Dynamics of Hybrid Mechanical-Electromechanical Locally Resonant Piezoelectric Metastructures

Locally resonant metamaterials are characterized by bandgaps at wavelengths much larger than the lattice size, which enables low-frequency vibration attenuation in structures. Next-generation metastructures (i.e. finite metamaterial-based structures) hosting mechanical resonators as well as piezoelectric interfaces connected to resonating circuits enable the formation of two bandgaps, right above and below the design frequency of the mechanical and electrical resonators, respectively. This new class of hybrid metastructures proposed in this work can therefore exhibit a wider bandgap size and enhanced design flexibility as compared to using a purely mechanical, or a purely electromechanical metastructure alone. To this end, we bridge our efforts on modal analysis of mechanical and electromechanical locally resonant metastructures and establish a fully coupled framework for hybrid mechanical-electromechanical metastructures. Combined bandgap size is approximated in closed form for sufficient number of mechanical and electromechanical resonators. Case studies are presented to understand the interaction of these two locally resonating metastructure domains in bandgap formation, and conclusions are drawn for design and optimization of such hybrid metastructures. Numerical results from modal analysis are compared with dispersion analysis using the plane wave expansion method and the proposed analytical framework is validated succesfully.

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Modal analysis and demonstration of metastructure combining local resonators and an autonomous synchronized switch damping circuit

Journal of Low Frequency Noise Vibration and Active Control ◽

10.1177/14613484211068244 ◽

2022 ◽

pp. 146134842110682

Author(s):

Haruhiko Asanuma ◽

Sumito Yamauchi

Keyword(s):

Modal Analysis ◽

Low Frequency ◽

Coupled Analysis ◽

Resonant Vibration ◽

Power Sources ◽

Low Frequency Vibration ◽

Vibration Attenuation ◽

Signal Processors ◽

Coupled Equation ◽

Frequency Axis

A locally resonant metastructure is a promising approach for low-frequency vibration attenuation, whereas the attachment of many resonators results in unnecessary and multiple resonance outside the bandgap. To address this issue, we propose a damping metastructure combining local resonators and an autonomous synchronized switch damping circuit. On the basis of modal analysis, we derive an electromechanically coupled equation of the proposed metastructure. The piezo ceramics, which are attached on a small portion of the metastructure and connected to the circuit, remarkably decrease the magnitude of the resonant vibration with no extra sensors, signal processors, or power sources. The displacement at unnecessary resonance was decreased by approximately 75%. The results of the coupled analysis were similar to the experimentally observed results in terms of the location and width of the bandgap on the frequency axis and the decreased displacement for the circuit. The proposed technique can overcome the disadvantage of the metastructure.

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Low-Frequency Vibration and Radiation Performance of a Locally Resonant Plate Attached with Periodic Multiple Resonators

Applied Sciences ◽

10.3390/app10082843 ◽

2020 ◽

Vol 10 (8) ◽

pp. 2843

Author(s):

Qi Qin ◽

Meiping Sheng ◽

Zhiwei Guo

Keyword(s):

Boundary Conditions ◽

Band Gap ◽

Low Frequency ◽

Expansion Method ◽

Acoustic Power ◽

Radiation Efficiency ◽

Band Gaps ◽

Periodic Arrays ◽

Low Frequency Vibration ◽

The One

The low-frequency vibration and radiation performance of a locally resonant (LR) plate with periodic multiple resonators is studied in this paper, with both infinite and finite structure properties examined. For the finite cases, taking the LR plate attached with two periodic arrays of resonators as an example, the forced vibration response and the radiation efficiency are theoretically derived by adopting a general model with elastic boundary conditions. Through a comparison with the band structures calculated by the plane-wave-expansion method, it shows that the band gaps in the infinite LR plate are in good agreement with the vibration-attenuation bands in the finite LR plate, no matter what boundary conditions are applied to the latter. In contrast to the vibration reduction in the band gaps, the radiation efficiency of the finite LR plate is sharply increased in the band-gap frequency ranges. Furthermore, the acoustic power radiated from the finite LR plate can be seriously affected by its boundary conditions. For the LR plate with greater constraints, the acoustic power is reduced in the band-gap frequency ranges, while that from the one with fully free boundary conditions is increased. When further considering the damping loss factors of the resonators, the attenuation performance can be improved for both the vibration and radiation of the LR plate.

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Two-dimensional optical coherence vibration tomography for low-frequency vibration measurement and response-only modal analysis

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2016.02.027 ◽

2016 ◽

Vol 79 ◽

pp. 65-71 ◽

Cited By ~ 6

Author(s):

Jianfeng Zhong ◽

Shuncong Zhong ◽

Qiukun Zhang

Keyword(s):

Modal Analysis ◽

Low Frequency ◽

Vibration Measurement ◽

Optical Coherence ◽

Two Dimensional ◽

Low Frequency Vibration

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Modal Analysis of Bandgap Formation for Vibration Attenuation in Locally Resonant Finite Beams

Volume 8: 28th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2016-60552 ◽

2016 ◽

Author(s):

Christopher Sugino ◽

Stephen Leadenham ◽

Massimo Ruzzene ◽

Alper Erturk

Keyword(s):

Boundary Conditions ◽

Modal Analysis ◽

Low Frequency ◽

Optimal Number ◽

Frequency Range ◽

Design Guideline ◽

Arbitrary Boundary ◽

Low Frequency Vibration ◽

Vibration Attenuation ◽

Unit Cells

Metamaterials made from locally resonating arrays can exhibit attenuation bandgaps at wavelengths much longer than the lattice size, enabling low-frequency vibration attenuation. For an effective use of such locally resonant metamaterial concepts, it is required to bridge the gap between the dispersion characteristics and modal behavior of the host structure with its resonators. To this end, we develop a novel argument for bandgap formation in finite-length beams, relying on modal analysis and the assumption of infinitely many resonators. This assumption is analogous to the wave assumption of an infinitely long beam composed of unit cells, but gives additional analytical insight into the bandgap, and yields a simple formula for the frequency range of the bandgap. We present a design guideline to place the bandgap for a finite beam with arbitrary boundary conditions in a desired frequency range that depends only on the total mass ratio and natural frequency of the resonators. For a beam with a finite number of resonators and specified boundary conditions, we suggest a method for choosing the optimal number of resonators. We validate the model with both finite-element simulations and a simple experiment, and draw conclusions.

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A Study on the Fine Structure of the Lateral Line Organ of the Sea Eel

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100073684 ◽

1973 ◽

Vol 31 ◽

pp. 648-649

Author(s):

K. Hama

Keyword(s):

Fine Structure ◽

Electron Microscope ◽

Lateral Line ◽

Low Frequency ◽

Sensory Cells ◽

Apical Surface ◽

Voltage Electron ◽

Sensory Epithelia ◽

Low Frequency Vibration ◽

Transmission Electron

The lateral line organs of the sea eel consist of canal and pit organs which are different in function. The former is a low frequency vibration detector whereas the latter functions as an ion receptor as well as a mechano receptor.The fine structure of the sensory epithelia of both organs were studied by means of ordinary transmission electron microscope, high voltage electron microscope and of surface scanning electron microscope.The sensory cells of the canal organ are polarized in front-caudal direction and those of the pit organ are polarized in dorso-ventral direction. The sensory epithelia of both organs have thinner surface coats compared to the surrounding ordinary epithelial cells, which have very thick fuzzy coatings on the apical surface.

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