A lever-type nonlinear energy sink

Zang, Jian; Yuan, Tianchen; Lu, Ze-Qi; Zhang, Yewei; Ding, Hu

doi:10.1016/j.jsv.2018.08.058

Cited by 123 publications

(26 citation statements)

References 43 publications

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“…The effectiveness of the TMDI has been demonstrated in mitigating seismic responses 45 and wind‐induced vibrations 48 of building structures and reducing the displacement demand of base‐isolated structures 49 . Similarly, the idea of using inertial amplifying techniques to decrease physical mass has also been adopted in NESs 50–52 . Using the same inerter arrangement as in TMDIs, NES‐inerters (NESIs) were developed by replacing the linear spring in TMDIs with a cubic‐type stiffness element (Figure 1B).…”

Section: Introductionmentioning

confidence: 99%

Effectiveness and robustness of an asymmetric nonlinear energy sink‐inerter for dynamic response mitigation

Wang

Zhang

et al. 2021

Earthq Engng Struct Dyn

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Nonlinear energy sinks (NESs) have outperformed tuned mass dampers in mitigating undesired responses against changes in structural frequencies. However, the dilemma of gaining frequency robustness at the cost of energy sensitivity as well as the large masses of devices required for civil engineering structures impede the applications of existing NESs. To solve the issue of lacking energy robustness and take advantage of inerters to reduce physical mass, an asymmetric NES‐inerter (Asym NESI) is developed in this study. This passive inerter‐based nonlinear mass damper is configured based on an energy‐robust NES with an inerter added between the auxiliary mass and a fixed point. The paper commences with the formulation of the Asym NESI through mathematical derivations. Then an Asym NESI is designed and evaluated on a three‐story structure in comparison with other counterpart mass dampers. The effectiveness of the Asym NESI can be attributed to its unique dynamics which are revealed analytically using the harmonic balance method through free vibrations and harmonically forced vibrations. The ensuing numerical validations show that due to the integrated linear and nonlinear dynamics of the Asym NESI, the proposed device exhibits strong robustness against changes in both structural frequency and energy level. Moreover, driven by the large inertial effect induced by the auxiliary inerter, the Asym NESI shows flexibility in choosing a practical installation location without sacrificing excellent control capacity. Importantly, the benefits of the Asym NESI are further confirmed by the responses subjected to a suite of ground motions. This study provides analytical insights into the effectiveness and robustness of Asym NESIs and demonstrates substantial performance enhancement by the inerter in structural response mitigation.

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Section: Introductionmentioning

confidence: 99%

Effectiveness and robustness of an asymmetric nonlinear energy sink‐inerter for dynamic response mitigation

Wang

Zhang

et al. 2021

Earthq Engng Struct Dyn

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“…Based on the conventional NES, various novel NESs are designed, such as lever-type NESs [28], inertial NESs [29], track NESs [30] bi-stable NESs [31], NESs with piecewise spring [32], vibroimpact NESs (VI-NESs) [33], discontinue NESs [34], and other types of NESs [35][36][37][38]. The researches show that the non-smooth NES has a good performance in vibration reduction and stability [39,40].…”

Section: Introductionmentioning

confidence: 99%

Analytical, Numerical and Experimental Study of an Enhanced Nonlinear Energy Sink

Geng

Ding

2021

Preprint

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Based on theoretical and experimental investigations, this paper proposes a nonlinear energy sink (NES) with piecewise linear springs to enhance vibration suppression effects. A cubic nonlinear oscillator is coupled with a piecewise linear spring to form an enhanced NES (E-NES). Without adding a new resonance region and changing the resonance frequency of the primary system, the enhanced NES can achieve better vibration suppression effects. Based on the free vibration and the forced vibration, the influence of piecewise linear stiffness on the vibration suppression is profoundly examined. The results show that the E-NES has a better suppression effect on the vibration of the primary structure than that of the cubic NES in most cases. Furthermore, the piecewise stiffnesses and gap displacements are optimized through the differential evolution algorithm. The best damping effect of the E-NES on the free vibration is presented. However, it also happens that the vibration suppression effect of the E-NES is weaker than that of the conventional NES. Moreover, the experimental results verify the analytical and numerical results. The vibration elimination efficiency of the E-NES exceeds 90%. Therefore, this research on using piecewise springs to enhance the vibration suppression efficiency will attract attention.

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“…29 In another research, the performance of the NES was investigated 30 that it composed of a small mass and essentially nonlinear coupling stiffness with a linear structure. Also, in order to evaluate the performance of vibration reduction, a novel type of NES was proposed by introducing a lever to reduce the necessary mass 31 The lever-type NES is attached to a 2-DOF simplified model of whole-spacecraft under harmonic excitation. In some researches, the vibration reduction analysis has been studied by applying the limited NES by using a piecewise spring device.…”

Section: Introductionmentioning

confidence: 99%

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

Khalatbari

Jalali

Ahmadi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, one of the most efficient passive absorbers, called nonlinear energy sink (NES), is analytically studied. A two-degree-of-freedom system is considered which consists of a linear oscillator (LO) with a base excitation and an NES, called grounded NES (GNES), which is connected to the ground with a nonlinear spring. In this study, we proposed a new arrangement of potential elements in GNES and studied invariant manifolds of the system, as well as the energy absorption performance of the NES. The system is considered in the vicinity of 1:1 resonance to investigate the strongly modulated response (SMR). To this end, after obtaining the equations of motion, the Manevitch complex variable and multiple scale method are applied to solve the equations, analytically. Then, the slow invariant manifold (SIM) is obtained. Also, the energy dissipation ratio of the NES and the percentage of the instantaneous total energy stored in the NES are calculated via the time-amplitude diagram. The results show that when the nonlinear effect decreases, the occurrence of energy pumping is less probable. Also, when the excitation amplitude decreases, the percentage of the instantaneous total energy stored in the NES increases as well as the amount of energy dissipation.

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A lever-type nonlinear energy sink

Cited by 123 publications

References 43 publications

Effectiveness and robustness of an asymmetric nonlinear energy sink‐inerter for dynamic response mitigation

Effectiveness and robustness of an asymmetric nonlinear energy sink‐inerter for dynamic response mitigation

Analytical, Numerical and Experimental Study of an Enhanced Nonlinear Energy Sink

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

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