Rotary-impact nonlinear energy sink for shock mitigation: analytical and numerical investigations

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

doi:10.1007/s00419-019-01622-0

Cited by 54 publications

(12 citation statements)

References 67 publications

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“…From the technological point of view, a NES can be obtained, for example, by a mass moving transversely in a nonlinear potential [14][15][16][17], by magnetic forces [12,18,19], by coupling a rotating mass with a primary structure [20], by a mass sliding on a curved track [21] and by vibro-impact systems [22]. Configurations of vibro-impact systems include rotary NESs [23], track NESs [24] and vibro-impact NESs. In regard to the latter, one refers to single-sided vibro-impact NES [25,26] or double-sided vibro-impact NES [27,28] depending on the number of barriers added along the trajectory of the moving mass.…”

Section: Introductionmentioning

confidence: 99%

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

Feudo

Job

Cavallo

et al. 2022

Engineering Structures

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Section: Introductionmentioning

confidence: 99%

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

Feudo

Job

Cavallo

et al. 2022

Engineering Structures

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“…The other category, the rotational NESs, is realized by inertial coupling between the NES mass and the primary structure by means of a rigid rotating arm to generate a strongly nonlinear coupling force [22][23][24][25][26][27]. Additional research works have investigated using an oscillating arm or incorporating non-smooth nonlinearities to the rotational NESs attempting to enhance the irreversible nonlinear energy transfers [28,29]. Numerous research works show that both categories and many subtypes of the NESs yield enhanced "utilization" of the inherent structural dynamics towards more effective response mitigation, without the necessity of adding more damping.…”

Section: Introductionmentioning

confidence: 99%

Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator

AL-Shudeifat

Saeed

2021

Nonlinear Dyn

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The nonlinear energy sink (NES), which is proven to perform rapid and passive targeted energy transfer (TET), has been has been employed for vibration mitigation in many primary small-and large-scale structures. Recently, the feature of bistability, in which two nontrivial stable equilibria and one trivial unstable equilibrium exist, is utilized for passive TET in what is known as Bistable NES (BNES). The BNES generates a nonlinear force that incorporates negative linear and multiple positive or negative nonlinear stiffness components. In this paper, the BNES is coupled to a linear oscillator (LO) where the dynamic behavior of the resulting LO-BNES system is studied through frequency-energy plots (FEPs), which are generated by analytical approximation using the complexification-averaging method and by numerical continuation techniques. The effect of the length and stiffness of the transverse coupling springs is found to affect the stability and topology of the branches and indicates the importance of the exact physical realization of the system. The rich nonlinear dynamical behavior of the LO-BNES system is also highlighted through the appearance of multiple symmetrical and unsymmetrical in-and out of-phase backbone branches, especially at low energy levels. The wavelet transform is imposed into the FEP for variety of initial conditions and damping content and it is found that the FEP has backbone branches at low energy levels associated with the oscillation of the bistable attachments about one of its stable equilibrium positions where passage through the unstable equilibrium position does not occur.

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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%

“…Fig12 The antiphase NNMs in (a) and (d), their corresponding response of the structure-PNES system in (b) and (e), and the corresponding nonlinear NES coupling forces in (c) and (f) for the data points e and f in the FEP plot in Fig.9.…”

mentioning

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-impact nonlinear energy sink for shock mitigation: analytical and numerical investigations

Cited by 54 publications

References 67 publications

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator

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

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