Adaptive Negative Stiffness Device based nonconventional Tuned Mass Damper for seismic vibration control of tall buildings

Saha, Arijit; Mishra, Sudib Kumar

doi:10.1016/j.soildyn.2019.105767

Cited by 27 publications

(9 citation statements)

References 38 publications

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“…In structural control, TMD has been extensively addressed, especially in recent studies. [21][22][23][24][24][25][26][27][28][29][30][31] The scopes of some alluded researches have been optimal design and tuning of variant types of TMDs, such as a viscous mass damper (TVMD), 21 nonlinear TMDs, 22 semiactive TMDs, 23 and multiple tuned inerter dampers. 24 The efficiency of the tuned mass damper (TMD) on the torsional balance of nonlinear asymmetric structures has been investigated by Espinoza et al 25,26 However, a less discussed topic in the science of structural dynamics (and in the subset of structural control) is the study of the combined effect of TMD and P-delta on the shear frame in the range of small deformations leading to nonlinear differential equations of motion.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic P‐delta interaction between TMD and the frame structure under proportional internal resonances

Afshar

2022

Structural Contr & Hlth

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The effect of axial loads on the dynamic interaction of a shear frame and tuned mass dampers (TMDs) is evaluated under harmonic and seismic lateral loads.Taking into account the nonlinear geometric stiffness created by the small and large TMD gravity load on the frame columns, the nonlinear differential equations of motion of coupled TMD and frame are derived. Then, the interaction between the small and large TMD and the frame is studied, and the equations of motion are investigated. Nonlinear P-delta effects couple the TMD and frame responses. By using the method of multiple scales, the asymptotic solution of the nonlinear differential equations is derived, and the effect of two-toone internal resonance, called proportional resonance, is examined. System stability under near-internal resonance is investigated by plotting the modal amplitude responses vs. variations of excitation frequency and amplitude. The jump and saturation phenomena can be observed in the plots. A parametric study is conducted on the effect of variations of the quantities, e.g., damping ratios of the structure and TMD, the mass ratio, and the axial load ratio, on the response amplitude of the structure and TMD. The time and frequency responses of two linear and nonlinear dynamics for the TMD-structure interaction under harmonic and seismic excitation are also studied and compared.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic P‐delta interaction between TMD and the frame structure under proportional internal resonances

Afshar

2022

Structural Contr & Hlth

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“…The vibration isolation system studied in the present paper is motivated by a previous work on the influence of adaptive negative stiffness for seismic protection 9–12,19,20 . The NSD used in the experiment is presented in Figure 1a.…”

Section: Introductionmentioning

confidence: 99%

Reduction of transmissibility and increase in efficacy of vibration isolation using negative stiffness device with enhanced damping

Nagarajaiah

Zou

Herkal

2022

Structural Contr & Hlth

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Effect of passive vibration isolation heavily depends on force-displacement characteristic of the isolation system. In view of this dependence, this paper investigates the influence of negative stiffness device (NSD) on the effect of vibration isolation system. Detailed evaluation of transmissibility is performed.The critical parameters are identified. It is found that with NSD, significant vibration reduction for both absolute and relative displacement transmissibility is obtained. A modified Lindstedt-Poincaré method (modified L-P method) is used to obtain analytical periodic solutions for the approximated piecewise linear dynamic system. The analytical limit cycles by the modified L-P solution agree satisfactorily with the ones by numerical simulation. The most important finding of this study is that larger damping in a system with NSD helps in reducing transmissibility, thus increasing the efficacy of the isolation system; this is in contrast to other conventional isolation systems, wherein increased structural damping decreases the efficacy of vibration control in the frequency range of interest.

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“…The concept of apparent weakening is proposed by Nagarajaiah et al [5] along with a negative stiffness device (NSD) which can simulate the structural yielding without inducing the structural real inelastic behavior. Nowadays, negative stiffness device is given considerable attention by engineers and researchers among many structural control strategies [6][7][8]. Yet, most of the related research of negative stiffness control is qualitative concept verification.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Negative Stiffness Devices for Highway Bridges Using Performance-Based Genetic Algorithm

et al. 2021

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Parameter optimization analysis on the negative stiffness device (NSD) installed in the benchmark highway bridge is carried out in this study. Key parameters and constrain conditions are determined in accordance with the characteristics of NSD, and an objective function is designed with safety and comfort being considered. Individual fitness value–related cross and mutation operators are designed to protect excellent chromosome and improve the efficiency and convergence of computation. The genetic algorithm is used to realize parameter optimization of the NSD used in a benchmark highway bridge. Dynamic responses of structure without NSD, with random NSD, and with optimal designed NSD are compared. By analyzing the time history of displacement and acceleration, it can be concluded that dynamic responses of the structure decrease obviously when the NSD is added, and a better seismic reduction effect can be reached when the NSD is designed optimally in accordance with the optimization method and different earthquake excitations have slight influence on the optimization results.

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Adaptive Negative Stiffness Device based nonconventional Tuned Mass Damper for seismic vibration control of tall buildings

Cited by 27 publications

References 38 publications

Nonlinear dynamic P‐delta interaction between TMD and the frame structure under proportional internal resonances

Nonlinear dynamic P‐delta interaction between TMD and the frame structure under proportional internal resonances

Reduction of transmissibility and increase in efficacy of vibration isolation using negative stiffness device with enhanced damping

Optimal Design of Negative Stiffness Devices for Highway Bridges Using Performance-Based Genetic Algorithm

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