Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension

Shen, Yujie; Chen, Long; Yang, Xiaofeng; Shi, Dehua; Yang, Jun

doi:10.1016/j.jsv.2015.06.045

Cited by 171 publications

(85 citation statements)

References 23 publications

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“…An inerter was first applied to the suspension systems of Formula 1 racing cars [15] and was found to significantly improve the performance of the suspension systems. [16][17][18] It was subsequently utilized in other mechanical systems such as motorcycles, [19] trains, [20] optical tables, [21] aircraft landing gears, [22] storage tank, [23] and energy-harvesting systems. [24,25] There have also been attempts to use inerter-based systems to control the dynamic responses of civil structures.…”

Section: Introductionmentioning

confidence: 99%

Design of structure with inerter system based on stochastic response mitigation ratio

Pan

Zhang

2018

Struct Control Health Monit

110

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Summary An easy‐to‐use method for a practical design of single‐degree‐of‐freedom (SDOF) structures with inerter systems was developed. The method adopts the stochastic vibration response mitigation ratio as the design index, and expressions of the closed‐form stochastic response are used to evaluate the structural response and optimize the design parameters. Three basic types of inerter systems with tuning and damping magnification mechanisms were considered in this study. The closed‐form stochastic responses of SDOF structures with inerter systems under white‐noise excitations were derived on the basis of the equations of motion. In addition, the response variation patterns due to changes in key parameters of the inerter system were investigated, and the parameter optimization approaches for different inerter systems are proposed on the basis of the response variation patterns. The use of the closed‐form stochastic response mitigation ratio as the design index leads to a rational and simple design process, with the tuning or response extremum conditions employed as complementary conditions for determining the key design parameters. Thus, the proposed method involves the solution of a set of nonlinear equations. Fitted empirical design formulae are provided in this paper for quick calculation of the key parameters of the SDOF structure with the inerter system for a given response mitigation ratio and inherent damping ratio. Moreover, design examples are provided to verify the proposed method. The design results show that the proposed method is effective and more convenient than existing methods. Furthermore, the method can be easily extended for considering seismic excitations and design of structures with other complex‐form inerter systems.

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Section: Introductionmentioning

confidence: 99%

Design of structure with inerter system based on stochastic response mitigation ratio

Pan

Zhang

2018

Struct Control Health Monit

110

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“…The inerter can be realized in practice in several ways; prominent among these are the ball-screw and the rack-and-pinion inerters [3,6]. Figure 1a shows the CAD model of a ball-screw inerter design, which is based on commercial off-the-shelf components.…”

Section: Analytical Expressions For Specific Inertancementioning

confidence: 99%

Low-Rate Characterization of a Mechanical Inerter

Madhamshetty

Manimala

2018

Machines

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Abstract:In this study, improved analytical models, numerical parametric explorations, and experimental characterization are presented for a mechanical inerter to bring out dependencies for dynamic mass amplification under low rates (<5 Hz) of excitation. Two common realizations of the inerter-the ball-screw and the rack-and-pinion versions-are considered. Theoretical models incorporating component inertias and sizing were developed for both versions. The dependence of the specific inertance on key design parameters is explored through simulations. Based on these simulations, a prototype rack-and-pinion inerter delivering a specific inertance above 90 was designed, fabricated, and tested under low-rate displacement and acceleration-controlled excitations. The measured specific inertance was found to display an exponential decline with an increase in excitation frequency for both cases. Deviations from predictions are attributable to the frequency dependence of internal stiffness and damping in the fabricated prototype. Using a phase-matching procedure for a representative lumped model, the internal stiffness and damping in the prototype were estimated. Examination of the phase spectra reveals an influence of the excitation frequency on the internal stiffness, damping, and consequently specific inertance. Further, based on the results of this study, design perspectives for such mechanical inerters, which are seeing increasing use in several low-frequency applications, are also presented. It is envisioned that this approach can be utilized to subsume the specific nonlinear characteristics of individual inerters into a simple yet unsimplistic model that can be used to more efficiently and accurately predict the behavior of multi-element, inerter-based systems that employ them.

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“…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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Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension

Cited by 171 publications

References 23 publications

Design of structure with inerter system based on stochastic response mitigation ratio

Design of structure with inerter system based on stochastic response mitigation ratio

Low-Rate Characterization of a Mechanical Inerter

Displacement-Dependent Damping Inerter System for Seismic Response Control

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