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Input energy reduction principle of structures with generic tuned mass damper inerter
Author(s) -
Zhao Zhipeng,
Zhang Ruifu,
Pan Chao,
Chen Qingjun,
Jiang Yiyao
Publication year - 2021
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2644
Subject(s) - damper , tuned mass damper , control theory (sociology) , dissipation , reduction (mathematics) , displacement (psychology) , power (physics) , energy (signal processing) , retrofitting , engineering , structural engineering , computer science , mathematics , control (management) , physics , psychology , geometry , statistics , quantum mechanics , artificial intelligence , psychotherapist , thermodynamics
Summary The incorporation of the inerter with tuned mass damper yields the inerter‐based tuned mass damper that has been verified as effective lightweight or performance‐enhanced control devices. This study theoretically proved an intrinsic effect, namely, the input energy reduction, that the inerter reduces the input energy transmitted into the controlled structures from ground motion. A generic tuned mass damper inerter (GTMDI) including two separating inerters (the total inertance keeps constant) is analyzed to facilitate a universal analysis of typical inerter‐based tuned mass dampers. Closed‐form displacement and power equations are derived for the GTMDI to reveal and clarify the working mechanisms, especially the functionality of inerters. Correspondingly, an energy‐based design framework is established for the design of a new GTMDI and the retrofitting of an existing tuned mass, in which the inertances distributed on the two separating inerters are optimized to make GTMDI outperform the conventional TMDI. Finally, a series of examples verified the discovered effect and derived power equation of GTMDI. In this study, two derived equations confirm that the GTMDI possesses dual benefits, referring to the input energy reduction and the enhanced dissipation power effects. The required physical mass of the GTMDI is relieved due to the reduced input energy, which essentially lays the foundation for lightweight control. The developed energy‐based design framework is suitable for utilizing the dual benefits of GTMDI with a clear physical basis, where the introduced two separating inerters are designed with optimized inertances to guarantee the displacement control demand with a minimized total energy cost.