Influence of inerter on natural frequencies of vibration systems

Chen, Michael Z. Q.; Hu, Yinlong; Huang, Lixi; Chen, Guanrong

doi:10.1016/j.jsv.2013.11.025

Cited by 180 publications

(74 citation statements)

References 25 publications

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“…In what follows, a detailed investigation on the magnitudes at some special frequencies will be carried out. As pointed out in [28], the parallel-connected inerter with one of its terminals grounded can effectively enlarge the mass that is connected at the other terminal. Hence, the natural frequency of the isolation system ω np can be obtained as…”

Section: Remark 3 For the Parallel Connection Of A Spring And A Dampementioning

confidence: 99%

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Vibration analysis for isolation system with inerter

Chen

Shu

et al. 2014

Proceedings of the 33rd Chinese Control Conference

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Fundamental analysis of vibration system with inerter is carried out in this paper based on a "uni-axial" singledegree-of-freedom isolation system. The condition that force and displacement transmissibilities are identical is derived for all passive isolators composed of springs, dampers and inerters. Specifically, the inerter in parallel connection and the one in series connection are analyzed in terms of the invariant points and isolating bandwidth of the considered transmissibilities. It is analytically demonstrated that both the parallel-connected and the series-connected inerters can effectively lower the invariant points and enlarge the isolating bandwidth. It is also shown that the series-connected inerter can depict some mixed-behaviours between the configuration with only a spring and the configuration with a parallel connection of a spring and an inerter, due to its inherent property of the physical structure. The weakness of isolation at high frequency caused by inerter is also analytically demonstrated.

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Section: Remark 3 For the Parallel Connection Of A Spring And A Dampementioning

confidence: 99%

“…Equation (28) indicates that the series-connected inerter can also enlarge the isolating bandwidth, but not as significantly as the parallel-connected inerter does. Fig.…”

Section: Proposition 5 the Isolating Bandwidth Of Configurationmentioning

confidence: 99%

Vibration analysis for isolation system with inerter

Chen

Shu

et al. 2014

Proceedings of the 33rd Chinese Control Conference

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“…In addition, finding the optimal parameters of TMDs is a topic that has received interest in various studies. The application of inerters with different configurations to control vibrations in various structures has been studied in recent years; see for instance Scheibe [3], Wang [4] and [5], Hu [6], Chen [7][8][9], Brzeski [10] and Shen [11]. The combination of an inerter with a TMD to add apparent mass to the passive element has been investigated by Marian et al in [12] and the optimal parameters of the passive element are computed using a numerical solution.…”

Section: Introductionmentioning

confidence: 99%

Vibration Protection of a Famous Statue against Ambient and Earthquake Excitation Using A Tuned Inerter–Damper

et al. 2017

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This paper deals with the performance analysis of a vibration-isolation system for Michelangelo Buonarroti's famous Ronadanini Pietà statue based on the monitoring and analysis of vibration signals. A tuned mass-damper-inerter is introduced in order to increase the effectiveness of the isolator in the horizontal direction. Specifically, a multi-degree-of-freedom (MDOF) model for the system, including non-linear terms, is proposed. The monitoring data of the structure inside the museum were utilized to update the MDOF model of this structure. Then, the effect of different parameters was analysed, and some modifications proposed to enhance the efficiency of the isolation system in its working condition. A combination of tuned mass-dampers (TMD) with an inerter is proposed to attain a considerable increase in the performance of the isolation system based on the main feature of the tuned mass-damper-inerter (TMDI), which can apply high apparent mass to a system without adding considerable real mass to the original system. Various performance functions are used to illustrate the efficiency of the proposed TMDI. It is shown that a significant effect of this passive method is to reduce the level of vibration in the updated model of this sensitive and valuable object.

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“…For example, in railway vehicles', suspensions [12][13][14], in devices that absorb impact forces [15] or protect buildings from earthquakes [16,17]. In [18], authors study the influence of the inerter on the natural frequencies of vibration systems. They propose different constructional solutions of one-and two-degree-of-freedom systems and present how the inerter influences their dynamics.…”

Section: Introductionmentioning

confidence: 99%

Effects of play and inerter nonlinearities on the performance of tuned mass damper

Brzeski

Perlikowski

2016

Nonlinear Dyn

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In this paper, we analyze the dynamics of tuned mass dampers with inerters. In the beginning, we describe the influence of inertance value with respect to the overall mass of the damping device. For further analysis, we pick three practically significant caseseach corresponding to different composition of tuned mass damper inertia. Then, we focus on the effects caused by different types of inerters' nonlinearities. Viscous damping, dry friction and play in the inerter gears influence the dynamics of the tuned mass damper and affect its damping efficiency. Finally, we examine the dynamics of the model that incorporates all of these factors and propose its simplification which is genuine but more convenient. Our results show how to adjust the inerter type and the parameters depending on our needs and intended application. The knowledge on how to model the behavior of tuned mass dampers with inerters will be of practical use to engineers working with mechanical dampers.

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Influence of inerter on natural frequencies of vibration systems

Cited by 180 publications

References 25 publications

Vibration analysis for isolation system with inerter

Vibration analysis for isolation system with inerter

Vibration Protection of a Famous Statue against Ambient and Earthquake Excitation Using A Tuned Inerter–Damper

Effects of play and inerter nonlinearities on the performance of tuned mass damper

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