scholarly journals Vibration Attenuation Optimization in a Rod With Different Periodic Piezoelectric Shunting Configurations

2021 ◽  
Vol 26 (3) ◽  
pp. 212-220
Author(s):  
Hui Guo ◽  
Yaru Zhang ◽  
Tao Yuan ◽  
Pei Sun Qian ◽  
Qian Cheng ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Wave Propagation ◽  
Numerical Model ◽  
Elastic Wave ◽  
Vibration Control ◽  
Wave Attenuation ◽  
Broad Band ◽  
Band Gaps ◽  
Attenuation Constant ◽  
Vibration Attenuation

Wave propagation control in piezoelectric meta-materials has been extensively investigated in recent years due to its significant effects on elastic wave attenuation. In this work, a novel piezoelectric meta-material rod connected to three configurations of shunting circuits is proposed for broad band gaps. The numerical model is constructed to predict the band gap, attenuation constant, and vibration transmission. For larger attenuation within the band gaps, the shunting circuit parameters are optimized with a genetic algorithm. The result shows that the structure with the optimized parameters provides prominent vibration control ability. Both the attenuation constant and the width of the band gaps are enlarged.

Elastic wave propagation in metamaterial rods with periodic shunted piezo-patches

2021 ◽  
Vol 263 (2) ◽  
pp. 4303-4311
Author(s):  
Edson J.P. de Miranda ◽  
Edilson D. Nobrega ◽  
Leopoldo P.R. de Oliveira ◽  
José M.C. Dos Santos
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Wave Attenuation ◽  
Periodic Structures ◽  
Band Gaps ◽  
Low Frequencies ◽  
Periodic Arrays ◽  
Extended Plane ◽  
Elastic Metamaterials ◽  
Piezoelectric Structures

The wave propagation attenuation in low frequencies by using piezoelectric elastic metamaterials has been developed in recent years. These piezoelectric structures exhibit abnormal properties, different from those found in nature, through the artificial design of the topology or exploring the shunt circuit parameters. In this study, the wave propagation in a 1-D elastic metamaterial rod with periodic arrays of shunted piezo-patches is investigated. This piezoelectric metamaterial rod is capable of filtering the propagation of longitudinal elastic waves over a specified range of frequency, called band gaps. The complex dispersion diagrams are obtained by the extended plane wave expansion (EPWE) and wave finite element (WFE) approaches. The comparison between these methods shows good agreement. The Bragg-type and locally resonant band gaps are opened up. The shunt circuits influence significantly the propagating and the evanescent modes. The results can be used for elastic wave attenuation using piezoelectric periodic structures.

scholarly journals Longitudinal wave propagation in a one-dimensional quasi-periodic waveguide

2019 ◽  
Vol 475 (2231) ◽  
pp. 20190392
Author(s):  
Vladislav S. Sorokin
Keyword(s):  
Wave Propagation ◽  
Wave Attenuation ◽  
Periodic Structures ◽  
Low Frequency ◽  
Periodic Waveguide ◽  
One Dimensional ◽  
Vibration Attenuation ◽  
Direct Separation ◽  
Longitudinal Wave Propagation ◽  
Spatial Modulations

The paper deals with the analysis of wave propagation in a general one-dimensional (1D) non-uniform waveguide featuring multiple modulations of parameters with different, arbitrarily related, spatial periods. The considered quasi-periodic waveguide, in particular, can be viewed as a model of pure periodic structures with imperfections. Effects of such imperfections on the waveguide frequency bandgaps are revealed and described by means of the method of varying amplitudes and the method of direct separation of motions. It is shown that imperfections cannot considerably degrade wave attenuation properties of 1D periodic structures, e.g. reduce widths of their frequency bandgaps. Attenuation levels and frequency bandgaps featured by the quasi-periodic waveguide are studied without imposing any restrictions on the periods of the modulations, e.g. for their ratio to be rational. For the waveguide featuring relatively small modulations with periods that are not close to each other, each of the frequency bandgaps, to the leading order of smallness, is controlled only by one of the modulations. It is shown that introducing additional spatial modulations to a pure periodic structure can enhance its wave attenuation properties, e.g. a relatively low-frequency bandgap can be induced providing vibration attenuation in frequency ranges where damping is less effective.

Numerical Model of the Spherical Elastic Wave Propagation in a Nonlinear Medium

1991 ◽  
Vol 02 (01) ◽  
pp. 250-253 ◽  
Author(s):  
IGOR BERESNEV
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Numerical Model ◽  
Elastic Wave ◽  
Nonlinear Medium ◽  
Nonlinear Effects ◽  
Seismic Wave Propagation ◽  
Geological Medium ◽  
Nonlinear Elastic ◽  
Nonlinear Elastic Wave

There are new experimental results showing that nonlinear effects are significant in seismic wave propagation through the upper part of the geological medium [1]. Nevertheless, no adequate models exist in seismology to describe theoretically such events. I describe here an attempt to derive a wave equation for the spherical nonlinear elastic wave and to solve it numerically.

Cantilever Beam Metamaterial Structure With Periodic Piezoelectric Arrays With High-Order Resonant Circuit Shunts for Vibration Control

2014 ◽  
Author(s):  
Wanlu Zhou ◽  
You Wu ◽  
Lei Zuo
Keyword(s):  
Resonant Frequency ◽  
Vibration Control ◽  
Vibration Reduction ◽  
Mechanical Vibration ◽  
High Order ◽  
Piezoelectric Transducers ◽  
Resonant Circuit ◽  
Attenuation Constant ◽  
Metamaterial Structure ◽  
Vibration Attenuation

Metamaterial structures of beam or plate with periodic piezoelectric arrays have attracted more and more attention in recent years, which are conventionally designed for waveguide and/or wave propagation attenuation. The metamaterial structure with periodic piezoelectric shunts has also been explored for vibration control. R shunt and R-L shunt are traditionally adopted for the shunt circuit. An innovative type of high-order resonant circuit shunt is proposed and investigated for the periodic piezoelectric metamaterial in this paper. The introduction of an external inductor in the R-L shunt forms a resonance with the piezoelectric capacitance, which has the effect of reducing mechanical vibration at the resonant frequency of LC branch, with a certain bandwidth. The design of high-order resonant circuit shunt is introducing one more resonance around the resonant frequency, which is expected to broaden the bandwidth of the vibration attenuation. Finite element modeling of the metamaterial structure with periodic piezoelectric transducers is established. The method of obtaining the attenuation constant is also presented. Simulations have been conducted on comparing the vibration control performances among piezoelectric arrays with R shunt, R-L shunt, and the proposed high-order resonant circuit shunt. The simulation results illustrate that the proposed metamaterial structure with high-order resonant circuit shunts has broader vibration attenuation bandwidth. However, there is a tradeoff between the vibration attenuation amplitude and the vibration attenuation bandwidth, that is, although the high-order resonant circuit shunt has broader vibration reduction bandwidth, it cannot attenuate in larger amplitude.

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