Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform
A simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based on a series of generated ground motions. This...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/2614769 |
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| author | Erlei Yao Yu Miao Guobo Wang |
| author_facet | Erlei Yao Yu Miao Guobo Wang |
| author_sort | Erlei Yao |
| collection | DOAJ |
| description | A simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based on a series of generated ground motions. This procedure uses the instantaneous amplitude and the instantaneous phase of the record obtained using Hilbert transform to achieve the nonstationarity of ground motion. To establish the coherency between generated ground motions, an incoherence model is employed to describe the relation between the instantaneous phase at the present station and the instantaneous phases at previous stations. This type of phase is defined as the instantaneous coherence phase. In addition, time lag is included in the instantaneous coherence phase to prescribe the wave passage effect. The proposed Hilbert-transform-based method is efficient and avoids cumbersome parameter estimations as well as other drawbacks involved in some traditional synthesizing methods. Applications of this method demonstrate that the generated ground motions are statistically analogous with the reference record. |
| format | Article |
| id | doaj-art-e168a04ed9b54472b93013c4c8d5afd1 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-e168a04ed9b54472b93013c4c8d5afd12025-02-03T06:10:54ZengWileyModelling and Simulation in Engineering1687-55911687-56052017-01-01201710.1155/2017/26147692614769Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert TransformErlei Yao0Yu Miao1Guobo Wang2School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, ChinaHubei Key Laboratory of Roadway Bridge & Structure Engineer, Wuhan University of Technology, Wuhan 430074, ChinaA simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based on a series of generated ground motions. This procedure uses the instantaneous amplitude and the instantaneous phase of the record obtained using Hilbert transform to achieve the nonstationarity of ground motion. To establish the coherency between generated ground motions, an incoherence model is employed to describe the relation between the instantaneous phase at the present station and the instantaneous phases at previous stations. This type of phase is defined as the instantaneous coherence phase. In addition, time lag is included in the instantaneous coherence phase to prescribe the wave passage effect. The proposed Hilbert-transform-based method is efficient and avoids cumbersome parameter estimations as well as other drawbacks involved in some traditional synthesizing methods. Applications of this method demonstrate that the generated ground motions are statistically analogous with the reference record.http://dx.doi.org/10.1155/2017/2614769 |
| spellingShingle | Erlei Yao Yu Miao Guobo Wang Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform Modelling and Simulation in Engineering |
| title | Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform |
| title_full | Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform |
| title_fullStr | Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform |
| title_full_unstemmed | Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform |
| title_short | Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform |
| title_sort | synthesis of spatially correlated earthquake ground motions based on hilbert transform |
| url | http://dx.doi.org/10.1155/2017/2614769 |
| work_keys_str_mv | AT erleiyao synthesisofspatiallycorrelatedearthquakegroundmotionsbasedonhilberttransform AT yumiao synthesisofspatiallycorrelatedearthquakegroundmotionsbasedonhilberttransform AT guobowang synthesisofspatiallycorrelatedearthquakegroundmotionsbasedonhilberttransform |