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.

scholarly journals Dynamics of Nonlinear Primary Oscillator with Nonlinear Energy Sink under Harmonic Excitation: Effects of Nonlinear Stiffness

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Min Sun ◽  
Jianen Chen
Keyword(s):  
Averaging Method ◽  
Nonlinear Energy Sink ◽  
Excitation Amplitude ◽  
Harmonic Excitation ◽  
Nonlinear Stiffness ◽  
Frequency Range ◽  
Steady State Responses ◽  
Energy Sink ◽  
State Responses ◽  
Nonlinear Energy

The dynamics of a system consisting of a nonlinear primary oscillator, subjected to a harmonic external force, and a nonlinear energy sink (NES) are investigated. The analytical solutions for the steady-state responses are obtained by the complexification-averaging method and the analytical model is confirmed by numerical simulations. The results indicate that the introduction of the NES can effectively suppress the vibrations of the primary oscillator. However, as the excitation amplitude increased, the NES may lose its efficiency within certain frequency range due to the appearance of the high response branches. Following the results analysis, it is concluded that this failure can be eliminated by reducing the nonlinear stiffness of the NES properly. The effects of nonlinear stiffness of the primary oscillator on the corresponding responses are also studied. The increase in this nonlinear stiffness can reduce the response amplitude and alter the frequency band where the high branches exist.

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 Frequency-Energy Plots of Bistable Nonlinear Energy Sink

2021 ◽  
Author(s):  
Mohammed Ameen Al Shudeifat ◽  
Adnan Salem Saeed
Keyword(s):  
Large Scale ◽  
Initial Conditions ◽  
Energy Levels ◽  
Dynamical Behavior ◽  
Nonlinear Energy Sink ◽  
Low Energy ◽  
Unstable Equilibrium ◽  
Numerical Continuation ◽  
Energy Sink ◽  
Nonlinear Energy

Abstract The nonlinear energy sink (NES), which is proven to perform rapid and passive targeted energy transfer (TET), has been has been employed for vibration mitigation in many primary small- and large-scale structures. Recently, the feature of bistability, in which two nontrivial stable equilibria and one trivial unstable equilibrium exist, is utilized for passive TET in what is known as Bistable NES (BNES). The BNES generates a nonlinear force that incorporates negative linear and multiple positive or negative nonlinear stiffness components. In this paper, the BNES is coupled to a linear oscillator (LO) where the dynamic behavior of the resulting LO-BNES system is studied through frequency-energy plots (FEPs), which are generated by analytical approximation using the complexification-averaging method and by numerical continuation techniques. The effect of the length and stiffness of the transverse coupling springs is found to affect the stability and topology of the branches and indicates the importance of the exact physical realization of the system. The rich nonlinear dynamical behavior of the LO-BNES system is also highlighted through the appearance of multiple symmetrical and unsymmetrical in- and out of- phase backbone branches, especially at low energy levels. The wavelet transform is imposed into the FEP for variety of initial conditions and damping content and it is found that the FEP has backbone branches at low energy levels associated with the oscillation of the bistable attachments about one of its stable equilibrium positions where passage through the unstable equilibrium position does not occur.

Study on target energy transfer of 3D acoustic cavity - plate coupling system with the membrane nonlinear energy sink

2021 ◽  
Vol 263 (1) ◽  
pp. 5891-5901
Author(s):  
Jinmeng Yang ◽  
JianWang Shao ◽  
GuoMing Deng ◽  
Xian Wu
Keyword(s):  
Energy Transfer ◽  
Sound Pressure ◽  
Single Point ◽  
Nonlinear Energy Sink ◽  
Coefficient Matrix ◽  
Acoustic Medium ◽  
Acoustic Cavity ◽  
Target Energy ◽  
Energy Sink ◽  
Nonlinear Energy

The target energy transfer (TET) between a membrane nonlinear energy sink (NES) and the acoustic medium inside a rectangular cavity is studied. The acoustic medium is interacted with a plate and multi-order modes coupling of the 2 structure is considered. Based on the modal expansion approach, with Green's function, Helmholtz equation and the boundary conditions of the acoustic medium and the plate, the coupling coefficient matrix of the mode of 2 structures is derived. The equations of the membrane NES, multi-order modes of the acoustic medium and multi-order modes of the plate are established, and numerical analysis is used to investigate the TET phenomenon. The results show that in condition of a single-point excitation to the plate, under a certain range of excitation levels, the membrane can be seen as a kind of NES, and the energy in the acoustic medium can be unidirectionally transmitted to the membrane NES and attenuated, reducing the sound pressure level in the cavity. At the same time, it is found that the NES can suppress multi-order sound pressure of the acoustic medium at the same time, and realize the control of cascaded resonance noise.

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

2021 ◽  
pp. 146441932110460
Author(s):  
Arash Khalatbari ◽  
Amir Jalali ◽  
Habib Ahmadi ◽  
Kamran Foroutan
Keyword(s):  
Energy Dissipation ◽  
Total Energy ◽  
Invariant Manifolds ◽  
Equations Of Motion ◽  
Nonlinear Energy Sink ◽  
Multiple Scale ◽  
Excitation Amplitude ◽  
Energy Pumping ◽  
Energy Sink ◽  
Nonlinear Energy

In this paper, one of the most efficient passive absorbers, called nonlinear energy sink (NES), is analytically studied. A two-degree-of-freedom system is considered which consists of a linear oscillator (LO) with a base excitation and an NES, called grounded NES (GNES), which is connected to the ground with a nonlinear spring. In this study, we proposed a new arrangement of potential elements in GNES and studied invariant manifolds of the system, as well as the energy absorption performance of the NES. The system is considered in the vicinity of 1:1 resonance to investigate the strongly modulated response (SMR). To this end, after obtaining the equations of motion, the Manevitch complex variable and multiple scale method are applied to solve the equations, analytically. Then, the slow invariant manifold (SIM) is obtained. Also, the energy dissipation ratio of the NES and the percentage of the instantaneous total energy stored in the NES are calculated via the time-amplitude diagram. The results show that when the nonlinear effect decreases, the occurrence of energy pumping is less probable. Also, when the excitation amplitude decreases, the percentage of the instantaneous total energy stored in the NES increases as well as the amount of energy dissipation.

Piezoelectric Actuated Nonlinear Energy Sink With Tunable Attenuation Efficiency

2019 ◽  
Vol 87 (2) ◽  
Author(s):  
Jian Zhao ◽  
Ming Lyu ◽  
Hongxi Wang ◽  
Najib Kacem ◽  
Yu Huang ◽  
...  
Keyword(s):  
Nonlinear Energy Sink ◽  
Mathematic Model ◽  
Threshold Value ◽  
Excitation Amplitude ◽  
Wide Frequency Range ◽  
Application Range ◽  
High Attenuation ◽  
Energy Pumping ◽  
Energy Sink ◽  
Nonlinear Energy

Abstract Comparing to linear vibration absorbers, nonlinear energy sinks (NESs) have attracted worldwide attention for their intrinsic characteristics of targeted energy transfer or energy pumping in a relatively wide frequency range. Unfortunately, they are highly dependent on the vibration amplitude to be attenuated and will play its role only if the external load exceeds a specific threshold value. Different from the passive bistable NES, a novel piezoelectric nonlinear energy sink (PNES) is designed by introducing in-phase actuation to compensate or enhance the external vibration loads, thus triggering the NES operating in high attenuation efficiency. The nonlinear mathematic model of the PNES is established for investigating the dynamic response and determining the threshold compensation strategy. And the results show that the maximum attenuation efficiency can be improved by 58.16% compared to the traditional passive NES. Also, the amplitude-dependent coefficient (ADC) can be significantly reduced to 0.33 from 1.0, which means that the PNES can effectively mitigate vibrations even when the excitation amplitude is 67% smaller than the original threshold value. Finally, the feasibility of the in-phase compensation method is experimentally validated, which can further expand the application range of NES.

scholarly journals Nonlinear energy sink applied for low-frequency noise control inside acoustic cavities: A review

2020 ◽  
pp. 146134842097282
Author(s):  
Jianwang Shao ◽  
Jinmeng Yang ◽  
Xian Wu ◽  
Tao Zeng
Keyword(s):  
Energy Transfer ◽  
Noise Control ◽  
Low Frequency ◽  
Nonlinear Energy Sink ◽  
Frequency Noise ◽  
Low Frequency Noise ◽  
Target Energy ◽  
Energy Sink ◽  
Acoustic Cavities ◽  
Nonlinear Energy

In recent years, the research of nonlinear energy sink on low-frequency noise control has become a hotspot. By adding a nonlinear energy sink into one primary system, it is possible to obtain the significant target energy transfer characteristics. The target energy transfer can be defined for which the vibration energy of the primary structure is irreversibly transferred to the nonlinear energy sink, quickly concentrated in the nonlinear energy sink and dissipated by the nonlinear energy sink damping. This method has significant advantages to control the broadband low-frequency noise inside the transportations (such as cars, trains, airplanes, etc.). Compared with traditional noise reduction methods such as adding the damping and acoustical materials, the nonlinear energy sink has a simple and lightweight structure. The paper reviews the nonlinear characteristics of the nonlinear energy sink, the main theoretical research methods and the applications of vibration and noise control, and discusses the application of the nonlinear energy sink for the control of low-frequency noise inside the three-dimensional acoustic cavities, which provides the reference and guidance for the low-frequency noise control inside the acoustic cavities of the mean of transportation.

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.

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