Input energy reduction principle of structures with generic tuned mass damper inerter

Zhao, Zhipeng; Zhang, Ruifu; Pan, Chao; Chen, Qingjun; Jiang, Yiyao

doi:10.1002/stc.2644

Cited by 21 publications

(5 citation statements)

References 50 publications

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“…Inerters are known as two-terminal devices whose terminals can move freely to provide a resisting force that is proportional to their relative acceleration due to its mass amplification effect [26][27][28]. In particular, these properties are often used in vibration reduction problems [29], where only by tuning the properties of the inerter device [30,31] one can achieve optimal vibration absorption [32]. The dynamic mass-amplifying effect of inerters was applied in [33] to investigate longitudinal elastic wave propagation characteristics of acoustic metamaterials with different inerter configurations.…”

Section: Introductionmentioning

confidence: 99%

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Cajić

Karličić²,

Christensen

et al. 2023

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Cajić

Karličić²,

Christensen

et al. 2023

Journal of Sound and Vibration

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“…Alternatively, Marian and Giaralis (2014) proposed to place an inerter between the primary structure and the mass of a conventional TMD to constitute a TMD inerter (TMDI) and used it to suppress the vibration of the stochastically support-excited structural system. Zhao et al (2021) studied the stochastic response and energy balance of the TMDI-equipped system and found that the inerter can reduce the input energy. Wang and Giaralis (2021) investigated the influence of the elastic and mass properties of the primary structure to TMDI control performance.…”

Section: Introductionmentioning

confidence: 99%

A unified method for parameter optimization and dynamic characteristics analysis of tuned mass damper inerter

Peng

Zhang

2023

Journal of Vibration and Control

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To enhance the performance of the tuned mass damper (TMD), an inerter has recently been incorporated into a conventional TMD system to constitute a new type of an inerter-based passive control system, namely, tuned mass damper inerter (TMDI). The present study proposes a unified design idea for the TMDI based on the Kramers–Kronig relations in the complex effective mass. The TMDI is equivalent to a combination of a static mass and a conventional TMD, and the theoretical links between the TMDI and conventional TMD have been established. Based on the proposed method, the performance of the TMDI is investigated combined with the existing dynamic characteristics of the conventional TMD. It is concluded that the proposed design idea is feasible, and the previously reported dynamic characteristics of the TMDI can be well demonstrated. Moreover, the mass ratio of the equivalent TMD can be used to compare the control performance of the TMDI and TMD, and when it is larger than the physical mass ratio, the inerter enhances the control performance of the TMD.

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“…This paper compared the most important approaches and the methods exploiting the concept of control theory without adding new degrees of freedom into the system. In [25], a generic tuned mass damper inerter (GTMDI) is presented. In this study, an intrinsic effect of the reduction in the input energy of the structure based on GTMDI is proved: the inerter reduces the input energy, which is transmitted into the controlled structures.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of a Leaf Flexure Compliant Mechanism Based on 2-DOF Tuned Mass Damping Stage Analysis

2022

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This study proposed an innovative design of a leaf flexural-based 2-DOF tuned mass damping stage that can be integrated into a micro-electromechanical system precision positioning stage to reduce the displacement response of the precision positioning stage excited by a specific vibration frequency and to achieve the damping effect and vibration reduction without adding viscous damping materials. A prototype that conforms to dual-axis decoupling and has 2-DOF translation capability was designed using parallel and vertical arrangements of a leaf flexure. The Taguchi design method and the finite element method were used on the relevant design parameters of the primary mass stage to determine the best size configuration for the maximum off-axial stiffness ratio and the parameters of the tuned mass damper closest to the natural frequency of the primary mass stage with the minimum deflection. In addition, an optimization module, based on a genetic algorithm (GA), was used to optimize the design of the flexure size of the tuned mass damper. Finally, experiments were conducted, the vibration displacement response of the primary mass stage was observed, and the effect with or without the addition of tuned mass damping on the system vibration response was compared. The results indicate that the tuned mass damper can effectively reduce the response amplitude of the stage, where the maximum reduction rate in the experiment was 63.0442%, and the mass of the damper was highly positively correlated with the amplitude reduction.

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Input energy reduction principle of structures with generic tuned mass damper inerter

Cited by 21 publications

References 50 publications

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

A unified method for parameter optimization and dynamic characteristics analysis of tuned mass damper inerter

Optimal Design of a Leaf Flexure Compliant Mechanism Based on 2-DOF Tuned Mass Damping Stage Analysis

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