Multimodal Damping of a Nonlinear Structure with a Passive Piezoelectric Network

International audienceThis work proposes the implementation of a multimodal and fully passive piezoelectric tuned vibration absorber that mitigates several resonances of a nonlinear structure. By extending a principle of similarity, an analogous electrical network is designed in order to reproduce the dynamics of the mechanical structure. Several electrical resonances are simultaneously tuned to the mechanical resonances, thus providing the equivalent of a multimodal vibration absorber from electromechanical coupling through an array of piezoelectric patches. Furthermore, the use of a nonlinear capacitor in the analogous network generates an autonomous adjustment of the electrical resonance frequencies when the structure reaches the nonlinear domain. The interest of this method is proved experimentally by mitigating vibration over a wide frequency range that covers the first three modes of a beam with cubic nonlinearity

An analogue twin for piezoelectric vibration damping of multiple nonlinear resonances

peer reviewedThe objective of this study is to extend the concept of analogous piezoelectric networks to vibration mitigation of multiple nonlinear resonances. First, the undamped linear part of the electrical network is designed so as to possess similar modal characteristics as those of the underlying linear mechanical structure. Then, nonlinear electrical components possessing the same mathematical form as that of the mechanical nonlinearities are added to the network. Because both modal and nonlinear analogies are enforced, the electrical network can be seen as an analogue twin of the mechanical structure. When the network is coupled to the structure via an array of piezoelectric elements, it is shown numerically and experimentally that such an analogue twin offers important benefits for vibration mitigation over a broad range of frequencies and excitation amplitudes. © 2021 Elsevier Lt

Legislative Documents

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Voltage_Current_RM14_N87_10000.mat from A fully passive nonlinear piezoelectric vibration absorber

Time series dataset (time, voltage and current) for the RM14 inductor with 10000 turn

ETUDE DE L'ONCOGENE C-MYC AU COURS DE LA NEUROGENESE SPONTANEE OU INDUITE

International audienc

Acceleration_low_open.mat from A fully passive nonlinear piezoelectric vibration absorber

Time series dataset (time and acceleration) at low excitation level in open-circuit configuratio

Acceleration_low_short.mat from A fully passive nonlinear piezoelectric vibration absorber

Time series dataset (time and acceleration) at low excitation level in short-circuit configuratio

simu_nl_shunt.m from A fully passive nonlinear piezoelectric vibration absorber

MATLAB script for time simulation of the nonlinear piezoelectric tuned vibration absorbe

Acceleration_high_short.mat from A fully passive nonlinear piezoelectric vibration absorber

Time series dataset (time and acceleration) at high excitation level in short-circuit configuratio