Closed‐form design formulae for seismically isolated structure with a damping enhanced inerter system

Pan, Chao; Jiang, jieling; Zhang, Ruifu; Xia, Yuying

doi:10.1002/stc.2840

Cited by 15 publications

(6 citation statements)

References 43 publications

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“…The damping enhancement effect 57,58 of the inerter system refers to that the deformation of the inerter system’s internal degree of freedom may be greater than the deformation of the structure at the installation position of the inerter system under the dynamic loads. Therefore, the damping element in the inerter system can dissipate more energy, 29 as shown in Figure 2.…”

Section: Design Theory Of Inerter Systemmentioning

confidence: 99%

Optimization of inerter system for seismic response control based on a modified genetic algorithm with differential crossover strategy

Pan

Yang

Wang

2022

Advances in Mechanical Engineering

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The damping enhancement effect of the inerter system means that its energy dissipation efficiency can be improved with respect to the traditional dampers. Energy dissipation efficiency have been considered as the optimal design principle of the inerter system, however, the solution for optimized key parameters is difficult because of the special mechanical behavior of the inerter. A modified float-point encoding genetic algorithm is proposed in this study to realize the optimal design of the inerter system with maximized energy dissipation efficiency effectively and robustly. A novel and simple crossover strategy termed differential crossover is proposed and applied in the classical genetic algorithm to optimize the inerter system more effectively. The differential crossover strategy means that a new individual is generated based on the difference between two randomly selected individuals in the population. The mathematical expression for the optimization problem of the inerter system corresponding to the maximum energy dissipation efficiency design principle is established. Following the performance-oriented design concept, performance demand is taken as the constrained condition of the optimization problem. Case design confirms that the modified genetic algorithm can successfully solve the optimization problem of the inerter system and perform a better solving ability over the original genetic algorithms.

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Section: Design Theory Of Inerter Systemmentioning

confidence: 99%

Optimization of inerter system for seismic response control based on a modified genetic algorithm with differential crossover strategy

Pan

Yang

Wang

2022

Advances in Mechanical Engineering

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“…On the premise of avoiding adding considerable mass, the design of an inerter as a secondary oscillator to store input energy and protect the primary target from unacceptable vibration is one of the most efective strategies required to overcome the aforementioned difculties. Some studies [27][28][29][30][31][32][33] proposed mounting an inerter-based TMD system in which there is still a physical tuned mass block (i.e., the so-called tuned mass damper inerter or TMDI), and others [34][35][36][37][38][39][40][41][42] proposed mounting an inerter system in which there is no physical tuned mass block (i.e., the so-called tuned inerter damper or TID, which is the simplest design) between the ground and the target to be protected. Diferent equations of motion and optimization design procedures for various TMDI and TID designs and confgurations have been developed and numerically and experimentally demonstrated with a fair basis of comparison.…”

Section: Introductionmentioning

confidence: 99%

Acceleration-Based Design Procedure for Sloped Rolling-Type Bearings with an Added Rotational Inerter

Lai

Wang

Hsu

2023

Structural Control and Health Monitoring

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This research numerically investigates the mechanical behavior of sloped rolling-type bearings equipped with an inerter. After deriving equations of motion, the mechanical behavior, under harmonic excitation, of a sloped rolling-type bearing with its inherent rotational mass (i.e., considering the inertial and restoring forces generated by the existing roller) and one with an added rotational inerter is numerically analyzed. It is demonstrated that the latter is mechanically different from the former and, more importantly, the latter is more effective at controlling acceleration and displacement responses and practically more feasible. The acceleration control performance designed for sloped rolling-type bearings that ignore the inherent rotational mass can basically be retained when adding a rotational inerter if a suitable inertance-to-mass ratio can first be determined based on a specific acceleration target. Precisely stated, retaining the unique mechanical feature of sloped rolling-type bearings under harmonic excitation (i.e., the maximum transmitted acceleration is irrelevant to the external disturbance) is the optimum design objective in this study. Parametric and numerical analyses show that the peak acceleration responses of sloped rolling-type bearings with an added rotational inerter whose inertance-to-mass ratio is determined based on the optimum objective are less dependent on having a sufficiently large harmonic excitation period (i.e., on having the roller in motion within the sloped rolling range). In addition, the peak displacement responses under harmonic excitation can be effectively reduced compared with sloped rolling-type bearings that only consider the inherent rotational mass (i.e., without an added rotational inerter). Similar tendencies are seen when the sloped rolling-type bearings are subjected to ground motion records including far-field and pulse-like near-fault ones. Regardless of the ground motion considered in this study, the sloped rolling-type bearings with an added rotational inerter designed based on the optimum objective show steady displacement reduction. Finally, a simple, practical, and acceleration-based procedure is proposed for designing sloped rolling-type bearings equipped with added rotational inerters based on observations from the parametric and numerical analyses.

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“…24 The dynamic behavior and optimal parameters of a base-isolated structure with electromagnetic inertial mass dampers are presented by Wang et al 25 The performance of a tuned inerter damper and the optimum parameters for controlling the seismic response of isolated structures are also studied. [26][27][28] The energy dissipation capacity of the damper within the inerter system for seismically isolated structures is investigated by Pan et al 29 It is also demonstrated experimentally that a simplified linear dissipative model, rather than a nonlinear model with friction and gear backlash, can be used to achieve acceptable accuracy in the response of base-isolated structures supplemented with TMDI. 30 According to the above review, inertial devices are effective in controlling the response of structures.…”

Section: Introductionmentioning

confidence: 99%

Performance and optimal design of base‐isolated structures with clutching inerter damper

Jangid

2022

Structural Contr & Hlth

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The performance and optimal design of the base-isolated structure supplemented with clutching inerter damper (CID) subjected to seismic loading are investigated. Because of the nonlinear force-deformation behavior of the CID, the stochastic response of the isolated structure subjected to nonstationary earthquake excitation is obtained using the time-dependent equivalent linearization technique. To investigate the effects of nonstationary earthquake characteristics, the isolated structure's nonstationary response is compared to the corresponding stationary response. For a given isolated structural system and excitation, there exists an optimum value of the CID inertance at which the root mean square absolute acceleration of the superstructure achieves a minimum value. The effects of key parameters like superstructure flexibility, isolation period, and isolation damping ratio on the CID's optimal inertance are examined. The seismic response of base-isolated structures is also obtained under real earthquakes using the nonlinear model of the CID. The effects of the CID on the response of isolated structures under real earthquakes were found to be well correlated with those of stochastic analysis.Finally, for the approximate response and initial design of base-isolated structures, a closed-form expression for the equivalent damping of the CID is proposed. Using the equivalent inertance and damping of the CID, the bearing displacements and forces of isolated structures with the CID were found to be matching with that obtained by the nonlinear analysis. However, there can be

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Closed‐form design formulae for seismically isolated structure with a damping enhanced inerter system

Cited by 15 publications

References 43 publications

Optimization of inerter system for seismic response control based on a modified genetic algorithm with differential crossover strategy

Optimization of inerter system for seismic response control based on a modified genetic algorithm with differential crossover strategy

Acceleration-Based Design Procedure for Sloped Rolling-Type Bearings with an Added Rotational Inerter

Performance and optimal design of base‐isolated structures with clutching inerter damper

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