A nonlinear energy sink with an energy harvester: Transient responses

Kremer, Daniel; Liu, Kefu

doi:10.1016/j.jsv.2014.05.010

Cited by 123 publications

(53 citation statements)

References 29 publications

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“…The masses of the primary system and NES are denoted as m 1 and m 2 , respectively. The electromechanically induced damping is well-defined by Kremer and Liu [16] and Beeby and O'Donnell [28]. Faraday's law describes the electromotive force (V) induced by a circuit as the time rate of change of the magnetic flux linkage or…”

Section: System Modelingmentioning

confidence: 99%

“…Incorporating nonlinear mechanical attachments into linear primary systems has been explored in the literature as a means to broaden frequency response range and provide large-amplitude solutions [16,17,18]. These mechanical attachments use strong cubic stiffness nonlinearities to achieve this behavior.…”

Section: Introductionmentioning

confidence: 99%

“…The literature describes this class of strong nonlinearity as essential (nonlinearizable) nonlinearity. Kremer and Liu [16] use a magnetic restoring force to provide the cubic term in the coupling; however, the authors must also have a linear term in the coupling due to the experimental configuration. Hu et al and Andersen et al [17,18] use geometric effects to provide the cubic term and minimize linear effects in the coupling.…”

Section: Introductionmentioning

confidence: 99%

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High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

Remick

Quinn

McFarland

et al. 2016

Journal of Sound and Vibration

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The authors investigate a vibration-based energy harvesting system utilizing essential (nonlinearizable) nonlinearities and electromagnetic coupling elements. The system consists of a grounded, weakly damped linear oscillator (primary system) subjected to a single impulsive load. This primary system is coupled to a lightweight, damped oscillating attachment (denoted as nonlinear energy sink, NES) via a neodymium magnet and an inductance coil, and a piano wire, which generates an essential geometric cubic stiffness nonlinearity. Under impulsive input, the transient damped dynamics of this system exhibit transient resonance captures (TRCs) causing intentional large-amplitude and high-frequency instabilities in the response of the NES. These TRCs result in strong energy transfer from the directly excited primary system to the lightweight attachment. The energy is harvested by the electromagnetic elements in the coupling and, in the present case, dissipated in a resistive element in the electrical circuit. The primary goal of this work is to numerically, analytically, and experimentally demonstrate the efficacy of employing this type of intentional high-frequency dynamic instability to achieve enhanced vibration energy harvesting under impulsive excitation.

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Section: System Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

Remick

Quinn

McFarland

et al. 2016

Journal of Sound and Vibration

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“…Among other applications, one can mention targeted energy transfer in essentially nonlinear systems with applications to energy absorption and harvesting [12][13][14][15][16][17][18][19][20][21][22][23][24], wave propagation, mitigation, energy redistribution and arrest in granular crystals and in systems characterized as 'sonic vacua' (i.e. with zero linear speed of sound) [25][26][27][28][29][30][31][32], dynamic and acoustic non-reciprocity, as well as wave tailoring and control by means of acoustic metamaterials composed essentially nonlinear elements [33][34][35][36].…”

Section: General Scope Of the Topical Issuementioning

confidence: 99%

Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems'

Gendelman

Vakakis

2018

Phil. Trans. R. Soc. A.

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This topical issue is devoted to recent developments in the broader field of energy transfer across scales in nonlinear dynamical and acoustical systems. Nonlinear energy transfers are common in Nature, with perhaps the most famous example being energy cascading from large to small length scales in turbulent flows. Yet nonlinearity has been traditionally perceived either as an unavoidable nuisance or as an unwelcome design restriction in engineering systems. Nowadays, however, this trend is reversing, with nonlinear phenomena being intensely studied in diverse disciplines. Furthermore, strong nonlinearity is now intentionally used and explored in a variety of mechanical and physical settings, such as granular media, acoustic metamaterials, nonlinear energy sinks, essentially nonlinear and nonlocal lattices, vibro-impact oscillators, vibration and shock isolation systems, nanotechnology, biomimetic systems, microelectronics, energy harvesters and in other applications. This topical issue is an attempt to document in a single volume some of these recent research developments, in order to establish a common basis and provide motivation and incentive for further development. The aim is to discuss and compare theoretical and experimental approaches pursued by research groups in different areas, and describe the state of the art of nonlinear energy transfer phenomena in an as broad as possible range of applications of current interest. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

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“…Similarly, this type of NES has been further enhanced by employing an elastic arm instead of the rigid arm [22] or by adding a rigid barrier to incorporate non-smooth impacts with the associated floor of the primary structure [23]. Finally, the magnet-based NES mass is coupled to the associated floor of the primary structure through a nonlinear symmetric or asymmetric coupling magnetic force [24][25]. Out of all the NES types, the SSVI NESs have been proven numerically and experimentally to be the most efficient for energy dissipation and shock mitigation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Changing the Coefficient of Restitution of a Single-Sided Vibro-Impact Nonlinear Energy Sink in a Two-Story Structure

Saeed¹,

AL-Shudeifat²

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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In many applications of structural dynamics, it is desirable to transfer energy from a primary system using a dynamic absorber to protect the structure from destructive vibration amplitudes. Nonlinear Energy Sinks (NESs) are local attachments used to rapidly and passively dissipate energy from a primary structure in a phenomenon known as Targeted Energy Transfer (TET). Consequently, many types of NESs, which incorporate an essential nonlinear property, have been proposed, designed and tested in the literature. Based on numerical and experimental investigations of these types, Single-Sided Vibro-Impact (SSVI) NESs, where impacts, usually between the top floor of the primary structure and the NES, are utilized to further dissipate energy, proved to be the most efficient for TET in small-and large-scale structures. In literature, researchers have mostly considered steel-to-steel impacts which correspond to a coefficient of restitution of approximately 0.7. In this work, the effect of changing this coefficient of restitution is analyzed and investigated in a two-story physical primary structure. The coupled systems are optimized to achieve the maximum energy transfer and dissipation by measuring the normalized weighted-averaged effective modal damping criteria. It is found that lowering the coefficient of restitution increases the capability of the SSVI NES to transfer and dissipate initial energy induced into a primary structure for a wide range of impulsive excitations.

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A nonlinear energy sink with an energy harvester: Transient responses

Cited by 123 publications

References 29 publications

High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems'

Effect of Changing the Coefficient of Restitution of a Single-Sided Vibro-Impact Nonlinear Energy Sink in a Two-Story Structure

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