Performance of a dual-stage inerter-based vibration isolator

Yang, Jian; Jiang, Jason Zheng; Zhu, Xiang; Chen, Hao

doi:10.1016/j.proeng.2017.09.097

Cited by 14 publications

(17 citation statements)

References 14 publications

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“…Recalling the backbone curve expression in Eq. (21) and frequency-response relationship in (17), it is found that the upper limits of input power and kinetic energy of the mass is reached at the intersection point of the backbone curve and the displacement response curve.…”

Section: Discussionmentioning

confidence: 93%

“…There is also limited study on power flow properties of inerter-based vibration mitigation systems. Vibration power flow analysis (PFA) approach has been widely used to assess the performance of linear vibration mitigation systems [18,19], including linear inerter-based vibration isolators [20,21]. This approach has been developed to reveal dynamics of nonlinear systems from energy flor viewpoint [22,23,24], and to evaluate nonlinear isolators [2,25] and dynamic vibration absorbers [26] .…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of the NIM to a linear spring-damper isolator and to nonlinear quasizero-stiffness (QZS) isolators is considered. The harmonic balance method is used to derive the steadystate frequency-response relationship and force transmissibility of the isolators subject to harmonic force excitations. Different performance indices associated with the dynamic displacement response and force transmissibility are employed to evaluate the performance of the resulting isolators. It is found that the frequency response curve of the inerter-based nonlinear isolation system with the NIM and a linear stiffness bend towards the low-frequency range, similar to the characteristics of the Duffing oscillator with softening stiffness. It is shown that the addition of NIM to a QZS isolator enhances vibration isolation performance by providing a wider frequency band of low amplitude response and force transmissibility. These findings provide a better understanding of the functionality of the NIM and assist in better designs of nonlinear passive vibration mitigation systems with inerters.

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Section: Discussionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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“…Three various types of inerter based TMDs are presented in Table 3. 17 Spring-damper-inerter (SDI) 23 Tuned mass damper inerter (TMDI) 4 Inerter isolation system (IIS) 24 Rotational inertia damper (RID) 17 Tuned inerter damper (TID) 25 Three element vibration absorber inerter (TEVAI) 26 Tuned inerter Damper Base isolation (TID-BI) 27 Viscous mass damper (VMD) 28 Inerter based dampers (IBD) 29 Tuned parallel inerter mass system (TPIMS) 30 Tuned viscous mass damper (TVMD) 15 Series 31 Zhang (2019) 30 3 TEVAI Javidialesaadi and Wierschem (2018) 26 Motivated by the aforementioned issues (prone to detuning effects and requiring a large mass to be effective in earthquakes), this study focuses on the robust optimum design of TMDI to control a benchmark 10-story base-excited shear building and to compare its performance with classical TMD in time domain. To this end, the H 2 and H ∞ norm (described in Section 3) of three different transfer functions (i.e., minimizing roof displacement, minimizing 7th-story displacement, and maximizing the TMD stroke) are selected as objective functions calculated for single, (TMD-SI8) and double inerter (TMD-DI8,9) configurations.…”

Section: Introductionmentioning

confidence: 99%

Statistical seismic performance assessment of tuned mass damper inerter

Kaveh

Farzam

Jalali

2020

Struct Control Health Monit

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Summary In this study, the robust optimum design of a recently developed passive control device, i.e., tuned mass damper inerter (TMDI) is investigated to control a 10‐story base‐excited shear building benchmark. The H2 and H∞ of three different objective functions (i.e., minimizing roof displacement, minimizing 7th‐story displacement, and maximizing the TMD stroke) are selected as objective functions for two different single and double inerter configurations. Optimum free vibration parameters of the TMDI (i.e., natural frequency and damping ratios) are calculated using a metaheuristic technique for two different structural damping values. Additionally, the performance of the optimum designed damper and its robustness under 25 far‐fault (FF) ground motions are assessed in the time domain with 12 different performance criteria (i.e., the mean and standard deviation of the maximum and norm of response histories for roof displacement, roof acceleration, and the total kinetic energy of the building). Based on current work, the best performance index for single TMDI for all three objective functions is the roof absolute acceleration, showing a maximum of 45% reduction in the mean maximum roof acceleration for 25 earthquake records. Therefore, the TMDI is most effective when the goal is to reduce the floor accelerations. The double inerter configuration shows approximately the same values for the performance indices for all three objective functions and demonstrates similar reduction for a single TMDI. However, it increases the robustness of the control method by adding redundancy and enhancing the performance for different combinations of inertance and mass ratios.

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“…Due to its mechanical property, the inerter has been observed as an efficient vibration attenuation device whose benefits are shown in many structures, for instance, vehicle suspensions, [13][14][15] train suspensions, 16 tuned mass dampers, [17][18][19][20] building vibration control systems, [21][22][23][24][25] landing gears, 26 nonlinear energy sinks, 27,28 and vibration isolators. [29][30][31][32][33][34][35] Here, the inerter applied in the vibration isolators is especially concerned. Hu et al 29 analyzed the dynamic performance for five kinds of vibration isolator using inerter, indicated that it could have a smaller transmissibility than the common linear one consists of damper and spring.…”

mentioning

confidence: 99%

“…Wang et al 30 studied the dynamic performance for eight types of vibration isolator with inerter according to four performance criteria and found that its isolation performance could be better than the common linear one; they 31 further proposed the semi-active control strategy to enhance the performance. Yang et al 32 analyzed the isolation performance of a two-stage vibration isolator with inerter and found that the vibration power flow decreases in a relatively wider frequency range. De Haro Moraes et al 33 considered the dynamic behavior of a vibration isolator using geometrically nonlinear inerter and showed that it could provide possible advantages in high-frequency band.…”

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confidence: 99%

Dynamic performance analysis of a mixed‐connected inerter‐based quasi‐zero stiffness vibration isolator

Yong

Cheng

et al. 2020

Struct Control Health Monit

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Summary An inerter‐based quasi‐zero stiffness (IQZS) vibration isolator is proposed to further enhance the dynamic performance of the QZS one. It combines the superior nonlinear stiffness characteristic of the QZS vibration isolator and the beneficial mass magnification effect of the inerter. The diamond‐shaped structure is used as the negative stiffness structure; an additional spring is added together with the inerter and damper to construct a novel IQZS vibration isolator, which the inerter and damper are first parallel connected and then series connected with the additional spring; it is a mixed‐connected (MC) type and termed as MC‐IQZS vibration isolator. The dynamic response of MC‐IQZS vibration isolator is acquired via harmonic balance method (HBM), and the isolation performance is evaluated using four performance criteria. The effects of the inerter and additional spring on its dynamic response and isolation performance are examined. The results show that the MC‐IQZS vibration isolator could have smaller displacement amplitude and force transmissibility peaks, wider isolation frequency band, and faster high‐frequency force transmissibility attenuation rate than the QZS one, and it can improve the four performance criteria simultaneously. Its isolation performance is further compared with another two typical types of IQZS vibration isolators where the inerter and damper are in parallel‐connected (PC) and series‐connected (SC), respectively, and they are denoted as PC‐IQZS and SC‐IQZS vibration isolators, respectively. The results demonstrate that the proposed MC‐IQZS vibration isolator could achieve the best isolation performance among the three IQZS ones, which offers an effective option for excellent vibration suppression in practical engineering.

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Performance of a dual-stage inerter-based vibration isolator

Cited by 14 publications

References 14 publications

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Statistical seismic performance assessment of tuned mass damper inerter

Dynamic performance analysis of a mixed‐connected inerter‐based quasi‐zero stiffness vibration isolator

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