Research on Combined Numerical Integral Algorithms in Structure Seismic Hybrid Testing
ΛεεThe explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable but requiring iteration. In this paper, a modified Wilson θ method that named CD-Wilson θ method is established, the center difference metho...
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| Published in | Applied Mechanics and Materials Vol. 166-169; pp. 1045 - 1049 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Zurich
Trans Tech Publications Ltd
01.05.2012
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| Subjects | |
| Online Access | Get full text |
| ISBN | 9783037854211 3037854219 |
| ISSN | 1660-9336 1662-7482 1662-7482 |
| DOI | 10.4028/www.scientific.net/AMM.166-169.1045 |
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| Abstract | ΛεεThe explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable but requiring iteration. In this paper, a modified Wilson θ method that named CD-Wilson θ method is established, the center difference method is used as explicit integral algorithms and Wilson θ method is used as implicit integral algorithms. And the amplification matrix is used to explore the stability and the precision according to calculation and deduction. The results show that conclusions of stability condition is θΩE≤2 , the problem of constrained time step of CD-Newmark is solved, and the value range of high precision and good stability is τ=6, ε =4 and 0<θ<0.6. |
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| AbstractList | Λ[straight epsilon][straight epsilon]The explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable but requiring iteration. In this paper, a modified Wilson θ method that named CD-Wilson θ method is established, the center difference method is used as explicit integral algorithms and Wilson θ method is used as implicit integral algorithms. And the amplification matrix is used to explore the stability and the precision according to calculation and deduction. The results show that conclusions of stability condition is θΩE≤2 , the problem of constrained time step of CD-Newmark is solved, and the value range of high precision and good stability is τ=6, [straight epsilon] =4 and 0 ΛεεThe explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable but requiring iteration. In this paper, a modified Wilson θ method that named CD-Wilson θ method is established, the center difference method is used as explicit integral algorithms and Wilson θ method is used as implicit integral algorithms. And the amplification matrix is used to explore the stability and the precision according to calculation and deduction. The results show that conclusions of stability condition is θΩE≤2 , the problem of constrained time step of CD-Newmark is solved, and the value range of high precision and good stability is τ=6, ε =4 and 0<θ<0.6. ΛεεThe explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable but requiring iteration. In this paper, a modified Wilson θ method that named CD-Wilson θ method is established, the center difference method is used as explicit integral algorithms and Wilson θ method is used as implicit integral algorithms. And the amplification matrix is used to explore the stability and the precision according to calculation and deduction. The results show that conclusions of stability condition is θΩ E ≤2 , the problem of constrained time step of CD-Newmark is solved, and the value range of high precision and good stability is τ=6, ε =4 and 0<θ<0.6. |
| Author | Cai, Xin Jiang Tian, Shi Zhu Wang, Xiao Feng |
| Author_xml | – givenname: Xiao Feng surname: Wang fullname: Wang, Xiao Feng email: echo32809@126.com organization: Suzhou University of Science and Technology : School of Civil Engineering – givenname: Xin Jiang surname: Cai fullname: Cai, Xin Jiang email: caixinjiang@126.com organization: Suzhou University of Science and Technology : School of Civil Engineering – givenname: Shi Zhu surname: Tian fullname: Tian, Shi Zhu email: tianshizhu@hit.edu.cn organization: Harbin Institute of Technology : School of Civil Engineering |
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| Cites_doi | 10.3130/aijsx.454.0_61 10.1002/eqe.4290130406 |
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| Keywords | CD-Wilson θ PC-Newmark Combined Numerical Integral Algorithms CD-Newmark Seismic Hybrid Testing |
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| Snippet | ΛεεThe explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral algorithms is unconditionally stable... Λ[straight epsilon][straight epsilon]The explicit integral algorithms is not requiring iteration but needing a conditional stable, and the implicit integral... |
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| Title | Research on Combined Numerical Integral Algorithms in Structure Seismic Hybrid Testing |
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