Tuned mass-damper-inerter control of wind-induced vibration of flexible structures based on inerter location

Dai, Jun; Xu, Zhao‐Dong; Gai, Pan-Pan

doi:10.1016/j.engstruct.2019.109585

Cited by 110 publications

(64 citation statements)

References 42 publications

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“…1,2 Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc. [3][4][5][6][7] As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical [8][9][10][11][12] and railway engineering 13,14 to the protection of building structures, [15][16][17][18][19][20][21][22][23][24][25] storage tanks, [26][27][28] wind turbine towers, 29,30 platforms, 31 and performanceimproved cables [32][33][34][35] and isolation systems [36][37][38][39][40][41][42][43][44][45] in civil engineering. An inerter is a type of two-terminal inertia element, and its relative motion can be produced between the two termi...…”

Section: Introductionmentioning

confidence: 99%

“…Structural control plays a very important role in engineering by mitigating the dynamic responses of structures under different kinds of excitations . Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc . As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical and railway engineering to the protection of building structures, storage tanks, wind turbine towers, platforms, and performance‐improved cables and isolation systems in civil engineering.…”

Section: Introductionmentioning

confidence: 99%

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Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

116

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Summary Interactions among an inerter, spring, and energy dissipation element (EDE) in an inerter system can result in a higher energy dissipation efficiency compared to a single identical EDE, which is referred to as the damping enhancement effect. Previous studies have mainly concentrated on the vibration mitigation effect of the inerter system without an explicit consideration or utilization of the damping enhancement mechanism. In this study, the theoretical essence of the damping enhancement effect is discovered, and a universal design principle is proposed for an inerter system. A fundamental equation is found and demonstrated on the basis of closed‐form stochastic responses, which establishes a bridge between the damping deformation enhancement factor (DDEF) and the response mitigation ratio, thus clarifying the relationship of the damping enhancement effect and the response mitigation effect. Inspired by the equation, a novel damping‐enhancement‐based strategy is proposed to determine the key parameters of an inerter system. Following the performance‐demand‐based design philosophy, the parameters of the inerter system can be determined in the design condition of a target‐damping‐enhancement effect. Through the implementation of the damping enhancement equation, the damping parameter of an inerter system can be directly obtained by the prespecified DDEF and the displacement response mitigation ratio. The influence of parameters on the response mitigation effect and the damping enhancement effect is then investigated to determine ways of obtaining the other two parameters in an inerter system. Finally, design examples are conducted to verify the proposed strategy and the theoretical relationship revealed by the damping enhancement equation. The results show that the proposed design strategy explicitly utilizes the damping enhancement effect for vibration control, where the target of the DDEF is effective in enhancing the efficiency of the EDE for energy dissipation. In the design condition of the target DDEF, the implementation of the proposed damping enhancement equation provides an inerter system with a practical equation to determine the key parameters of an inerter system in a direct manner.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

116

View full text Add to dashboard Cite

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“…. 19) or to the earth denoted as gr = earth (Figure 1a,b). The pendulum mass of the classical TMD is connected to structural mass 20 as well ( Figure 1c) to ensure comparability with the results of the TMDI.…”

Section: Tmdi Propertiesmentioning

confidence: 99%

“…x 21 (19) This change in the inerter equation only impacts the mass matrix; the other matrices of (12) remain unchanged. For the inerter being grounded to the earth, the pendulum mass m 2 is augmented by the virtual mass b without introducing the virtual mass b at other locations in the mass matrix.…”

Section: Equations Of Motion With Tmdi Grounded To the Earthmentioning

confidence: 99%

“…This need has led to the development of real-time-controlled TMDs that evoke the same vibration reduction as passive TMDs, but with reduced pendulum mass [5][6][7][8][9]. In recent years, another approach has gained attention: the TMD with inerter (TMDI) [10][11][12][13][14][15][16][17][18][19][20][21][22]. The TMDI is a conventional TMD that is enriched by an inerter whose force is defined to be in proportion to the difference of the accelerations of both inerter terminals, i.e., it works as an ideal (frictionless) gyroscope [23].…”

Section: Introductionmentioning

confidence: 99%

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Performance of TMDI for Tall Building Damping

et al. 2020

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This study investigates the vibration reduction of tall wind-excited buildings using a tuned mass damper (TMD) with an inerter (TMDI). The performance of the TMDI is computed as a function of the floor to which the inerter is grounded as this parameter strongly influences the vibration reduction of the building and for the case when the inerter is grounded to the earth whereby the absolute acceleration of the corresponding inerter terminal is zero. Simulations are made for broadband and harmonic excitations of the first three bending modes, and the conventional TMD is used as a benchmark. It is found that the inerter performs best when grounded to the earth because, then, the inerter force is in proportion to the absolute acceleration of only the pendulum mass, but not to the relative acceleration of the two inerter terminals, which is demonstrated by the mass matrix. However, if the inerter is grounded to a floor below the pendulum mass, the TMDI only outperforms the TMD if the inerter is grounded to a floor within approximately the first third of the building’s height. For the most realistic case, where the inerter is grounded to a floor in the vicinity of the pendulum mass, the TMDI performs far worse than the classical TMD.

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Experimental validation, analytical investigation, and design method of tuned mass damper‐clutching inerter for robust control of structures

Wang

Zheng

2022

Earthq Engng Struct Dyn

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Inerters have significantly uplifted the cost‐effectiveness of structural control technologies. A recently proposed tuned mass damper‐clutching inerter (TMDCI) takes advantage of both mass amplification effect and energy absorption capacity of inerter which is more effective and practical than its predecessors. However, the existing study only provided numerical demonstrations while experimental evidence and analytical explanation are still lacking for in‐depth understanding of the dynamic properties and working principles of TMDCIs. In this study, the mathematical descriptions of TMDCIs are first developed and experimentally validated on a three‐story structure. The validated model is then used to analyze the influences of inerter arrangement and total inertance in inerter‐enhanced devices. With an appropriate inerter arrangement and inertance, the TMDCI shows excellent control performance regardless of the changes in the structural frequency. The reason for the strong robustness of TMDCIs is then revealed via analytical investigation of standalone TMDCIs; the harmonically forced steady‐state responses manifest that the TMDCI can be linearized as equivalent tuned mass damper‐inerters with variable parameters whose natural frequency increases with the increase of excitation frequency. Based on the analytical findings, a design method with robustness consideration is subsequently proposed and draws satisfactory TMDCI designs for both single‐degree‐of‐freedom and multi‐degree‐of‐freedom structures. The designed TMDCI outperforms the comparable devices for both impulsive and seismic response mitigation. The study provides analytical insight into the control capacity of TMDCIs and lays the groundwork for practical design of TMDCIs as an effective and robust control strategy for engineering structures.

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Tuned mass-damper-inerter control of wind-induced vibration of flexible structures based on inerter location

Cited by 110 publications

References 42 publications

Damping enhancement principle of inerter system

Damping enhancement principle of inerter system

Performance of TMDI for Tall Building Damping

Experimental validation, analytical investigation, and design method of tuned mass damper‐clutching inerter for robust control of structures

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