation
This paper presents an effective numerical method for solving elastic wave propagation problems in an infinite Timoshenko beam on viscoelastic foundation in time domain. In order to use the finite element method to model the local complicated material properties of the infinite beam as well as found...
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| Published in | International journal of solids and structures Vol. 40; no. 13; pp. 3211 - 3228 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.06.2003
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 1879-2146 |
| DOI | 10.1016/S0020-7683(03)00160-4 |
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| Abstract | This paper presents an effective numerical method for solving elastic wave propagation problems in an infinite Timoshenko beam on viscoelastic foundation in time domain. In order to use the finite element method to model the local complicated material properties of the infinite beam as well as foundation, two artificial boundaries are needed in the infinite system so as to truncate the infinite beam into a finite beam. This treatment requires an appropriate boundary condition derived and applied on the corresponding truncated boundaries. For this purpose, the time-dependent equilibrium equation of motion for beam is changed into a linear ordinary differential equation by using the operator splitting and the residual radiation methods. Simultaneously, an artificial parameter is employed in the derivation. As a result, the high-order accurate artificial boundary condition, which is local in time, is obtained by solving the ordinary differential equation. The numerical examples given in this paper demonstrate that the proposed method is of high accuracy in dealing with elastic wave propagation problems in an infinite foundation beam. |
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| AbstractList | This paper presents an effective numerical method for solving elastic wave propagation problems in an infinite Timoshenko beam on viscoelastic foundation in time domain. In order to use the finite element method to model the local complicated material properties of the infinite beam as well as foundation, two artificial boundaries are needed in the infinite system so as to truncate the infinite beam into a finite beam. This treatment requires an appropriate boundary condition derived and applied on the corresponding truncated boundaries. For this purpose, the time-dependent equilibrium equation of motion for beam is changed into a linear ordinary differential equation by using the operator splitting and the residual radiation methods. Simultaneously, an artificial parameter is employed in the derivation. As a result, the high-order accurate artificial boundary condition, which is local in time, is obtained by solving the ordinary differential equation. The numerical examples given in this paper demonstrate that the proposed method is of high accuracy in dealing with elastic wave propagation problems in an infinite foundation beam. |
| Author | Li, Qingbin Liu, Tianyun |
| Author_xml | – sequence: 1 givenname: Tianyun surname: Liu fullname: Liu, Tianyun email: liuty@tsinghua.edu.cn – sequence: 2 givenname: Qingbin surname: Li fullname: Li, Qingbin |
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| CitedBy_id | crossref_primary_10_1115_1_2447406 crossref_primary_10_1002_nag_2693 crossref_primary_10_1016_j_tafmec_2022_103257 crossref_primary_10_1016_j_coldregions_2011_05_003 crossref_primary_10_12989_sem_2016_59_4_761 crossref_primary_10_1016_j_soildyn_2022_107733 crossref_primary_10_1016_S0894_9166_13_60013_0 crossref_primary_10_1016_j_ijmecsci_2019_105217 crossref_primary_10_1115_1_4005847 crossref_primary_10_1016_j_euromechsol_2008_08_001 |
| Cites_doi | 10.1137/S0036139993269266 10.1061/(ASCE)0733-9399(1983)109:6(1390) 10.1093/qjmam/51.1.125 10.1016/S0045-7825(02)00352-3 10.1016/S0168-9274(98)00022-1 10.1016/0022-460X(78)90501-1 10.1002/nme.406 10.1061/(ASCE)0733-9399(1990)116:3(531) 10.1115/1.2888178 10.1006/jsvi.2000.3333 10.1016/S0045-7825(02)00237-2 10.1016/0020-7683(65)90001-6 10.1006/jcph.1996.0157 10.1016/S0045-7825(99)00114-0 10.1006/jsvi.2000.3376 10.1115/1.3098920 10.1115/1.2888179 10.1115/1.4010934 10.1016/S0045-7825(01)00277-8 10.1002/nme.1620370604 10.1093/qjmam/23.2.197 10.1002/(SICI)1097-0207(20000330)47:9<1569::AID-NME845>3.0.CO;2-9 10.1121/1.428163 10.1006/jsvi.1997.1286 10.1016/S0168-9274(98)00025-7 10.1061/(ASCE)0733-9399(1984)110:6(879) 10.1006/jcph.2001.6766 10.1016/S0020-7683(98)00261-3 |
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| Issue | 13 |
| Keywords | Viscoelastic foundation Time-dependent Elastic wave Artificial boundary conditions Timoshenko beam Infinite domain |
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| SubjectTerms | Artificial boundary conditions Elastic wave Exact sciences and technology Fundamental areas of phenomenology (including applications) Infinite domain Physics Solid mechanics Structural and continuum mechanics Time-dependent Timoshenko beam Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves Viscoelastic foundation |
| Title | Transient elastic wave propagation in an infinite Timoshenko beam on viscoelastic foundation |
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