3D viscous-spring artificial boundary in time domain
After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary （VSAB） in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the e...
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| Published in | Earthquake Engineering and Engineering Vibration Vol. 5; no. 1; pp. 93 - 102 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Nature B.V
01.06.2006
Department of Civil Engineering, Tsinghua University, Beijing 100084, China%Beijing Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100022, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1671-3664 1993-503X |
| DOI | 10.1007/s11803-006-0585-2 |
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| Abstract | After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary （VSAB） in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems. |
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| AbstractList | After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary （VSAB） in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems. After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB) in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems.[PUBLICATION ABSTRACT] P3; After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB) in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems. After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB) in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems. |
| Author | 刘晶波 杜义欣 杜修力 王振宇 伍俊 |
| AuthorAffiliation | Department of Civil Engineering, Tsinghua University, Beijing 100084, China Beijing Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100022, China |
| AuthorAffiliation_xml | – name: Department of Civil Engineering, Tsinghua University, Beijing 100084, China%Beijing Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100022, China |
| Author_xml | – sequence: 1 fullname: 刘晶波 杜义欣 杜修力 王振宇 伍俊 |
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| Keywords | viscous-spring time domain artificial boundary wave motion numerical simulation soil-structure interaction |
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| References | The National Standard GB50267-97 (585_CR18) 1998 J. Lysmer (585_CR15) 1969; 95 J.B. Liu (585_CR13) 1998; 31 J.P. Wolf (585_CR21) 1986; 14 Z.Y. Wang (585_CR20) 2002 R.G. Keys (585_CR8) 1985; 50 E. Kausel (585_CR7) 1988; 114 R.L. Higdon (585_CR5) 1986; 47 Z.P. Liao (585_CR9) 1996; 24 Z.P. Liao (585_CR10) 1997; 27 J.P. Wolf (585_CR22) 1988 A.J. Deeks (585_CR3) 1994; 120 L.P. Jing (585_CR6) 2000; 20 P. Underwood (585_CR19) 1981; 17 J.Y. Yan (585_CR26) 2003; 2 J.B. Liu (585_CR14) 2002; 19 W.D. Smith (585_CR17) 1974; 15 C.B. Zhao (585_CR27) 1989; 32 Z.L. Xu (585_CR25) 1990 K. Aki (585_CR1) 1980 S.L. Chen (585_CR2) 2003; 16 J.P. Wolf (585_CR24) 1995; 24 C.L. Pekeris (585_CR16) 1955; 41 J.P. Wolf (585_CR23) 1992; 21 Z.P. Liao (585_CR11) 2002 M.G. Foreman (585_CR4) 1986; 64 585_CR12 |
| References_xml | – volume: 16 start-page: 283 issue: 3 year: 2003 ident: 585_CR2 publication-title: Acta seismologica sinica doi: 10.1007/s11589-003-0032-7 – volume: 20 start-page: 8 issue: 3 year: 2000 ident: 585_CR6 publication-title: Earthquake Engineering and Engineering Vibration – volume: 32 start-page: 479 issue: 4 year: 1989 ident: 585_CR27 publication-title: Science in China Series A – volume: 19 start-page: 34 issue: 3 year: 2002 ident: 585_CR14 publication-title: Engineering Mechanics – volume: 114 start-page: 1011 issue: 6 year: 1988 ident: 585_CR7 publication-title: Journal of Engineering Mechanics doi: 10.1061/(ASCE)0733-9399(1988)114:6(1011) – volume: 95 start-page: 759 year: 1969 ident: 585_CR15 publication-title: Journal of Engineering Mechanics – volume: 47 start-page: 437 year: 1986 ident: 585_CR5 publication-title: Mathematics of Computation – volume-title: Introduction to Wave Motion Theories in Engineering year: 2002 ident: 585_CR11 – volume-title: Dissertation for PhD year: 2002 ident: 585_CR20 – volume-title: Elasticity Mechanics year: 1990 ident: 585_CR25 – volume: 27 start-page: 193 issue: 2 year: 1997 ident: 585_CR10 publication-title: Advances in Mechanics – volume-title: Soil-structure-interaction Analysis in Time Domain year: 1988 ident: 585_CR22 – volume-title: Quantitative Seismology Theory and Methods I year: 1980 ident: 585_CR1 – volume: 64 start-page: 334 year: 1986 ident: 585_CR4 publication-title: Journal of Computational Physics doi: 10.1016/0021-9991(86)90037-9 – volume: 41 start-page: 469 year: 1955 ident: 585_CR16 publication-title: Proceedings of the national academy of sciences doi: 10.1073/pnas.41.7.469 – volume: 120 start-page: 25 issue: 1 year: 1994 ident: 585_CR3 publication-title: Journal of Engineering Mechanics doi: 10.1061/(ASCE)0733-9399(1994)120:1(25) – volume: 15 start-page: 492 issue: 4 year: 1974 ident: 585_CR17 publication-title: Journal of Computational Physics doi: 10.1016/0021-9991(74)90075-8 – volume: 17 start-page: 687 year: 1981 ident: 585_CR19 publication-title: International Journal of Solids and Structures doi: 10.1016/0020-7683(81)90005-6 – volume-title: Code for Seismic Design of Nuclear Power Plants year: 1998 ident: 585_CR18 – volume: 50 start-page: 892 year: 1985 ident: 585_CR8 publication-title: Geophysics doi: 10.1190/1.1441969 – volume: 21 start-page: 1132 year: 1992 ident: 585_CR23 publication-title: Earthquake Engineering and Structural Dynamics – ident: 585_CR12 – volume: 31 start-page: 55 issue: 3 year: 1998 ident: 585_CR13 publication-title: China Civil Engineering Journal – volume: 24 start-page: 175 year: 1995 ident: 585_CR24 publication-title: Earthquake Engineering and Structural Dynamics doi: 10.1002/eqe.4290240204 – volume: 24 start-page: 117 year: 1996 ident: 585_CR9 publication-title: Wave Motion doi: 10.1016/0165-2125(96)00010-8 – volume: 14 start-page: 655 year: 1986 ident: 585_CR21 publication-title: Earthquake Engineering and Structural Dynamics doi: 10.1002/eqe.4290140412 – volume: 2 start-page: 51 issue: 1 year: 2003 ident: 585_CR26 publication-title: Earthquake Engineeing and Engineering Vibration doi: 10.1007/BF02857538 |
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| Snippet | After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary （VSAB）... After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB)... P3; After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary... |
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| SubjectTerms | Elastic waves Seismic engineering Simulation Soils 土壤结构 数值模拟 |
| Title | 3D viscous-spring artificial boundary in time domain |
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