Experimental Investigation of Targeted Energy Transfers in Strongly and Nonlinearly Coupled Oscillators

2005 ◽  
Author(s):  
D. M. McFarland ◽  
G. Kerschen ◽  
J. J. Kowtko ◽  
Y. S. Lee ◽  
L. A. Bergman ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Coupled Oscillators ◽  
Nonlinear Energy Sink ◽  
Transient Dynamics ◽  
Light Weight ◽  
Input Energy ◽  
Total Input ◽  
Energy Transfers ◽  
Energy Sink ◽  
Nonlinear Energy

The focus of this study is on experimental investigation of the transient dynamics of an impulsively loaded linear oscillator coupled to a light-weight nonlinear energy sink. It is shown that this seemingly simple system exhibits complicated dynamics, including nonlinear beating phenomena and resonance captures. It is also demonstrated that, by facilitating targeted energy transfers to the nonlinear energy sink, a significant portion of the total input energy can be absorbed and dissipated in this oscillator.

Resonance captures and targeted energy transfers in an inertially-coupled rotational nonlinear energy sink

2012 ◽  
Vol 69 (4) ◽  
pp. 1693-1704 ◽  
Author(s):  
G. Sigalov ◽  
O. V. Gendelman ◽  
M. A. AL-Shudeifat ◽  
L. I. Manevitch ◽  
A. F. Vakakis ◽  
...  
Keyword(s):  
Nonlinear Energy Sink ◽  
Energy Transfers ◽  
Energy Sink ◽  
Nonlinear Energy

Suppression of Machine Tool Chatter Using Nonlinear Energy Sink

2011 ◽  
Author(s):  
Amir Nankali ◽  
Harsheeta Surampalli ◽  
Young S. Lee ◽  
Tama´s Kalma´r-Nagy
Keyword(s):  
Hopf Bifurcation ◽  
Machine Tool ◽  
Stability Boundary ◽  
Chip Thickness ◽  
Nonlinear Energy Sink ◽  
Mass Ratio ◽  
Energy Transfers ◽  
Energy Sink ◽  
The Stability ◽  
Nonlinear Energy

Suppression of regenerative instability in a single-degree-of-freedom (SDOF) machine tool model was studied by means of targeted energy transfers (TETs). The regenerative cutting force generates time-delay effects in the tool equation of motion, which retained the nonlinear terms up to the third order in this work. Then, an ungrounded nonlinear energy sink (NES) was coupled to the SDOF tool, by which biased energy transfers from the tool to the NES and efficient dissipation can be realized whenever regenerative effects invoke instability in the tool. Shifts of the stability boundary (i.e., Hopf bifurcation point) with respect to chip thickness were examined for various NES parameters. There seems to exist an optimal value of damping for a fixed mass ratio to shift the stability boundary for stably cutting more material off by increasing chip thickness; on the other hand, the larger the mass ratio becomes, the further the occurrence of Hopf bifurcation is delayed. The limit cycle oscillation (LCO) due to the regenerative instability appears as being subcritical, which can be (locally) eliminated or attenuated at a fixed rotational speed of a workpiece by the nonlinear modal interactions with an NES (i.e., by means of TETs). Three suppression mechanisms have been identified; that is, recurrent burstouts and suppressions, partial and complete suppressions of regenerative instabilities in a machine tool model. Each suppression mechanism was characterized numerically by time histories of displacements, and wavelet transforms and instantaneous energies. Furthermore, analytical study was performed by employing the complexification-averaging technique to yield a time-delayed slow-flow model. Finally, regenerative instability suppression in a more practical machine tool model was examined by considering contact-loss conditions.

Comments on Energy Harvesting on a 2:1 Internal Resonance Portal Frame Support Structure, Using a Nonlinear-Energy Sink as a Passive Controller

2016 ◽  
Vol 10 (3) ◽  
pp. 147 ◽  
Author(s):  
Rodrigo Tumolin Rocha ◽  
Jose Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Vinicius Piccirillo ◽  
Jorge Luis Palacios Felix
Keyword(s):  
Energy Harvesting ◽  
Internal Resonance ◽  
Nonlinear Energy Sink ◽  
Support Structure ◽  
Portal Frame ◽  
Energy Sink ◽  
Nonlinear Energy

Stability analysis of a pipe conveying fluid with a nonlinear energy sink

2021 ◽  
Vol 64 (5) ◽  
Author(s):  
Nan Duan ◽  
Sida Lin ◽  
Yuhu Wu ◽  
Xi-Ming Sun ◽  
Chongquan Zhong
Keyword(s):  
Stability Analysis ◽  
Nonlinear Energy Sink ◽  
Pipe Conveying Fluid ◽  
Energy Sink ◽  
Nonlinear Energy ◽  
Conveying Fluid

Nonlinear energy sink with limited vibration amplitude

2021 ◽  
Vol 156 ◽  
pp. 107625
Author(s):  
Xiao-Feng Geng ◽  
Hu Ding ◽  
Xiao-Ye Mao ◽  
Li-Qun Chen
Keyword(s):  
Vibration Amplitude ◽  
Nonlinear Energy Sink ◽  
Energy Sink ◽  
Nonlinear Energy

The effects of nonlinear energy sink and piezoelectric energy harvester on aeroelastic instability of an airfoil

2021 ◽  
pp. 107754632199358
Author(s):  
Ali Fasihi ◽  
Majid Shahgholi ◽  
Saeed Ghahremani
Keyword(s):  
Energy Harvester ◽  
Equations Of Motion ◽  
Continuation Method ◽  
Dynamical Behavior ◽  
Harmonic Balance Method ◽  
Nonlinear Energy Sink ◽  
Piezoelectric Energy ◽  
Energy Sink ◽  
Two Degree Of Freedom ◽  
Nonlinear Energy

The potential of absorbing and harvesting energy from a two-degree-of-freedom airfoil using an attachment of a nonlinear energy sink and a piezoelectric energy harvester is investigated. The equations of motion of the airfoil coupled with the attachment are solved using the harmonic balance method. Solutions obtained by this method are compared to the numerical ones of the pseudo-arclength continuation method. The effects of parameters of the integrated nonlinear energy sink-piezoelectric attachment, namely, the attachment location, nonlinear energy sink mass, nonlinear energy sink damping, and nonlinear energy sink stiffness on the dynamical behavior of the airfoil system are studied for both subcritical and supercritical Hopf bifurcation cases. Analyses demonstrate that absorbing vibration and harvesting energy are profoundly affected by the nonlinear energy sink parameters and the location of the attachment.

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