A Nonlinear Vibration Absorber Based on Nonlinear Shunted Piezoelectrics

2012 ◽  
Author(s):  
Biao Zhou ◽  
Fabrice Thouverez ◽  
David Lenoir
Keyword(s):  
Nonlinear Vibration ◽  
Mechanical System ◽  
Normal Modes ◽  
Nonlinear Normal Modes ◽  
Forced Response ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Mechanical Oscillator ◽  
Nonlinear Vibration Absorber ◽  
Piezoelectric Vibration

In this research, a nonlinear shunted piezoelectric is proposed for practical realization of nonlinear vibration absorbers. The main advantage of the electro-mechanical system is that non-linearity can be readily achieved by proper circuit design. First, the dynamics of a SDOF linear mechanical oscillator coupled to a nonlinear shunted piezoelectric attachment is studied. Both the nonlinear normal modes and the nonlinear forced response of the electro-mechanical system are investigated. Numerical simulation reveals that under certain condition, a fast, passive energy transfer from the mechanical oscillator to the piezoelectric attachment is observed. The essentially nonlinear absorber is also able to work over broad frequency band under periodic excitation with a smaller inductance requirement compared with the linear piezoelectric vibration absorber. The application of piezoelectric vibration absorbers to simplified blade-disk structures is also taken into consideration. It is shown that when blades become mistuned, the nonlinear vibration absorber yields better vibration mitigation performance than the linear shunt circuit does. Namely, the blade mistuned vibration could be reduced by the nonlinear effect in the piezoelectric absorber. However, to improve the performance of piezoelectric-based vibration absorber, a systematic and rigorous study of the optimal tuning design deserves further investigation.

Design Procedure of a Nonlinear Vibration Absorber: Enhancement of the Amplitude Robustness

2010 ◽  
Author(s):  
Re´gis Viguie´ ◽  
Gae¨tan Kerschen
Keyword(s):  
Nonlinear Vibration ◽  
Energy Dependence ◽  
Primary Structure ◽  
Nonlinear Oscillations ◽  
Design Procedure ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Challenging Problem ◽  
Innovative Design ◽  
Nonlinear Vibration Absorber

Nonlinear vibration absorbers are known as being frequency-robust but not amplitude-robust devices. This lack of amplitude robustness is due to the frequency-energy dependence of their related nonlinear oscillations. This feature makes the design of nonlinear vibration absorbers a particulary challenging problem. In this paper an innovative design procedure of a nonlinear vibration absorber is proposed so that a nonlinear mode of a nonlinear primary structure can be controlled in a frequency and amplitude robustness fashion.

The Influence of Additively Manufactured Nonlinearities on the Dynamic Response of Assembled Structures

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Hang Shu ◽  
Scott A. Smith ◽  
Matthew R. W. Brake
Keyword(s):  
Nonlinear Vibration ◽  
Nonlinear Effects ◽  
Industrial Applications ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Internal Vibration ◽  
Lap Joint ◽  
Structural Dynamic ◽  
Nonlinear Vibration Absorber ◽  
Flat Interface

Abstract Structural dynamic techniques have been proven accurate at predicting the vibrations of single parts (i.e., monolithic specimens), which are widely used in industrial applications. However, vibration analysis of such assemblies often exhibits high variability or nonrepeatability due to jointed interfaces. Inspired by advances in additive manufacturing (AM) and nonlinear vibration absorber theory, this research seeks to redesign jointed structures in an attempt to reduce the nonlinear effects introduced by the jointed interfaces. First, the nonlinear dynamics of a conventionally manufactured beam and an AM beam are measured in both a traditional (flat) lap joint assembly and also a “linearized” lap joint configuration (termed the small pad). Second, the internal structure of the AM beam is varied by printing specimens with internal vibration absorbers. With the two interface geometries studied in this experiment, the flat interface is found to be predominantly nonlinear, and introducing a vibration absorber fails to reduce the nonlinearities from the jointed interface. The small-pad responses are relatively linear in the range of excitation used in the analysis, and the nonlinear effects are further reduced with the presence of a center vibration absorber. Overall, the energy dissipation at the interface is highly dependent on the design of the contact interface and the internal vibration absorber. Adding a nonlinear vibration absorber alone is insufficient to negate the interfacial nonlinearity from the assembly; therefore, future work is needed to study the shape, location, and material for the design and fabrication of nonlinear vibration absorbers.

scholarly journals Prediction of Isolated Resonance Curves Using Nonlinear Normal Modes

2015 ◽  
Author(s):  
R. J. Kuether ◽  
L. Renson ◽  
T. Detroux ◽  
C. Grappasonni ◽  
G. Kerschen ◽  
...  
Keyword(s):  
Normal Modes ◽  
Resonance Curve ◽  
Element Model ◽  
Nonlinear Normal Modes ◽  
Initial Guess ◽  
Forced Response ◽  
Numerical Continuation ◽  
Continuation Algorithm ◽  
Resonance Curves ◽  
Nonlinear Normal

Isolated resonance curves are separate from the main nonlinear forced-response branch, so they can easily be missed by a continuation algorithm and the resonant response might be underpredicted. The present work explores the connection between these isolated resonances and the nonlinear normal modes of the system and adapts an energy balance criterion to connect the two. This approach provides new insights into the occurrence of isolated resonances as well as a method to find an initial guess to compute the isolated resonance curve using numerical continuation. The concepts are illustrated on a finite element model of a cantilever beam with a nonlinear spring at its tip. This system presents jumps in both frequency and amplitude in its response to a swept sinusoidal excitation. The jumps are found to be the result of a modal interaction that creates an isolated resonance curve that eventually merges with the main resonance branch as the excitation force increases. Excellent insight into the observed dynamics is provided with the NNM theory, which supports that NNMs can also be a useful tool for predicting isolated resonance curves and other behaviors in the damped, forced response.

Forced Vibration of Systems With Nonlinear, Nonsymmetrical Characteristics

1957 ◽  
Vol 24 (3) ◽  
pp. 435-439
Author(s):  
S. Mahalingam
Keyword(s):  
Approximate Solution ◽  
Linear System ◽  
Nonlinear Vibration ◽  
Forced Vibration ◽  
Free Vibrations ◽  
Frequency Function ◽  
Vibration Absorber ◽  
Single Degree Of Freedom ◽  
Nonlinear Vibration Absorber ◽  
Single Degree

Abstract A one-term approximate solution is given for the amplitudes of steady forced vibration of a single-degree-of-freedom system with a nonlinear (nonsymmetrical) spring characteristic. The method is similar to that of Martienssen (1), but the construction uses a modified curve (or “frequency function”) in place of the actual spring characteristic, the curve being so chosen that it gives the correct frequency for free vibrations. The method is extended to deal with a nonlinear vibration absorber fitted to a linear system.

Broadening the frequency bandwidth of a finite extensibility nonlinear vibration absorber by exploiting its internal resonances

2020 ◽  
Vol 102 (3) ◽  
pp. 1239-1270
Author(s):  
Alex Elías-Zúñiga ◽  
Luis Manuel Palacios-Pineda ◽  
Daniel Olvera-Trejo ◽  
Oscar Martínez-Romero
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Absorber ◽  
Frequency Bandwidth ◽  
Internal Resonances ◽  
Nonlinear Vibration Absorber ◽  
Finite Extensibility

Operational modal analysis of a nonlinear oscillation system under a harmonic excitation

2020 ◽  
pp. 095440622097755
Author(s):  
Xuchu Jiang ◽  
Feng Jiang ◽  
Biao Zhang
Keyword(s):  
Modal Analysis ◽  
Nonlinear Oscillation ◽  
Normal Modes ◽  
Nonlinear Normal Modes ◽  
Harmonic Excitation ◽  
Forced Response ◽  
Operational Modal Analysis ◽  
Single Frequency ◽  
Modal Parameters ◽  
Oscillation System

Operational modal analysis (OMA) is a procedure that allows the modal parameters of a structure to be extracted from the measured response to an unknown excitation generated during operation. Nonlinearity is inevitably and frequently encountered in OMA. The problem: The traditional OMA method based on linear modal theory cannot be applied to a nonlinear oscillation system. The solution: This paper aims to propose a nonlinear OMA method for nonlinear oscillation systems. The new OMA method is based on the following: (1) a self-excitation phenomenon is caused by nonlinear components; (2) the nonlinear normal modes (NNMs) of the system appear under a single-frequency harmonic excitation; and (3) using forced response data, the symbolic regression method (SR) can be used to automatically search for the NNMs of the system, whose modal parameters are implicit in the expression structure expressing each NNM. The simulation result of a three-degree-of-freedom (3-DOF) nonlinear system verifies the correctness of the proposed OMA method. Then, a disc-rod rotor model is considered, and the proposed OMA method’s capability is further evaluated.

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