On the optimal design and robustness of spatially distributed tuned mass dampers

Costa, Mariana Marcolino; Castello, Daniel A.; Magluta, Carlos; Roitman, Ney

doi:10.1016/j.ymssp.2020.107289

Cited by 22 publications

(6 citation statements)

References 60 publications

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“…With the proposed ATID-P, the stiffness ratio  can be effectively adjusted by changing the proportional feedback gain 0 g according to Eq. (7). For example, a large value of  can be obtained when 0 g falls in the range (  1, 0 − where  increases as 0 g approaches -1.…”

Section: Parameters Optimisationmentioning

confidence: 96%

“…In this regard, proper damping techniques need to be considered in parallel with the future design of lightweight structures. Vibration absorbers, especially tuned mass dampers (TMDs) are often used for such purpose [3][4][5][6][7]. A TMD typically consists of a proof mass and a spring-dashpot pair added to the primary structure as an auxiliary system [8].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental study on active tuned inerter-dampers: Application to active damping using force feedback

Zhao

Paknejad

Raze

et al. 2021

Journal of Sound and Vibration

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Section: Parameters Optimisationmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Experimental study on active tuned inerter-dampers: Application to active damping using force feedback

Zhao

Paknejad

Raze

et al. 2021

Journal of Sound and Vibration

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“…The frequency ratio of these two branch resonance points can be obtained as (the detailed derivation is shown in Appendix B)

({, \begin{array}{c} β_{2 normalM} goodbreak= \sqrt{\frac{(2 + 2 {μ_{2}}^{2} - γ_{2}) + \sqrt{{((), γ_{2} goodbreak+ 2 {μ_{2}}^{2} goodbreak- 2)}^{2} + 8 {μ_{2}}^{2} α_{2}}}{4}} \\ β_{2 normalN} goodbreak= \sqrt{\frac{(2 + 2 {μ_{2}}^{2} - γ_{2}) - \sqrt{{((), γ_{2} goodbreak+ 2 {μ_{2}}^{2} goodbreak- 2)}^{2} + 8 {μ_{2}}^{2} α_{2}}}{4}} \end{array})

where subscript M and N represents the first and second branch resonance point, respectively. Many literatures have pointed out that if η 2M = η 2N , better performance of the TMD system will occur, so the maximum value of the dynamic coefficient η 2max = η 2M = η 2N can be deduced as 10,14,25,26

η_{2 \max} goodbreak= \frac{2}{\sqrt{{γ_{2}}^{2} + (2 - 3 γ_{2}) α_{2}}}

…”

Section: Analytical Model Of a Wtt With Ps‐tmdmentioning

confidence: 99%

“…Since how to design the TMD system with optimal parameters has been reported in many studies, 23,25–27 this section only tunes parameters of the PS‐TMD system, including optimal pre‐stress and damping ratio. And then design procedure of the proposed PS‐TMD system for the WTT is given.…”

Section: Design Procedures For the Ps‐tmd Systemmentioning

confidence: 99%

Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Liu

Lei

Wang

2021

Structural Contr & Hlth

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Summary With the development of megawatts wind turbines, excessive vibrations of the flexible and slender wind turbine tower under wind excitation have become increasingly prominent. To enhance implement ability of the passive control device for the tower, a new type of passive pre‐stressed tuned mass damper (PS‐TMD) is proposed in this study. A simplified mechanical calculation model of the tower with the PS‐TMD device is established, and the dynamic coefficient and vibration reduction mechanism are deduced through theoretical analysis. And then the design procedure including the optimal pre‐stress and damping coefficient for the proposed device is presented. The numerical simulation example shows that the tuning effect of PS‐TMD is better than the traditional tuned mass damper under the same conditions. The results from a shaking table test demonstrate that acceleration and dynamic displacement response are reduced about 20% and 30%, respectively.

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“…Applying vibration absorbers is an effective means of vibration mitigation. Traditional vibration absorbers, namely tuned mass dampers or linear vibration absorbers (LVAs), are widely used in the vibration mitigation of various systems, like multistory buildings [1], rectangular plates [2], and airfoil models [3]. The LVA is a simple mass-damping-spring structure, but it can only mitigate vibration in a narrow frequency band and may generate new resonance peaks.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Wang

Ding

Chen

2021

Preprint

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Although a linear vibration absorber (LVA) or nonlinear energy sink (NES) can effectively mitigate the vibration of the main system in harmonic excitation, the amplitude of the absorber can be very large. Using the single-objective differential evolutionary (DE) algorithm, this paper pioneers the global control of the main system and a bistable NES to achieve decent vibration mitigation effects and decrease the global response of the system. Using the multi-objective DE algorithms and comparing the optimization results of the LVA, this paper proposes multi-objective and multi-parameter design criteria of a bistable NES. The mass ratio, the displacement amplitude, and the mechanical energy are optimization goals. The results show that the maximum amplitude of the main system and the absorber can be controlled at the same level, and the global control strategy does not change the resonance frequency of the main system. Compared with the LVA, the bistable NES has similar vibration mitigation effects with the variation of the mass ratio in the multi-objective optimization. However, the bistable NES can achieve better control over a larger spring stiffness range. Therefore, through single- and multi-objective optimization design, this paper proves the superiority of the bistable NES in the vibration mitigation. Meanwhile, this paper provides an optimization design method for global vibration control.

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On the optimal design and robustness of spatially distributed tuned mass dampers

Cited by 22 publications

References 60 publications

Experimental study on active tuned inerter-dampers: Application to active damping using force feedback

Experimental study on active tuned inerter-dampers: Application to active damping using force feedback

Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

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