Equivalent Linearization Methods for a Control System with Clutching Inerter Damper

Li, Luyu; Liang, Qigang; Qin, Haixu

doi:10.3390/app9040688

Cited by 14 publications

(13 citation statements)

References 31 publications

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“…Compared with the inerter, the CID has better control for the displacement reduction of both the short-period structures and the long-period structures. Considering the inherent nonlinearity of the CID, several equivalent linearization methods have been developed in previous studies (Li et al, 2019; Wang and Sun, 2018).…”

Section: Establishment Of Ctmd Modelmentioning

confidence: 99%

Optimal design for a novel inerter-based clutching tuned mass damper system

Liang

2020

Journal of Vibration and Control

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In this article, a clutching inerter damper is introduced into the conventional tuned mass damper to replace the typical damping element. Regarding the limitation of the typical damping element, the reformed clutching tuned mass damper system is more flexible in parameter design than the optimal tuned mass damper, which may be constrained by the manufacturing process to realize the too small or too large damping coefficient. To investigate the effectiveness of the clutching tuned mass damper, some fundamental analyses are first conducted on the clutching tuned mass damper, and results show that the clutching tuned mass damper system can achieve a similar control effect to the optimal tuned mass damper design. Considering the inherent nonlinearity of the clutching tuned mass damper, the equivalent linearization is performed based on the equivalent linearization parameters drawn from the single-degree-of-freedom system with clutching inerter damper. The equivalent linear system of the clutching tuned mass damper system has been proved to be quite accurate to approximate the nonlinear clutching tuned mass damper system. Based on the equivalent linear system, the performance evaluation and optimal design of the clutching tuned mass damper system are carried out by numerical analysis and analytical solution. Results have shown that there is an optimum inertance for the clutching tuned mass damper to achieve the optimal performance, and the optimum inertance is related to the structural damping ratio and the tuned mass ratio. Finally, the effectiveness of the clutching tuned mass damper system and its equivalent linear system in a multi-degree-of-freedom structure is verified by a numerical study.

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Section: Establishment Of Ctmd Modelmentioning

confidence: 99%

Optimal design for a novel inerter-based clutching tuned mass damper system

Liang

2020

Journal of Vibration and Control

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“…The clutch can prevent the inerter from pushing the structure to move when the structural velocity begins to reduce, which mitigates the response of the structure further compared with the rotational inerter. Previous study by the authors has indicated that the CID can be regarded as a combination of an inerter and a viscous damper for a single degree‐of‐freedom (DOF) system …”

Section: Introductionmentioning

confidence: 99%

“…Previous study by the authors has indicated that the CID can be regarded as a combination of an inerter and a viscous damper for a single degree-of-freedom (DOF) system. 9 Many inerter-based devices have been proposed in the field of vibration control. [10][11][12][13][14] Ikago et al 11 proposed a novel device called tuned viscous mass damper reformed by a supplemental oscillator and the viscous mass damper, of which the superiority has been verified by analytical results and the shaking table test.…”

Section: Introductionmentioning

confidence: 99%

Effect of inerter for seismic mitigation comparing with base isolation

Liang

2019

Struct Control Health Monit

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Summary In this paper, the effect of inerter arranged at the bottom of the structure on seismic mitigation is studied in comparison with base isolation system (BIS). First, a simplified two degree‐of‐freedoms (DOFs) structure is used to study the influence of the inerter on the modal characteristics and the transfer function of the structure by means of the analytical solutions. Second, regarding a multiple DOFs structure, an H2‐norm‐based parameter optimization algorithm is used to find the optimal inertance‐mass ratio, which is corresponding to the optimal structural damping performance. Finally, a numerical study is conducted to verify the feasibility of the optimization algorithm and the damping effect under the optimal parameters by simulations with artificial seismic waves. Related results have shown that with the increase of inertance, the addition of inerter in substructure is also effective in reducing the basic natural frequency and changing the first‐order mode as BIS does. The H2‐norm evaluation of the simplified model shows the existence of the optimal inertance‐mass ratio, which is finally verified by the optimization results on the multiple DOFs structure. Results have indicated the superiority of the inerter‐based systems compared with the BIS in terms of the less dependence on site conditions, the better controlled displacement of the substructure and superstructure, and the less seismic energy input to the structure.

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“…In this special issue, both modeling and applications related to inerter dampers are addressed. On the modeling side, new equivalent linearization methods for a control system with a clutching inerter damper are developed [25], and on the application side, the inerter dampers are applied to the vibration control of suspended structures [26] and cables [27]. The inerter dampers are effective in reducing structural vibrations.…”

mentioning

confidence: 99%

“…In summary, the topics in the special issue include new damping materials development [37], new damper vibration modeling, novel algorithms for active vibration control [44,45], novel passive damping methods and devices [25][26][27][28][29][30], innovative energy dissipation devices [38][39][40], and an explorative characterization of materials for energy dissipation [33], among others. For the future trends of research in energy dissipation for vibration control, two avenues should be noted.…”

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confidence: 99%

Editorial for Special Issue “Energy Dissipation and Vibration Control: Materials, Modeling, Algorithm, and Devices”

Song

Cai

2020

Applied Sciences

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Many engineering systems, from subsea pipelines to space structures, from moving vehicles to stationary skyscrapers, are subject to unwanted vibration excitations. Often vibration control can be considered as a problem of energy dissipation and vibration damping. The aims of this issue are to accumulate, disseminate, and promote new knowledge about vibration control, especially for topics related to energy dissipation methods for vibration damping. Topics in this issue reflect the start-of-the-arts in the field of vibration control, such as inerter dampers and pounding tuned mass dampers (PTMDs). This special issue also reports other types of new energy dissipation devices, including a multi-unit particle damper, a nonlinear eddy current damper, and layered dampers. Also reported in this issue are structural elements with innovative designs to dissipate energy. In addition, this special issue also reports two research studies on the dynamic responses of a structural foundation and an earth-retaining structure. Though most papers in this special issue are related to passive methods, one paper reports a semi-active vibration control via magnetorheological dampers (MRDs), and another two papers report active vibration controls using piezoelectric transducers and inertial actuators, respectively.

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Equivalent Linearization Methods for a Control System with Clutching Inerter Damper

Cited by 14 publications

References 31 publications

Optimal design for a novel inerter-based clutching tuned mass damper system

Optimal design for a novel inerter-based clutching tuned mass damper system

Effect of inerter for seismic mitigation comparing with base isolation

Editorial for Special Issue “Energy Dissipation and Vibration Control: Materials, Modeling, Algorithm, and Devices”

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