Rotary-oscillatory nonlinear energy sink of robust performance

Saeed, Adnan S.; AL-Shudeifat, Mohammad A.; Vakakis, Alexander F.

doi:10.1016/j.ijnonlinmec.2019.103249

Cited by 67 publications

(21 citation statements)

References 53 publications

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“…The stability of the steady-state solutions is obtained from the eigenvalues of the Jacobian matrix of Eqs. (8a)-(8d) and (9). The results obtained from the two methods are found to be in good agreement.…”

Section: Coupling Influence Under Harmonic Excitationmentioning

confidence: 53%

“…It consumes energy through the impact between the primary system and an internal impactor, and can be connected in parallel with cubic NES to enhance energy absorption [7][8] . Rotary-oscillatory NES is capable of dissipating energy with its angular and radial damping elements [9] . Piecewise linear stiffness NES is straightforward to manufacture, and can effectively transfer energy [10][11][12] .…”

Section: Introductionmentioning

confidence: 99%

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Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Chen

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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Nonlinear energy sink (NES) can passively absorb broadband energy from primary oscillators. Proper multiple NESs connected in parallel exhibit superior performance to single-degree-of-freedom (SDOF) NESs. In this work, a linear coupling spring is installed between two parallel NESs so as to expand the application scope of such vibration absorbers. The vibration absorption of the parallel and parallel-coupled NESs and the system response induced by the coupling spring are studied. The results show that the responses of the system exhibit a significant difference when the heavier cubic oscillators in the NESs have lower stiffness and the lighter cubic oscillators have higher stiffness. Moreover, the e±ciency of the parallel-coupled NES is higher for medium shocks but lower for small and large shocks than that of the parallel NESs. The parallel-coupled NES also shows superior performance for medium harmonic excitations until higher response branches are induced. The performance of the parallel-coupled NES and the SDOF NES is compared. It is found that, regardless of the chosen SDOF NES parameters, the performance of the parallel-coupled NES is similar or superior to that of the SDOF NES in the entire force range.

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Section: Coupling Influence Under Harmonic Excitationmentioning

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Chen

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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“…The higher modal vibrations observed in the structure facilitate faster energy dissipation and result in smaller structural responses in comparison with the vibrations in the fundamental mode. To date, various types of NESs have been developed which include but are not limited to cubic NESs, 20,21 vibro‐impact NESs, 22,23 rotary NESs, 24,25 MDOF NESs, 26 bistable NESs, 27,28 and track NESs 29,30 . The most studied type is the cubic NES whose restoring force is proportional to the cube of the displacement.…”

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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“…Smooth NESs include Type I NES, which incorporates a purely non-negative cubic restoring stiffness realized by transversely coupled linear springs [1][2][3][4][5][6][7], Type II NES, which includes an additional nonlinear damping element, and Type III NES, which includes an additional nonlinearly coupled mass [1][2][3][4][5][6][7]. Other types of smooth NESs includes the magnetic NES which is realized by a nonlinear magnetic repulsive force [8][9][10] and the rotary NES which is realized by inertial coupling between the NES mass and the primary structure [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Frequency Energy Plots of Dynamical Systems Attached to Piecewise Nonlinear Energy Sink

Shudeifat

Saeed

2021

Preprint

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The frequency-energy plots (FEPs) of two-degree-of-freedom linear structures attached to piecewise nonlinear energy sink (PNES) are generated here and thoroughly investigated. This study provides the FEP analysis of such systems for further understanding of nonlinear targeted energy transfer (TET) by the PNES. The attached PNES incorporates a symmetrical clearance zone of zero stiffness content about its equilibrium position where the boundaries of the zone are coupled with linear structure by linear stiffness elements. In addition, linear viscous damping is selected to be continuous during PNES mass oscillation. The underlying nonlinear dynamical behaviour of the considered structure-PNES systems is investigated by generating the fundamental backbone curves of the FEP and the bifurcated subharmonic resonance branches using numerical continuation methods. Accordingly, interesting dynamical behaviour of the nonlinear normal modes (NNMs) of the structure-PNES system on different backbones and subharmonic resonance branches has been observed. In addition, the imposed wavelet transform frequency spectrums on the FEPs have revealed that the TET takes place where it is dominated by the nonlinear action of the PNES.

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Rotary-oscillatory nonlinear energy sink of robust performance

Cited by 67 publications

References 53 publications

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

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

Frequency Energy Plots of Dynamical Systems Attached to Piecewise Nonlinear Energy Sink

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