Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation
In this paper, parameter analyses of a tuned inerter damper (TID) are carried out based on the displacement mitigation ratio. The optimal design of TID based on the closed-form solution method is carried out and compared with the fixed-point method. Meanwhile, applicable conditions of two methods ar...
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MDPI AG
2022-04-01
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Online Access: | https://www.mdpi.com/2075-5309/12/5/558 |
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author | Ruoyu Zhang Jizhong Huang Meigen Cao Qingyang Luo Xiuwei Guo |
author_facet | Ruoyu Zhang Jizhong Huang Meigen Cao Qingyang Luo Xiuwei Guo |
author_sort | Ruoyu Zhang |
collection | DOAJ |
description | In this paper, parameter analyses of a tuned inerter damper (TID) are carried out based on the displacement mitigation ratio. The optimal design of TID based on the closed-form solution method is carried out and compared with the fixed-point method. Meanwhile, applicable conditions of two methods are discussed in wider range of values of objective function under different inherent damping ratios. Finally, seismic responses of SDOF system with TID are carried out, which verifies the feasibility of the closed-form solution optimization method. Compared with the fixed-point method, the inherent damping ratio of the original structure is considered in the closed-form solution method, and the optimal damping ratio of a TID is smaller than that of the fixed-point method under same displacement mitigation ratio. The parameters’ combination of a TID designed by the fixed-point method obtains a vibration mitigation effect with a larger damping ratio by cooperating with the deformation enhancement effect of the inerter, which may make the vibration mitigation effect of the TID lower than that of the VD in structures with large inherent damping ratios. However, the deformation enhancement effect on the damping element of the inerter can be fully used by using the closed-form solution method. Better applicability and robustness are shown in closed-form solution method. Under the same displacement mitigation ratio, the damping ratio of a TID obtained by using the closed-form solution method is about one tenth of that obtained by using the fixed-point method, which can realize the lightweight design of the TID. |
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institution | Directory Open Access Journal |
issn | 2075-5309 |
language | English |
last_indexed | 2024-03-10T03:14:08Z |
publishDate | 2022-04-01 |
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series | Buildings |
spelling | doaj.art-f062f83fdc834cceb699f9d260d407112023-11-23T10:19:48ZengMDPI AGBuildings2075-53092022-04-0112555810.3390/buildings12050558Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response MitigationRuoyu Zhang0Jizhong Huang1Meigen Cao2Qingyang Luo3Xiuwei Guo4School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, ChinaInstitute for Conservation of Cultural Heritage, Shanghai University, Shanghai 200444, ChinaSchool of Civil Engineering, North China University of Technology, Beijing 100144, ChinaSchool of Materials Science and Engineering, Shanghai University, Shanghai 200444, ChinaSchool of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, ChinaIn this paper, parameter analyses of a tuned inerter damper (TID) are carried out based on the displacement mitigation ratio. The optimal design of TID based on the closed-form solution method is carried out and compared with the fixed-point method. Meanwhile, applicable conditions of two methods are discussed in wider range of values of objective function under different inherent damping ratios. Finally, seismic responses of SDOF system with TID are carried out, which verifies the feasibility of the closed-form solution optimization method. Compared with the fixed-point method, the inherent damping ratio of the original structure is considered in the closed-form solution method, and the optimal damping ratio of a TID is smaller than that of the fixed-point method under same displacement mitigation ratio. The parameters’ combination of a TID designed by the fixed-point method obtains a vibration mitigation effect with a larger damping ratio by cooperating with the deformation enhancement effect of the inerter, which may make the vibration mitigation effect of the TID lower than that of the VD in structures with large inherent damping ratios. However, the deformation enhancement effect on the damping element of the inerter can be fully used by using the closed-form solution method. Better applicability and robustness are shown in closed-form solution method. Under the same displacement mitigation ratio, the damping ratio of a TID obtained by using the closed-form solution method is about one tenth of that obtained by using the fixed-point method, which can realize the lightweight design of the TID.https://www.mdpi.com/2075-5309/12/5/558tuned inerter damperstochastic responseclosed-form solutionparameter optimizationdisplacement mitigation ratioseismic response |
spellingShingle | Ruoyu Zhang Jizhong Huang Meigen Cao Qingyang Luo Xiuwei Guo Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation Buildings tuned inerter damper stochastic response closed-form solution parameter optimization displacement mitigation ratio seismic response |
title | Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation |
title_full | Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation |
title_fullStr | Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation |
title_full_unstemmed | Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation |
title_short | Study on Parameters’ Influence and Optimal Design of Tuned Inerter Dampers for Seismic Response Mitigation |
title_sort | study on parameters influence and optimal design of tuned inerter dampers for seismic response mitigation |
topic | tuned inerter damper stochastic response closed-form solution parameter optimization displacement mitigation ratio seismic response |
url | https://www.mdpi.com/2075-5309/12/5/558 |
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