scholarly journals Performance evaluation and design criterion of a bistable nonlinear energy sink

2021 ◽  
Author(s):  
Hu Ding ◽  
Guo-Xu Wang ◽  
Li-Qun Chen
Keyword(s):  
Performance Measures ◽  
Dissipation Rate ◽  
Nonlinear Energy Sink ◽  
Harmonic Excitation ◽  
Energy Dissipation Rate ◽  
Vibration Mitigation ◽  
Root Model ◽  
Energy Sink ◽  
Nonlinear Energy ◽  
Square Root Model

Abstract In the evaluation of the vibration mitigation effect of a nonlinear energy sink (NES), the selection of performance measures is important. Based on a square root model, this paper aims to propose new reasonable performance measures and new design criteria of the NES in harmonic excitation. To broaden the application range of the slow invariant manifold, coordinate correction is carried out for the square root model of the bistable NES. Two original performance measures (the displacement amplitude of the main system and the energy dissipation rate of the NES) and two new performance measures (the mechanical energy and the input energy of the main system) are compared. The optimal geometric configuration and response form of the NES are found in different excitation conditions. The results show that the energy dissipation rate of the NES is not competent to evaluate the performance of the NES in harmonic excitation, while the two new performance measures show competence. By adjusting the geometry parameter, the nonlinear vibration absorber with positive linear stiffness and the bistable NES show optimal vibration mitigation effect in small and large excitation amplitudes, respectively. The optimal response form is the periodic response rather than the strongly modulated response.

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.

scholarly journals Vibration mitigation of a bridge cable using a nonlinear energy sink: design and experiment

2015 ◽  
Vol 24 ◽  
pp. 06007 ◽  
Author(s):  
Mathieu Weiss ◽  
Bastien Vaurigaud ◽  
Alireza Ture Savadkoohi ◽  
Claude-Henri Lamarque
Keyword(s):  
Nonlinear Energy Sink ◽  
Vibration Mitigation ◽  
Energy Sink ◽  
Bridge Cable ◽  
Nonlinear Energy

scholarly journals Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Tianjiao Zhang ◽  
Luyu Li ◽  
Yilin Zheng
Keyword(s):  
Initial Conditions ◽  
Nonlinear Energy Sink ◽  
Excitation Amplitude ◽  
Harmonic Excitation ◽  
Dynamic Responses ◽  
Parameter Design ◽  
Target Energy ◽  
Energy Sink ◽  
Optimal Stiffness ◽  
Nonlinear Energy

The dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. In civil engineering, initial conditions are usually zero or approximately zero. Therefore, in this study, only these conditions are considered. The strongly modulated response (SMR), whose occurrence is conditional, is the precondition for effective target energy transfer (TET) in this system. Therefore, this study aims to determine the parameter range in which the SMR can occur. The platform phenomenon and other related phenomena are observed while analyzing slow-varying equations. An excitation amplitude interval during which the SMR can occur is obtained, and an approximate analytical solution of the optimal nonlinear stiffness is found. The numerical results show that the NES based on the optimal stiffness performs better in terms of control performance.

Thermal Effect on Dynamics of Beam with Variable-Stiffness Nonlinear Energy Sink

2020 ◽  
Vol 21 (1) ◽  
pp. 1-10 ◽  
Author(s):  
J. E. Chen ◽  
W. Zhang ◽  
M. H. Yao ◽  
J. Liu ◽  
M. Sun
Keyword(s):  
Variable Stiffness ◽  
Nonlinear Energy Sink ◽  
Excitation Amplitude ◽  
Harmonic Excitation ◽  
Absorption Efficiency ◽  
Nonlinear Stiffness ◽  
Vibration Absorption ◽  
Low Stiffness ◽  
Energy Sink ◽  
Nonlinear Energy

AbstractIn this study, we investigate the targeted energy transfer (TET) from a simply supported beam that is subjected to thermal variations and external excitations to a local nonlinear energy sink (NES). We derive the governing equation of motion for the beam with an NES device and study the influences of NES parameters on the vibration-suppressing effect. We obtain the optimized parameters of the NES under constant-amplitude harmonic excitation at room temperature. The optimized NES gradually loses its vibration absorption efficiency as the excitation amplitude and temperature increase. We change the nonlinear stiffness of the NES to mitigate the influence of temperature variation and show that NES efficiency can be enhanced by reducing the nonlinear stiffness. We propose a variable-stiffness NES, and the results demonstrate this NES is best for maintaining efficiency over the whole temperature range. We also analyze the transient responses of the system under impulse loads. Results indicate that, like the performance of the system subjected to harmonic excitation, an NES with relatively low stiffness can better suppress vibration with increasing impulse amplitude and temperature.

Piezoelectric Nonlinear Energy Sink for Energy Harvesting With Rectifying DC Interface Circuit

2018 ◽  
Author(s):  
Liuyang Xiong ◽  
Lihua Tang ◽  
Kefu Liu ◽  
Brian R. Mace
Keyword(s):  
Energy Harvesting ◽  
Electromechanical Coupling ◽  
Circuit Simulation ◽  
Harmonic Balance Method ◽  
Nonlinear Energy Sink ◽  
Harmonic Excitation ◽  
Interface Circuit ◽  
Dc Power ◽  
Energy Sink ◽  
Nonlinear Energy

In order to improve the performance of vibration energy harvesters over a broad frequency range, this paper proposes a use of piezoelectric nonlinear energy sink (NES) for energy harvesting from ambient vibrations. A standard rectifying direct current (DC) interface circuit is considered to generate DC power from the piezoelectric NES under harmonic excitation. Harmonic balance method is used to obtain the dynamic response and energy harvesting performance of the proposed piezoelectric NES, verified by the equivalent circuit simulation. Analytical and numerical results show that the design, by applying NES, improves the efficiency of energy harvesting without increasing the vibration of the primary structure in a broadband manner. The effects of the electromechanical coupling, excitation level and load resistance on the magnitude and bandwidth of the output DC power are investigated.

scholarly journals Targeted Energy Transfer Under Harmonic Forcing With a Vibro-Impact Nonlinear Energy Sink: Analytical and Experimental Developments

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
Etienne Gourc ◽  
Guilhem Michon ◽  
Sébastien Seguy ◽  
Alain Berlioz
Keyword(s):  
Multiple Scales ◽  
Equations Of Motion ◽  
Nonlinear Energy Sink ◽  
Small Mass ◽  
Harmonic Excitation ◽  
Mass Ratio ◽  
Electrodynamic Shaker ◽  
Energy Sink ◽  
Nonlinear Energy ◽  
Good Agreement

Recently, it has been demonstrated that a vibro-impact type nonlinear energy sink (VI-NES) can be used efficiently to mitigate vibration of a linear oscillator (LO) under transient loading. The objective of this paper is to investigate theoretically and experimentally the potential of a VI-NES to mitigate vibrations of an LO subjected to a harmonic excitation (nevertheless, the presentation of an optimal VI-NES is beyond the scope of this paper). Due to the small mass ratio between the LO and the flying mass of the NES, the obtained equations of motion are analyzed using the method of multiple scales in the case of 1:1 resonance. It is shown that in addition to periodic response, system with VI-NES can exhibit strongly modulated response (SMR). Experimentally, the whole system is embedded on an electrodynamic shaker. The VI-NES is realized with a ball which is free to move in a cavity with a predesigned gap. The mass of the ball is less than 1% of the mass of the LO. The experiment confirms the existence of periodic and SMR regimes. A good agreement between theoretical and experimental results is observed.

Dynamics and evaluation of a nonlinear energy sink integrated by a piezoelectric energy harvester under a harmonic excitation

2018 ◽  
Vol 25 (4) ◽  
pp. 851-867 ◽  
Author(s):  
Xiang Li ◽  
Ye-Wei Zhang ◽  
Hu Ding ◽  
Li-Qun Chen
Keyword(s):  
Energy Harvesting ◽  
Vibration Suppression ◽  
Average Energy ◽  
Nonlinear Energy Sink ◽  
Harmonic Excitation ◽  
Response Curves ◽  
Piezoelectric Energy ◽  
Energy Sink ◽  
Piezoelectric Harvester ◽  
Nonlinear Energy

The harmonically excited structure coupled with the nonlinear energy sink (NES) and a piezoelectric harvester is investigated. The complexification-averaging method is developed to analyze ordinary differential equations which also include one first order differential equation. Effects of varying parameters for the piezoelectric harvester on the saddle-node bifurcation and the Hopf bifurcation are explored. Analytical results of the amplitude–frequency response curves are verified by the numerical evidence. Global bifurcations for NES parameters are presented. Comparisons of periodic results for bifurcation diagrams are performed both numerically and analytically as well as their stable ranges. The integration of nonlinear vibration suppression and energy harvesting is discussed. The output voltage, power, displacement transmissibility, and average energy are calculated to explore the integration. Quasi-periodic responses near the resonance frequency contribute to effectively reducing the resonant amplitude and improving the bandwidth of energy harvesting, as well as targeted energy transfer. Results confirm that the integration of vibration suppression and piezoelectric energy harvesting can be enhanced by adjusting cubic nonlinearity.

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