Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results

Nucera, F.; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F.

doi:10.1016/j.jsv.2010.01.020

Cited by 75 publications

(31 citation statements)

References 24 publications

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“…In addition, it is well established that higher modes more effectively dissipate vibration energy through structural damping. Such high-frequency scattering has already been reported in seismic mitigation designs based on vibro-impact NESs [19,20].…”

Section: Effective Measures For Linear Structures With Essentially Nomentioning

confidence: 55%

Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments

Sapsis

Quinn

Vakakis

et al. 2012

Journal of Vibration and Acoustics

110

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We study the stiffening and damping effects that local essentially nonlinear attachments can have on the dynamics of a primary linear structure. These local attachments can be designed to act as nonlinear energy sinks (NESs) of shock-induced energy by engaging in isolated resonance captures or resonance capture cascades with structural modes. After the introduction of the NESs, the effective stiffness and damping properties of the structure are characterized through appropriate measures, developed within this work, which are based on the energy contained within the modes of the primary structure. Three types of NESs are introduced in this work, and their effects on the stiffness and damping properties of the linear structure are studied via (local) instantaneous and (global) weighted-averaged effective stiffness and damping measures. Three different applications are considered and show that these attachments can drastically increase the effective damping properties of a two-degrees-of-freedom system and, to a lesser degree, the stiffening properties as well. An interesting finding reported herein is that the essentially nonlinear attachments can introduce significant nonlinear coupling between distinct structural modes, thus paving the way for nonlinear energy redistribution between structural modes. This feature, coupled with the well-established capacity of NESs to passively absorb and locally dissipate shock energy, can be used to create effective passive mitigation designs of structures under impulsive loads.

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Section: Effective Measures For Linear Structures With Essentially Nomentioning

confidence: 55%

Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments

Sapsis

Quinn

Vakakis

et al. 2012

Journal of Vibration and Acoustics

110

View full text Add to dashboard Cite

show abstract

“…The damping in Type I and Type III NESs is linear, whereas it is nonlinear in the Type II NES [9]. More recently, strongly nonlinear inertia coupling between a rotating NES mass and the primary linear structure has been employed in a rotating NES design [10][11][12], while strongly nonlinear vibro-impact coupling has been employed in [13][14][15][16][17][18][19][20][21]. The basic mechanism for inducing TET through the NESs takes place through a single mode resonance capture, or a series of resonance captures, namely resonance capture cascades [1][2][3][4][5][6][7][8][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental investigations of a rotating nonlinear energy sink

et al. 2016

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In this work, passive nonlinear targeted energy transfer (TET) is addressed by numerically and experimentally investigating a lightweight rotating nonlinear energy sink (NES) which is coupled to a primary two-degree-of-freedom linear oscillator through an essentially nonlinear (i.e., non-linearizable) inertial nonlinearity. It is found that the rotating NES passively absorbs and rapidly dissipates a considerable portion of impulse energy initially induced in the primary oscillator. The parameters of the rotating NES are optimized numerically for optimal performance under intermediate and strong loads. The fundamental mechanism for effective TET to the NES is the excitation of its rotational nonlinear mode, since its oscillatory mode dissipates far less energy. This involves a highly energetic and intense resonance capture of the transient nonlinear dynamics at the lowest modal frequency of the primary system; this is studied in detail by constructing an appropriate frequency-energy plot. A series of experimental tests is then performed to validate the theoretical predictions. Based on the obtained numerical and experimental results, the performance of the rotating NES is found to be comparable to other current translational NES designs; however, the proposed rotating device is less complicated and more compact than current types of NESs.

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“…We utilized such sliding friction as damping of the present NES, as it is simpler to implement than viscous damping. Moreover, we neglected frictions of the two guiders coupled to the springs, as they are nonbearing components with much smaller friction forces. Hence, the reaction force of the present NES is

F = 2 k ((), u - u_{c}) ((), 1 - l {(l_{0}^{2} + {((), u - u_{c})}^{2})}^{- 1 / 2}) + f,

where k and l are the constant stiffness and relaxation length of the hinged spring, respectively, and

u_{c} = \sqrt{l^{2} - l_{0}^{2}} .

…”

Section: Problem Formulationmentioning

confidence: 99%

“…McFarland et al realized the cubic NES (Type I NES) by using transverse elastic wire that yields geometrically nonlinear restoring force. Nucera et al, Ahmadi et al, Gendelman et al, and Li et al presented vibro‐impact NESs, which can absorb the vibration energy of the primary structure by transient internal resonance captured at high frequencies. Luo et al completed the shake table test on the large‐scale structure model, for which cubic NES and vibro‐impact NES were adopted for seismic control.…”

Section: Introductionmentioning

confidence: 99%

Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction

Chen

Qian

Chen

et al. 2019

Struct Control Health Monit

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In this paper, to enhance passive targeted energy transfer, a novel nonlinear energy sink (NES) system is developed. The NES system integrates negative stiffness obtained through geometrical nonlinearities, friction, and sliding mass. Considering a one-story shear frame, governing equations of the NES system are developed and substantiated through experimental work. The governing equations of the system were subsequently used to select the optimal design parameters. The experimental results validate the numerical predictions that a significant fraction of energy introduced directly to the primary structure by seismic excitation is transferred to the present NES and dissipated. The seismic performance of the present NES is compared with those of the linear tuned mass damper and the cubic NES. The comparison shows that the attenuation observed under the present NES control is competitive and is robust with respect to variation of the primary structural stiffness. Numerically, further sensitivity analysis was carried out to investigate the effect of peak ground acceleration values and stiffness ratio.

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Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results

Cited by 75 publications

References 24 publications

Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments

Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments

Numerical and experimental investigations of a rotating nonlinear energy sink

Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction

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