Nonlinear vibration control of a cantilever beam by a nonlinear energy sink

2012 ◽  
Vol 50 ◽  
pp. 134-149 ◽  
Author(s):  
Z. Nili Ahmadabadi ◽  
S.E. Khadem
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Cantilever Beam ◽  
Nonlinear Energy Sink ◽  
Nonlinear Vibration Control ◽  
Energy Sink ◽  
Nonlinear Energy

Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink

2018 ◽  
Vol 95 (2) ◽  
pp. 1435-1456 ◽  
Author(s):  
K. Zhou ◽  
F. R. Xiong ◽  
N. B. Jiang ◽  
H. L. Dai ◽  
H. Yan ◽  
...  
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Nonlinear Energy Sink ◽  
Nonlinear Vibration Control ◽  
Energy Sink ◽  
Nonlinear Energy

Nonlinear Normal Modes of a Continuous Cantilever Beam with Nonlinear Energy Sink Absorber

2013 ◽  
Vol 325-326 ◽  
pp. 214-217
Author(s):  
Yong Chen ◽  
Yi Xu
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Normal Modes ◽  
Nonlinear Energy Sink ◽  
Nonlinear Normal Modes ◽  
Harmonic Excitation ◽  
Energy Sink ◽  
Nonlinear Normal ◽  
Nonlinear Energy ◽  
Good Agreement

Using nonlinear energy sink absorber (NESA) is a good countermeasure for vibration suppression in wide board frequency region. The nonlinear normal modes (NNMs) are helpful in dynamics analysis for a NESA-attached system. Being a primary structure, a cantilever beam whose modal functions contain hyperbolic functions is surveyed, in case of being attached with NESA and subjected to a harmonic excitation. With the help of Galerkins method and Raushers method, the NNMs are obtained analytically. The comparison of analytical and numerical results indicates a good agreement, which confirms the existence of the nonlinear normal modes.

Vibration control of a nonlinear beam with a nonlinear energy sink

2015 ◽  
Vol 83 (1-2) ◽  
pp. 1-22 ◽  
Author(s):  
M. Kani ◽  
S. E. Khadem ◽  
M. H. Pashaei ◽  
M. Dardel
Keyword(s):  
Vibration Control ◽  
Nonlinear Energy Sink ◽  
Nonlinear Beam ◽  
Energy Sink ◽  
Nonlinear Energy

scholarly journals Integration of Geometrical and Material Nonlinear Energy Sink with Piezoelectric Material Energy Harvester

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Ye-Wei Zhang ◽  
Chuang Wang ◽  
Bin Yuan ◽  
Bo Fang
Keyword(s):  
Vibration Control ◽  
Energy Harvester ◽  
Mechanical Energy ◽  
Piezoelectric Element ◽  
Nonlinear Energy Sink ◽  
Primary System ◽  
Hysteresis Behavior ◽  
Energy Sink ◽  
Material Nonlinear ◽  
Nonlinear Energy

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.

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

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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