TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings
This study proposes a new arrangement-tuning method to maximize the potential of tuned mass dampers (TMDs) in decreasing the seismic responses of tall buildings. The method relies on a Grammian-based entropy index with the physical meaning of covariance responses to white noise without the involveme...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/8/1110 |
| _version_ | 1797584861025796096 |
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| author | Yumei Wang Zhe Qu |
| author_facet | Yumei Wang Zhe Qu |
| author_sort | Yumei Wang |
| collection | DOAJ |
| description | This study proposes a new arrangement-tuning method to maximize the potential of tuned mass dampers (TMDs) in decreasing the seismic responses of tall buildings. The method relies on a Grammian-based entropy index with the physical meaning of covariance responses to white noise without the involvement of external inputs. A twelve-story RC frame-shear wall building was used as an example to illustrate the method. Indices were computed for the building with TMDs placed on different stories and tuning to different modes and were compared with responses to white noise (colored) time histories. Results showed that greater index reduction cases agree well with greater story-drift reductions cases, despite the differences in the time step of the white noises and structural model types (pure shear vs. shear-bending), and the optimal TMD is not necessarily the traditional “roof—1st mode tuning” case. Comparisons were also made for the shear-bending building under seven earthquake excitations. It is found that, though TMDs are not full-band effective controllers, the index-selected TMDs still perform the best in three out of seven earthquakes. So, the proposed internal-property-based entropy index provides a good controller design for large-scale structures under unpredictable none-stationary excitations. |
| first_indexed | 2024-03-10T23:58:43Z |
| format | Article |
| id | doaj.art-da917deff7f34c1290f1ce442b608b7e |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T23:58:43Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-da917deff7f34c1290f1ce442b608b7e2023-11-19T00:58:43ZengMDPI AGEntropy1099-43002023-07-01258111010.3390/e25081110TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending BuildingsYumei Wang0Zhe Qu1Earthquake Engineering Research & Test Center, Guangzhou University, Guangzhou 510006, ChinaInstitute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, ChinaThis study proposes a new arrangement-tuning method to maximize the potential of tuned mass dampers (TMDs) in decreasing the seismic responses of tall buildings. The method relies on a Grammian-based entropy index with the physical meaning of covariance responses to white noise without the involvement of external inputs. A twelve-story RC frame-shear wall building was used as an example to illustrate the method. Indices were computed for the building with TMDs placed on different stories and tuning to different modes and were compared with responses to white noise (colored) time histories. Results showed that greater index reduction cases agree well with greater story-drift reductions cases, despite the differences in the time step of the white noises and structural model types (pure shear vs. shear-bending), and the optimal TMD is not necessarily the traditional “roof—1st mode tuning” case. Comparisons were also made for the shear-bending building under seven earthquake excitations. It is found that, though TMDs are not full-band effective controllers, the index-selected TMDs still perform the best in three out of seven earthquakes. So, the proposed internal-property-based entropy index provides a good controller design for large-scale structures under unpredictable none-stationary excitations.https://www.mdpi.com/1099-4300/25/8/1110shear-bending buildingGrammiansHankel singular values (HSVs)information entropyoptimal TMD |
| spellingShingle | Yumei Wang Zhe Qu TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings Entropy shear-bending building Grammians Hankel singular values (HSVs) information entropy optimal TMD |
| title | TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings |
| title_full | TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings |
| title_fullStr | TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings |
| title_full_unstemmed | TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings |
| title_short | TMD Design by an Entropy Index for Seismic Control of Tall Shear-Bending Buildings |
| title_sort | tmd design by an entropy index for seismic control of tall shear bending buildings |
| topic | shear-bending building Grammians Hankel singular values (HSVs) information entropy optimal TMD |
| url | https://www.mdpi.com/1099-4300/25/8/1110 |
| work_keys_str_mv | AT yumeiwang tmddesignbyanentropyindexforseismiccontroloftallshearbendingbuildings AT zhequ tmddesignbyanentropyindexforseismiccontroloftallshearbendingbuildings |