Passive fluid-induced vibration control of viscoelastic cylinder using nonlinear energy sink

This paper presents a novel design by integrating geometrical and material nonlinear energy sink (NES) with a piezoelectric-based vibration energy harvester under shock excitation, which can realize vibration control and energy harvesting. The nonlinear spring and hysteresis behavior of the NES could reflect geometrical and material nonlinearity, respectively. Two configurations of the piezoelectric device, including the piezoelectric element embedded between the NES mass and the single-degree-of-freedom system or ground, are utilised to examine the energy dissipated by damper and hysteresis behavior of NES and the energy harvested by the piezoelectric element. Similar numerical research methods of Runge-Kutta algorithm are used to investigate the two configurations. The energy transaction measure (ETM) is adopted to examine the instantaneous energy transaction between the primary and the NES-piezoelectricity system. And it demonstrates that the dissipated and harvested energy transaction is transferred from the primary system to the NES-piezoelectricity system and the instantaneous transaction of mechanical energy occupies a major part of the energy of transaction. Both figurations could realize vibration control efficiently.

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Suppression of Limit Cycle Oscillations in a Van der Pol Oscillator by Means of a Passive Nonlinear Energy Sink

Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2005-84691 ◽

2005 ◽

Author(s):

Young S. Lee ◽

Alexander F. Vakakis ◽

Lawrence A. Bergman ◽

D. Michael McFarland

Keyword(s):

Vibration Control ◽

Limit Cycle ◽

Nonlinear Energy Sink ◽

Van Der Pol Oscillator ◽

Numerical Continuation ◽

Parameter Study ◽

Limit Cycle Oscillations ◽

Van Der Pol ◽

Energy Sink ◽

Nonlinear Energy

We present a study of passive but efficient vibration control, wherein a so-called nonlinear energy sink (NES) completely eliminates the limit cycle oscillations (LCOs) of a van der Pol oscillator. We first perform a parameter study in order to get overall understanding of responses with respect to parameters. Then, we establish a slow flow dynamics model to perform analytical study of the suppression mechanism which corresponds to classical nonlinear energy pumping, i.e., passive, broadband, and targeted energy transfer through 1:1 resonance capture. Utilizing the method of numerical continuation of equilibrium, we also study the bifurcation of the steady state solutions. It turns out that the system may have either subcritical or supercritical LCOs, and that for some parameter domain the LCOs are completely eliminated. This suggests applicability of the NES to vibration control in self-excited systems.

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Vibration Control of Conveying Fluid Pipe Based on Inerter Enhanced Nonlinear Energy Sink

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2021.3049268 ◽

2021 ◽

pp. 1-14

Author(s):

Nan Duan ◽

Yuhu Wu ◽

Xi-Ming Sun ◽

Chongquan Zhong

Keyword(s):

Vibration Control ◽

Nonlinear Energy Sink ◽

Energy Sink ◽

Nonlinear Energy ◽

Conveying Fluid

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Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink

Nonlinear Dynamics ◽

10.1007/s11071-016-2992-x ◽

2016 ◽

Vol 86 (3) ◽

pp. 1761-1795 ◽

Cited By ~ 40

Author(s):

Ali Ebrahimi Mamaghani ◽

S. E. Khadem ◽

Saeed Bab

Keyword(s):

Vibration Control ◽

Nonlinear Energy Sink ◽

Pipe Conveying Fluid ◽

Periodic Excitation ◽

Energy Sink ◽

Nonlinear Energy ◽

Conveying Fluid

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Variable pitch spring for nonlinear energy sink: Application to passive vibration control

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406218761485 ◽

2018 ◽

Vol 233 (2) ◽

pp. 611-622 ◽

Cited By ~ 2

Author(s):

Donghai Qiu ◽

Manuel Paredes ◽

Sébastien Seguy

Keyword(s):

Vibration Control ◽

Nonlinear Energy Sink ◽

Displacement Function ◽

Generic Model ◽

Primary System ◽

Passive Vibration Control ◽

Variable Pitch ◽

Energy Sink ◽

Force Displacement ◽

Nonlinear Energy

This paper aims to propose a generalized methodology for designing a novel nonlinear energy sink with variable pitch springs. To this end, a generic model of the nonlinear energy sink system providing the nonlinearity of pure cubic stiffness is introduced. Key features of the model include: (i) specifically sizing two variable pitch springs to provide the force polynomial components with only linear and cubic terms; (ii) pre-compressing two springs at the transition point to produce smooth nonlinear force characteristics; (iii) adding a negative stiffness mechanism to counterbalance the linear term. To generate the variable pitch spring, design parametrization is implemented. The type of shape and the pitch distribution adopted for the spring are shown to fit the objective force–displacement function well. To validate the concept, a special sized nonlinear energy sink system is developed. Identification of the force–displacement relation and experiments for the whole system embedded on an electrodynamic shaker are studied. The results show that this nonlinear energy sink can not only output the anticipated nonlinearity, but can also produce energy pumping to protect the primary system in a large band of frequencies, thus making it practical for the application of passive vibration control.

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