<i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations
The lever or the lever-type mechanism can achieve an inertia amplification effect by appropriately calibrating its structural configuration, and it is also proven to be one of the most cost-effective solution for the inerter realization compared with other mechanical devices. Benefitting from this p...
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2024-11-01
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| author | Kai Xu Weiwei Wang Hui Liang Aifeng Liu Jianmin Yang Jingzhou Gao Bei Chen |
| author_facet | Kai Xu Weiwei Wang Hui Liang Aifeng Liu Jianmin Yang Jingzhou Gao Bei Chen |
| author_sort | Kai Xu |
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| description | The lever or the lever-type mechanism can achieve an inertia amplification effect by appropriately calibrating its structural configuration, and it is also proven to be one of the most cost-effective solution for the inerter realization compared with other mechanical devices. Benefitting from this property, the present paper adopted a new type of tuned lever inerter-like mass damper (TLIMD) for attenuating stochastic load-induced structure dynamic responses. A set of closed-form formulae for the TLIMD optimal parameters are developed by the use of <i>H</i><sub>2</sub> norm optimization criterion, wherein the structure’s inherent damping is explicitly accounted for. It is theoretically demonstrated that the TLIMD optimal parameters are mainly dominated by three critical parameters, i.e., the damper mass ratio, the lever length ratio (known as the inertia amplification ratio) and also the host structural damping. The proposed formulae for the TLIMD optimization are validated through the seismic analysis, where two classic inerter-based dampers (i.e., the tuned mass damper inerter (TMDI) and the tuned inerter damper (TID)) optimized by the numerical technique are included in the discussion. It is found that the TLIMD has a superior advantage in reducing the structure responses and also exhibits stronger robustness for the detuning condition than the classic inerter-based dampers. Furthermore, the increase in the damper mass ratio and the lever length ratio can be beneficial for enhancing its performance. |
| format | Article |
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| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2024-11-01 |
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| spelling | doaj-art-af84d24ee3f749dabcaa40762d7fbe7b2024-11-08T14:34:17ZengMDPI AGApplied Sciences2076-34172024-11-0114211005910.3390/app142110059<i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure VibrationsKai Xu0Weiwei Wang1Hui Liang2Aifeng Liu3Jianmin Yang4Jingzhou Gao5Bei Chen6Northwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNorthwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNorthwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNorthwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNorthwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNorthwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, ChinaNational Key Laboratory of Bridge Engineering Safety and Resilience, Hunan University, Changsha 410082, ChinaThe lever or the lever-type mechanism can achieve an inertia amplification effect by appropriately calibrating its structural configuration, and it is also proven to be one of the most cost-effective solution for the inerter realization compared with other mechanical devices. Benefitting from this property, the present paper adopted a new type of tuned lever inerter-like mass damper (TLIMD) for attenuating stochastic load-induced structure dynamic responses. A set of closed-form formulae for the TLIMD optimal parameters are developed by the use of <i>H</i><sub>2</sub> norm optimization criterion, wherein the structure’s inherent damping is explicitly accounted for. It is theoretically demonstrated that the TLIMD optimal parameters are mainly dominated by three critical parameters, i.e., the damper mass ratio, the lever length ratio (known as the inertia amplification ratio) and also the host structural damping. The proposed formulae for the TLIMD optimization are validated through the seismic analysis, where two classic inerter-based dampers (i.e., the tuned mass damper inerter (TMDI) and the tuned inerter damper (TID)) optimized by the numerical technique are included in the discussion. It is found that the TLIMD has a superior advantage in reducing the structure responses and also exhibits stronger robustness for the detuning condition than the classic inerter-based dampers. Furthermore, the increase in the damper mass ratio and the lever length ratio can be beneficial for enhancing its performance.https://www.mdpi.com/2076-3417/14/21/10059tuned lever inerter-like mass damperdual-equivalent linearization<i>H</i><sub>2</sub> normal optimizationvibration controlseismic response |
| spellingShingle | Kai Xu Weiwei Wang Hui Liang Aifeng Liu Jianmin Yang Jingzhou Gao Bei Chen <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations Applied Sciences tuned lever inerter-like mass damper dual-equivalent linearization <i>H</i><sub>2</sub> normal optimization vibration control seismic response |
| title | <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations |
| title_full | <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations |
| title_fullStr | <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations |
| title_full_unstemmed | <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations |
| title_short | <i>H</i><sub>2</sub> Optimization of a New Type of Tuned Lever Inerter-like Mass Damper (TLIMD) for Attenuating Structure Vibrations |
| title_sort | i h i sub 2 sub optimization of a new type of tuned lever inerter like mass damper tlimd for attenuating structure vibrations |
| topic | tuned lever inerter-like mass damper dual-equivalent linearization <i>H</i><sub>2</sub> normal optimization vibration control seismic response |
| url | https://www.mdpi.com/2076-3417/14/21/10059 |
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