Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system

Zhang, Ruifu; Zhao, Zhipeng; Dai, Kaoshan

doi:10.1016/j.engstruct.2018.11.020

Cited by 183 publications

(71 citation statements)

References 41 publications

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“…Based on fixed‐point theory (tuning theory), Ikago et al provided close‐form optimum design equations for the TVMD. The optimum design formula based on the fixed‐point method has also been used in some studies . Taking both the response control and cost savings into consideration, Pan et al proposed a demand‐based optimum design methodology for structures with an inerter system to achieve the desired seismic performance level of the primary structure with an optimum control cost.…”

Section: Introductionmentioning

confidence: 99%

“…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%

“…The optimum design formula based on the fixed-point method has also been used in some studies. 30,67,68 Taking both the response control and cost savings into consideration, Pan et al 69 proposed a demand-based optimum design methodology for structures with an inerter system to achieve the desired seismic performance level of the primary structure with an optimum control cost. The inerter element usually does not work individually; instead, it needs to be combined with other mechanical elements to suppress the structural vibration more efficiently.…”

Section: Introductionmentioning

confidence: 99%

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Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

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101

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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%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

Self Cite

101

View full text Add to dashboard Cite

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“…2020, 10, 257 7 of 19 with the DDIS by premultiplying with u T and integrating over the time domain. The energy balance equation in the time domain is given by: e total (t) = e k (t) + e e,s (t) + e d (t) + e DDIS (t) (13) where the total input energy e total (t) is composed of structural kinetic energy e k (t), structural elastic strain energy e e,s (t), structural inherent damping dissipated energy e d (t), and DDIS-dissipated energy e HDIS (t). With particular regard to the three elements of the DDIS, e DDIS (t) is the result of kinetic energy e k,DDIS (t), elastic strain energy e e,DDIS (t), and DDE-dissipated energy e d,DDIS (t).…”

Section: Energy Balance Analysismentioning

confidence: 99%

“…Among these devices, inerter systems have been found to be very effective owing to their tuning frequency, mass enhancement, and damping enhancement mechanisms [1][2][3]. The performance evaluation and benefits of inerter-based systems for the protection of building structures [4][5][6][7][8], storage tanks [9][10][11], wind turbine towers [12][13][14], semi-submersible platform [15], and for vibration suppression of cables [16,17], machine [18] and suspension systems [19,20] have been studied in recent literature. An inerter is a mechanical element with two terminals [21][22][23][24][25] and ideally produces a resistive force proportional to its inner relative acceleration and large apparent mass designated as inertance.…”

Section: Introductionmentioning

confidence: 99%

Displacement-Dependent Damping Inerter System for Seismic Response Control

et al. 2019

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Various inerter systems utilizing velocity-dependent damping for vibration control have been developed. However, a velocity-dependent damping element may exhibit relatively poor performance compared to a displacement-dependent damping element (DDE) of equivalent damping ratio, when the structural deformation is small in the early stage of the seismic response. To address this issue, the advantage of DDE in generating a larger control force in the early stage of excitation is promoted here and enhanced by a supplemental inerter-spring-system, thus realizing a proposed novel displacement-dependent damping inerter system (DDIS). First, the influence of various DDIS-parameters is carried out by resorting to the stochastic linearization method to handle non-linear terms. Then, seismic responses of the DDIS-controlled system are evaluated in the time domain taking the non-linearity into account, thus validating the accuracy of the stochastic dynamic analysis. Several design cases are considered, all of which demonstrated damping enhancement and timely control achieved by the DDIS. The results show that the energy dissipation as well as reduction of structural displacement and acceleration accomplished by the proposed system are significant. DDIS suppresses structural responses in a timely manner, as soon as the peak excitation occurs. In addition, it is demonstrated that interactions among the inerter, spring, and DDE, which constitute the damping-enhancement mechanism, lead to a higher energy-dissipation efficiency compared to the DDE alone. enhancement mechanism. Arakaki et al. [27,28] utilized the rotation mechanism to amplify the effective damping force of a viscous damper, which is a type of velocity-dependent damping element (VDE). However, these devices did not explicitly use the mass enhancement effect until Ikago et al. [1] proposed the tuned viscous mass damper, which belongs to a type of velocity-dependent damping inerter system (VDIS). The performance of the tuned viscous mass damper control system was subsequently investigated via shaking table tests conducted on single-story systems equipped with scaled-down versions of the damper [29]. Garrido et al. [30] proposed a rotational inertia double-tuned mass damper by replacing the viscous damping of the tuned mass damper with a tuned viscous mass damper, which achieved significantly greater control than the tuned mass damper with similar additional mass ratio. Through the incorporation of an electromagnetic damper, which is a type of VDE, Nakamura et al. [31] developed an electromagnetic inerter mass damper with variable damping force. Asai et al. [32,33] achieved enhanced energy-harvesting performance using a tuned inerter. Zhang et al. [10,34] proposed an isolation inerter system that used an inerter and a VDE to mitigate the vibration of a storage tank. The effect of the mechanical layout of the system was also investigated and considered in the development of a demand-based optimal design method for the system. Ikago et al. [1] presented the closed-form ...

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Optimal design of a novel high‐performance passive non‐traditional inerter‐based dynamic vibration absorber for enhancement vibration absorption

Baduidana

Kendo‐Nouja

Kenfack-Jiotsa

et al. 2022

Asian Journal of Control

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This paper proposes a novel high‐performance passive non‐traditional inerter‐based dynamic vibration absorber (NIDVA), tuned by the H∞ optimization using the patternsearch solver in MATLAB with the starting points, the optimum parameters based on the extended fixed points theory (EFPT). Then, the control performance of the proposed NIDVA is compared with the classic DVA and the high‐performance passive non‐traditional inerter‐based dynamic vibration absorber (NIDVA‐C4). Based on the optimum parameters under harmonic force excitation, the relative dynamic performance index (%RDP) of the proposed NIDVA registered improvements of 31%–63% and 54%–72% with respect to the NIDVA‐C4 and classic DVA, respectively, considering the mass ratio range from 1% to 10%. Regarding the suppression bandwidth index (%SB) for the mass ratio of 5%, the NIDVA can enlarge the SB by 50% and 62% with respect to NIDVA‐C4 and classic DVA, respectively. For the white noise excitation, more than 38%–64% and 53%–69% improvement of random vibration reduction can be obtained from NIDVA with respect to NIDVA‐C4 and classic DVA, respectively. Accordingly, results of this study provide some technical information to design more effective vibration control device in engineering practices.

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Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system

Cited by 183 publications

References 41 publications

Damping enhancement principle of inerter system

Damping enhancement principle of inerter system

Displacement-Dependent Damping Inerter System for Seismic Response Control

Optimal design of a novel high‐performance passive non‐traditional inerter‐based dynamic vibration absorber for enhancement vibration absorption

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