Experimental Investigation of Low Frequency Noise Reduction Using a Nonlinear Vibroacoustic Absorber

2011 ◽  
Author(s):  
Sergio Bellizzi ◽  
Bruno Cochelin ◽  
Philippe Herzog ◽  
Pierre-Olivier Matte´i ◽  
Ce´dric Pinhe`de
Keyword(s):  
Vibrational Energy ◽  
Low Frequency ◽  
Nonlinear Energy Sink ◽  
Acoustic Medium ◽  
Frequency Noise ◽  
Primary System ◽  
Strongly Nonlinear ◽  
Energy Pumping ◽  
Energy Sink ◽  
Damped Oscillator

This work deals with the energy pumping phenomenon for acoustical applications. The concept of energy pumping is to passively reduce the vibrations of a primary system by attaching to it an essentially nonlinear damped oscillator also named Nonlinear Energy Sink (NES) creating a strongly nonlinear coupling which localizes and dissipates the vibrational energy. In the context of acoustics, a vibroacoustic coupling is used. In an earlier work, we showed experimentally that a loudspeaker used as a Suspended Piston (SP) working outside its range of linearity can be used as a NES. In this work, the performance and efficiency of a SP NES is studied numerically and experimentally. The considered acoustic medium is a resonant pipe. The coupling between the pipe and the NES is ensured acoustically by a small acoustic compliance (the air in a coupling box). Various observed aspects of energy pumping are presented: behavior under sinusoidal forcing, pumping threshold, resonance capture and transient response. As a SP NES technology permits an easy control of the moving mass of the NES, the effect of this parameter is also studied.

Design and Application of a Nonlinear Energy Sink to Mitigate Vibrations of an Air Spring Supported Slab

2005 ◽  
Author(s):  
Sanjay Goyal ◽  
Timothy M. Whalen
Keyword(s):  
Vibrational Energy ◽  
Low Frequency ◽  
Nonlinear Energy Sink ◽  
Design Parameters ◽  
Primary System ◽  
Air Spring ◽  
Low Frequency Vibration ◽  
Energy Sink ◽  
Isolation Device ◽  
Nonlinear Energy

In this paper we consider the application of a nonlinear energy sink (NES), a passive isolation device, to damp out energy from the low frequency modes of an air-spring supported slab to be installed at Purdue University’s Birck Nanotechnology Center. Analytical expressions to obtain energy sink design parameters, given some primary system specifications, have been derived. These expressions are then used to design the NES for the Birck air-spring supported slab. The designed NES is then analyzed via finite elements to study its efficacy in absorbing low frequency vibration from the slab. The study reveals that NES can serve as a good aid in dissipating vibrational energy induced by small disturbances in the slab.

Vibration Reduction Using an Attached Local Nonlinear Passive Absorber Based on a Clamped-Clamped Thin Blade

2013 ◽  
Author(s):  
S. Bellizzi ◽  
B. Cochelin ◽  
C. Pinhede
Keyword(s):  
Nonlinear Energy Sink ◽  
Experimental Results ◽  
Rigid Base ◽  
Primary System ◽  
Energy Pumping ◽  
Nonlinear Targeted Energy Transfer ◽  
Essential Stiffness Nonlinearity ◽  
Set Up ◽  
Damped Oscillator ◽  
Thin Blade

The concept of nonlinear targeted energy transfer also named energy pumping can be used to passively reduce the vibrations of a primary system by attaching to it an essentially nonlinear damped oscillator also named Nonlinear Energy Sink (NES). In this paper, a thin blade clamped beam is considered as a NES device and studied experimentally. This NES configuration is an alternative way to design an essential stiffness nonlinearity. The behavior of the thin blade structure is first analyzed experimentally and numerically using a 1 DOF nonlinear oscillator. Next, experimental results are presented to demonstrate that the thin blade NES can efficiently reduce the vibrations of a flexible structure. The test set-up is composed of a primary system and the NES. The primary system is a steel beam clamped at one of its end and the NES is attached at the primary structure by its rigid base. Experimental results are discussed and also compared to simulated results obtained from a model.

Targeted Energy Transfer With Several NES in Parallel: Theory and Experiments

2009 ◽  
Author(s):  
Alireza Ture Savadkoohi ◽  
Stephane Pernot ◽  
Claude Henri Lamarque
Keyword(s):  
Nonlinear Energy Sink ◽  
Single Degree Of Freedom ◽  
Strongly Nonlinear ◽  
Seismic Engineering ◽  
Energy Pumping ◽  
In Series ◽  
Energy Sink ◽  
Energy Activation ◽  
Nonlinear Energy ◽  
Theory And Experiments

The crucial point in the field of seismic engineering is to diminish the induced vibration energy as much as possible in a fast and almost irreversible manner. Recently the concept of Nonlinear Energy Sink (NES) has been developed such that the imposed energy to a linear single Degree of Freedom (DoF) substructure is transferred to one or series of strongly nonlinear light attachments; the mechanism is based on a 1:1 resonance capture. Nonlinear attachments can be designed to passively vibrate with any frequency; hence the system is efficient for both of transient and periodic excitations. Some drawbacks of these systems are as follows: they cannot kill the first peak of oscillation in the free time response that is linked to the energy activation of NES; moreover, the transformation of energy vanishes in time due to decrease of the strength of energy pumping. Using NES in series even cannot accelerate the phenomenon of energy pumping and some strange behavior due to the delay in the cooperation of NES in series is noticed. In this study, the transient dynamic behavior of multiple DoF systems with trees of parallel NES at each DoF is investigated, then experimental and numerical results of a four DoF structure with two parallel NES at the top floor are demonstrated and commented upon.

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.

Reliability analysis of the hysteretic nonlinear energy sink in shock mitigation considering uncertainties

2020 ◽  
Vol 26 (23-24) ◽  
pp. 2261-2273 ◽  
Author(s):  
George C Tsiatas ◽  
Dimitra A Karatzia
Keyword(s):  
Reliability Analysis ◽  
Nonlinear Energy Sink ◽  
System Response ◽  
Primary System ◽  
Dissipation Energy ◽  
Linear Elastic ◽  
Shock Mitigation ◽  
Energy Sink ◽  
Elastic Spring ◽  
Nonlinear Energy

The reliability of the hysteretic nonlinear energy sink in shock mitigation is investigated herein. The hysteretic nonlinear energy sink is a passive vibration control device which is coupled to a primary linear oscillator. Apart from its small mass and a nonlinear elastic spring of the Duffing oscillator, it also comprises a purely hysteretic and a linear elastic spring of potentially negative stiffness. The Bouc–Wen model is used to describe the force produced by both the purely hysteretic and linear elastic springs. The hysteretic nonlinear energy sink protects the primary system through the energy pumping mechanism which transfers energy from the primary system and dissipates it in the hysteretic nonlinear energy sink. Three nonlinear equations of motion describe the resulting two-degree-of-freedom system response. The parameters of the system to be considered as uncertain are the natural frequency of the primary system and the hysteretic nonlinear energy sink linear elastic spring, which follow a normal distribution. A reliability analysis is then performed to evaluate the robustness of the coupled system in the presence of uncertainty. Specifically, the reliability index is calculated based on first passage probabilities of distinct dissipation energy level crossings using the Monte Carlo method. Several examples are examined considering various levels of initial input energy, and useful conclusions are drawn concerning the influence of uncertainty in the system robustness.

Nonlinear Energy Sink With Uncertain Parameters

2006 ◽  
Vol 1 (3) ◽  
pp. 187-195 ◽  
Author(s):  
E. Gourdon ◽  
C. H. Lamarque
Keyword(s):  
Normal Modes ◽  
Nonlinear Energy Sink ◽  
Nonlinear Normal Modes ◽  
Supplementary Information ◽  
Uncertain Parameters ◽  
Energy Pumping ◽  
Energy Sink ◽  
Nonlinear Normal ◽  
Polynomial Chaos Expansions ◽  
Nonlinear Energy

The effects of a nonlinear energy sink during the instationary regime are analyzed by introducing uncertain parameters to verify the robustness of the transient spatial energy transfer when parameters are not well known. It was shown that it is possible to passively absorb energy from a linear nonconservative system (damped) structure to a nonlinear attachment weakly coupled to the linear one. This rapid and irreversible transfer of energy, named energy pumping, is studied by taking into account uncertainties on parameters, especially damping (since damping plays a great role and there is a lack of knowledge about it). In essence, the nonlinear subsystem acts as a passive nonlinear energy sink for impulsively applied external vibrational disturbances. The aim is to be able to apply energy pumping in practice where the nonlinear attachment realization will never perfectly reflect the design. Since strong nonlinearities are involved, polynomial chaos expansions are used to obtain information about random displacements. Not only are numerical investigations done, but nonlinear normal modes and the role of damping are also analytically studied, which confirms the numerical studies and shows the supplementary information obtained compared to a parametrical study.

Optimal Performance Comparison of Nonlinear Energy Sinks and Linear Tuned Mass Dampers

2021 ◽  
Author(s):  
Ivan Yegorov (Egorov) ◽  
Austin Uden ◽  
Daniil Yurchenko
Keyword(s):  
Nonlinear Energy Sink ◽  
Free Vibrations ◽  
Performance Comparison ◽  
Optimal Performance ◽  
Primary System ◽  
Secondary System ◽  
Impulsive Excitation ◽  
Secondary Systems ◽  
Energy Sink ◽  
Nonlinear Energy

Abstract This paper studies a targeted energy transfer (TET) mechanism for a two-degree-of-freedom (TDOF) model in free vibration. The model comprises a primary linear system and a secondary system in the form of an energy sink which can be nonlinear. The free vibrations are considered subject to an impulsive excitation exerted on the primary system, leading to a nonzero initial velocity. The goal is to obtain the spring parameters in the nonlinear energy sink (NES) so as to maximize an energy dissipation measure (EDM) representing the percentage of impulsive energy that is absorbed and dissipated in the NES. A global optimization algorithm is used for this purpose. The optimal performance is assessed for the purely linear, linear-cubic, and purely cubic configurations of the spring connecting the primary and secondary systems. The corresponding results are compared with each other. The optimization process is performed for the EDM averaged over given ranges of the initial impulse and natural frequency in the primary system. It is shown that the type of the optimal configuration can vary depending on these ranges.

Dynamics of an Eccentric Rotational Nonlinear Energy Sink

2011 ◽  
Vol 79 (1) ◽  
Author(s):  
O. V. Gendelman ◽  
G. Sigalov ◽  
L. I. Manevitch ◽  
M. Mane ◽  
A. F. Vakakis ◽  
...  
Keyword(s):  
Energy Transfer ◽  
Nonlinear Energy Sink ◽  
Experimental Investigations ◽  
Primary System ◽  
Targeted Energy Transfer ◽  
Energy Sink ◽  
Nonlinear Energy

The paper introduces a novel type of nonlinear energy sink, designed as a simple rotating eccentric mass, which can rotate with any frequency and; therefore, inertially couple and resonate with any mode of the primary system. We report on theoretical and experimental investigations of targeted energy transfer in this system.

Asymmetric Magnet-Based Nonlinear Energy Sink

2014 ◽  
Vol 10 (1) ◽  
Author(s):  
Mohammad A. AL-Shudeifat
Keyword(s):  
Permanent Magnets ◽  
Nonlinear Energy Sink ◽  
Weakly Nonlinear ◽  
Strongly Nonlinear ◽  
Shock Mitigation ◽  
Energy Inputs ◽  
Energy Sink ◽  
Dynamic Structures ◽  
Nonlinear Energy ◽  
Weakly Linear

The nonlinear energy sink (NES) is a light-weighted device used for shock mitigation in dynamic structures through its passive targeted energy transfer (TET) mechanism. Here, a new design for the NES is introduced based on using an asymmetric NES force. This force is strongly nonlinear in one side of the NES equilibrium position, whereas it is either weakly nonlinear or weakly linear in the other side. This is achieved by introducing the asymmetric magnet-based NES in which the asymmetric nonlinear magnetic repulsive force is generated by two pairs of aligned permanent magnets. Consequently, this proposed design is found to provide a considerable enhancement in the shock mitigation performance compared with the symmetric stiffness-based NESs for broadband energy inputs.

Design and performance analysis of a nonlinear energy sink attached to a beam with different support conditions

2015 ◽  
Vol 230 (4) ◽  
pp. 527-542 ◽  
Author(s):  
Majid Kani ◽  
Siamak E Khadem ◽  
Mohammad H Pashaei ◽  
Morteza Dardel
Keyword(s):  
Particle Swarm Optimization ◽  
Performance Analysis ◽  
Nonlinear Energy Sink ◽  
Optimization Method ◽  
Primary System ◽  
Swarm Optimization ◽  
Energy Sink ◽  
Support Conditions ◽  
And Performance ◽  
Nonlinear Energy

In this work, design and performance analysis of a nonlinear energy sink, attached to a beam (the primary system) with different support conditions, will be investigated. Here, the effects of both beam properties and external shock excitation are studied. For this purpose, equations of motion are derived by the Lagrange method. Then, parameters of the nonlinear energy sink are optimized by both sensitivity analysis and particle swarm optimization method. The results show that, increasing the first natural frequency of the primary system, on which an external impulse is imposed, will postpone the nonlinear energy sink activation. Also, increasing the amplitude of the shock excitation will tend to decrease the optimum value of the nonlinear energy sink stiffness. Using the particle swarm optimization method to obtain the optimized parameters of the nonlinear energy sink and its interaction with the primary system, which is a continuous one, is a new research area presented in this work.

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