Synthesis of mechanical networks: the inerter

Smith, Malcolm

doi:10.1109/cdc.2002.1184758

Cited by 279 publications

(537 citation statements)

References 14 publications

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“…1(b), in which the absorber mass is suspended to the flexible structure via a spring and a viscous damper. Mechanical vibration absorbers with two terminal connections can be realized by combining springs and dampers with so-called inerter elements [3,4], where the inertance is produced by for example a ball-screw driving a flywheel [4,5]. Inerter based vibration absorbers have recently been proposed for vibration suppression of structures in [6,7], while [8] considers the calibration of various types of inerter-based absorbers.…”

Section: Introductionmentioning

confidence: 99%

Resonant passive–active vibration absorber with integrated force feedback control

Høgsberg

Brodersen

Krenk

2016

Smart Mater. Struct.

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A general format of a two-terminal vibration absorber is constructed by placing a passive unit in series with a hybrid unit, composed of an active actuator in parallel with a second passive element. The displacement of the active actuator is controlled by an integrated feedback control with the difference in force between the two passive elements as input. This format allows passive and active contributions to be combined arbitrarily within the hybrid unit, which results in a versatile absorber format with guaranteed closed-loop stability. This is demonstrated for resonant absorbers with inertia realized passively by a mechanical inerter or actively by the integrated force feedback. Accurate calibration formulae are presented for two particular absorber configurations and the performance is subsequently demonstrated with respect to both equal modal damping and effective response reduction.

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Section: Introductionmentioning

confidence: 99%

Resonant passive–active vibration absorber with integrated force feedback control

Høgsberg

Brodersen

Krenk

2016

Smart Mater. Struct.

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“…The inerter was introduced by Smith [11] and used in modern suspension systems for Formula 1 racing cars [12]. The inerter is the mechanical equivalent of the capacitor, thus completing the force-current analogy between mechanical and electrical networks.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Cables with Attached Tuned-Inerter-Dampers

Lazar

Neild

Wagg

2015

Conference Proceedings of the Society for Experimental Mechanics Series

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Cables are widely used structural elements capable of bearing tensile forces and experience vibration problems due to their slenderness and low mass. In the field of civil engineering, they are mostly used in bridges where the vibrations are mainly induced by wind, rain, traffic and earthquakes. This paper proposes the use of a tuned-inerter-damper (TID) system, mounted on cables to suppress unwanted vibrations. These are to be attached transversally to the cable, in the vicinity of the support, connected between the deck and the cable. The potential advantage of using a TID system consists in the high apparent mass that can be produced by the inerter. Our analysis showed that the modal damping ratio obtained is much higher than in the case of traditional dampers or tuned mass dampers, leading to an improved overall response. An optimal tuning methodology is also discussed. Numerical results are shown with a cable subjected to both free and forced vibrations and the TID performance is improved when compared with equivalent dampers.

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“…Recently, the inerter, a concept of mechanical network introduced by Smith et al [11,12], has been adopted from vehicle suspensions for the use in civil engineering for improving the performance of vibration control and displacement mitigation. The inerter produces a proportional force due to the relative acceleration.…”

Section: Introductionmentioning

confidence: 99%

Seismic control of a SDOF structure through electromagnetic resonant shunt tuned mass-damper-inerter and the exact H2 optimal solutions

Sun¹,

Luo²,

Wang³

et al. 2017

J. vibroeng.

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Abstract. This paper proposes a novel inerter-based component dynamic vibration absorber, namely, electromagnetic resonant shunt tuned mass-damper-inerter (ERS-TMDI). To analyze the performances of the ERS-TMDI, the combined ERS-TMDI and a single degree of freedom system are developed. The norm performances of the ERS-TMDI, whose aim is to minimize the root mean square (RMS) value of structure damage under random ground acceleration excitation, are introduced in comparison with the energy-harvesting series electromagnetic tuned mass dampers (ERS-TMDs), tuned mass-damper-inerter (TMDI) and the classical tuned mass damper (TMD). The closed-form solutions, including the optimal mechanical tuning ratio, the optimal electrical damping ratio, the optimal electrical tuning ratio and the optimal electromagnetic mechanical coupling coefficient, are obtained. It is shown that the ERS-TMDI is superior to both the classical TMD and the ERS-TMD systems for protection from structure damage. Specifically, from the frequency-domain analyses, a case study is performed to illustrate the effectiveness, robustness of the ERS-TMDI and the sensitivity to the parameter changes. From the time-domain analyses, four types of earthquakes are studied to demonstrate the performances of vibration suppression.

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Synthesis of mechanical networks: the inerter

Cited by 279 publications

References 14 publications

Resonant passive–active vibration absorber with integrated force feedback control

Resonant passive–active vibration absorber with integrated force feedback control

Performance Analysis of Cables with Attached Tuned-Inerter-Dampers

Seismic control of a SDOF structure through electromagnetic resonant shunt tuned mass-damper-inerter and the exact H2 optimal solutions

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