Effect of inerter for seismic mitigation comparing with base isolation

Li, Luyu; Liang, Qigang

doi:10.1002/stc.2409

Cited by 31 publications

(13 citation statements)

References 30 publications

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“…1,2 Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc. [3][4][5][6][7] As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical [8][9][10][11][12] and railway engineering 13,14 to the protection of building structures, [15][16][17][18][19][20][21][22][23][24][25] storage tanks, [26][27][28] wind turbine towers, 29,30 platforms, 31 and performanceimproved cables [32][33][34][35] and isolation systems [36][37][38][39][40][41][42][43][44][45] in civil engineering. An inerter is a type of two-terminal inertia element, and its relative motion can be produced between the two termi...…”

Section: Introductionmentioning

confidence: 99%

Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

121

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Summary Interactions among an inerter, spring, and energy dissipation element (EDE) in an inerter system can result in a higher energy dissipation efficiency compared to a single identical EDE, which is referred to as the damping enhancement effect. Previous studies have mainly concentrated on the vibration mitigation effect of the inerter system without an explicit consideration or utilization of the damping enhancement mechanism. In this study, the theoretical essence of the damping enhancement effect is discovered, and a universal design principle is proposed for an inerter system. A fundamental equation is found and demonstrated on the basis of closed‐form stochastic responses, which establishes a bridge between the damping deformation enhancement factor (DDEF) and the response mitigation ratio, thus clarifying the relationship of the damping enhancement effect and the response mitigation effect. Inspired by the equation, a novel damping‐enhancement‐based strategy is proposed to determine the key parameters of an inerter system. Following the performance‐demand‐based design philosophy, the parameters of the inerter system can be determined in the design condition of a target‐damping‐enhancement effect. Through the implementation of the damping enhancement equation, the damping parameter of an inerter system can be directly obtained by the prespecified DDEF and the displacement response mitigation ratio. The influence of parameters on the response mitigation effect and the damping enhancement effect is then investigated to determine ways of obtaining the other two parameters in an inerter system. Finally, design examples are conducted to verify the proposed strategy and the theoretical relationship revealed by the damping enhancement equation. The results show that the proposed design strategy explicitly utilizes the damping enhancement effect for vibration control, where the target of the DDEF is effective in enhancing the efficiency of the EDE for energy dissipation. In the design condition of the target DDEF, the implementation of the proposed damping enhancement equation provides an inerter system with a practical equation to determine the key parameters of an inerter system in a direct manner.

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Section: Introductionmentioning

confidence: 99%

Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

121

View full text Add to dashboard Cite

show abstract

“…In the study of Pradono on a Benchmark base‐isolated building, [ 38 ] the acceleration response of superstructure was reportedly increased when an inerter was introduced to the isolation layer. In a study conducted on a two‐degree‐of‐freedom system, [ 39 ] the inerter was mounted on the first floor of the system to investigate whether it can achieve an effect similar to that imparted by the base isolation system. The results showed that the inerter was not as effective as the isolator in reducing the structural frequency and modifying the vibration mode.…”

Section: Introductionmentioning

confidence: 99%

Structural optimal hybrid control strategies employing dynamic dual units: inerter and spring

Liang

2021

Earthq Engng Struct Dyn

Self Cite

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The concepts of optimal hybrid control strategies in the time and frequency domains are proposed herein. The time‐domain optimal hybrid control (also called GangGang strategy) consists of two dynamic units, an inerter and a spring, which work with different force mechanisms at different time phases of vibrations. The inerter acts on the structure when the vibration phase is accelerated, whereas the spring works when the structure deviates from its initial position. The combination of the two piecewise working units achieves better performance than their individual full‐time operations. The working time phases of the two units are complementary, covering the entire vibration period. The hysteresis loops of them are also complementary in the quadrant coordinate system. Owing to the piecewise properties of the two units, the equivalent linearization system (ELS) of such systems is formulated, and a statistical linearization procedure is developed to obtain the equivalent linearization parameters. Then, a parametric study on the equivalent damping is performed through sensitivity analysis and a comparative analysis of the ELS was performed in terms of the standard deviation and peak displacement levels under stationary stochastic excitations. The frequency‐domain optimal hybrid control conforms with the concept of intelligent isolation. The inerter and spring units can be switched according to the excitation frequency by an on–off control benefitting structures subjected to excitations with definite frequency range.

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“…Analytical and experimental studies have shown that including supplemental passive damping devices achieves a significant reduction in dynamic response. 1 Consequently, research efforts have been placed on obtaining optimal parameters of damping devices, [2][3][4][5][6][7][8] as well as, their optimal distribution for structures with dynamic excitations. [9][10][11][12] Some significant examples of optimal placement not considering directly the dynamic response use: the maximum controllability indices in shear buildings, 13 the minimum sum of transfer functions at the undamped fundamental frequency to remove excitation dependence in frame buildings, 14,15 the minimum transfer function of the base shear under seismic excitation, 16 minimum of the h-norm of the transfer function, 17 and evolutionary algorithms to reduce the maximum interstory drift transfer function.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous optimization of topology and supplemental damping distribution for buildings subjected to stochastic excitation

Gómez

Spencer

Carrion

2021

Struct Control Health Monit

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Supplemental damping devices present an attractive means to improve the structural system. Typically, dampers are designed after the structural system is selected, and they are added to increase structural damping and effectively reduce the dynamic response. On the other hand, topology optimization offers a possibility to obtain an efficient structural system but not the damper placement. Therefore, this study proposes a framework to obtain simultaneously optimal topology as well as the size and spatial distribution of discrete supplemental viscous damping devices for stochastically-excited buildings. The excitation is modeled as a stationary zero-mean filtered white noise, the excitation model is combined with the structural model to form an augmented representation, and the stationary covariances of the structural responses of interest are obtained by solving a Lyapunov equation. The objective function is defined in terms of the stationary covariance. A gradient-based method is used to update the design variables, and the sensitivities are computed using an adjoint method requiring the solution of an additional Lyapunov equation. The proposed topology optimization scheme is illustrated to obtain the optimal lateral resisting system together with the discrete dampers distribution for buildings subjected to stochastic ground motion. The results presented herein demonstrate the efficiency of the proposed approach to perform simultaneous optimization of topology and damper distribution of stochastically excited structures.

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Effect of inerter for seismic mitigation comparing with base isolation

Cited by 31 publications

References 30 publications

Damping enhancement principle of inerter system

Damping enhancement principle of inerter system

Structural optimal hybrid control strategies employing dynamic dual units: inerter and spring

Simultaneous optimization of topology and supplemental damping distribution for buildings subjected to stochastic excitation

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