Space–time wave localization in electromechanical metamaterial beams with programmable defects

Thomes, Renan Lima; Beli, Danilo; Marqui, Carlos De

doi:10.1016/j.ymssp.2021.108550

Cited by 25 publications

(7 citation statements)

References 61 publications

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“…Furthermore, integrating piezoelectric materials, renowned for their intelligent properties [13,14], into the design step of defective PnCs starts devising various engineering prototypes that harness the potential of defect-mode-induced wave localization [15][16][17][18]. These piezoelectric materials can serve as useful defects themselves or be strategically attached to defect sites.…”

Section: Introductionmentioning

confidence: 99%

Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation

Jo,

Lee,

Youn

2023

Mathematics

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Extensive prior research has delved into the localization of elastic wave energy through defect modes within phononic crystals (PnCs). The amalgamation of defective PnCs with piezoelectric materials has opened new avenues for conceptual innovations catering to energy harvesters, wave filters, and ultrasonic receivers. A recent departure from this conventional paradigm involves designing an ultrasonic actuator that excites elastic waves. However, previous efforts have mostly focused on single-defect scenarios for bending-wave excitation. To push the boundaries, this research takes a step forward by extending PnC design to include double piezoelectric defects. This advancement allows ultrasonic actuators to effectively operate across multiple frequencies. An analytical model originally developed for a single-defect situation via Euler–Bernoulli beam theory is adapted to fit within the framework of a double-defect set-up, predicting wave-excitation performance. Furthermore, a comprehensive study is executed to analyze how changes in input voltage configurations impact the output responses. The ultimate goal is to create ultrasonic transducers that could have practical applications in nondestructive testing for monitoring structural health and in ultrasonic imaging for medical purposes.

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Section: Introductionmentioning

confidence: 99%

Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation

Jo,

Lee,

Youn

2023

Mathematics

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“…When examining previous research performed in simulations or experiments, it is important to note that the input signals used in each study can vary significantly. For example, some studies have excited burst waves that consist of only a few or tens of cycles [21][22][23][24][25], while others have excited continuous waves [26][27][28][29][30]. Although the amplitudes (e.g., strain, displacement, or velocity) of these incident waves may be normalized or scaled to be identical, a comparison of the absolute energy-localization performance that can be calculated or measured within the defects across different input signal settings is questionable.…”

Section: Introductionmentioning

confidence: 99%

Impact of Input Signal Characteristics on Energy-Localization Performance of a Phononic Crystal with a Defect: A Comparative Study of Burst and Continuous Wave Excitation

2023

Crystals

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This study examines the energy-localization performance of a one-dimensional phononic crystal (PnC) with a defect when exposed to burst waves of different cycle numbers under longitudinal waves. Using the finite element method, band structures of the defect-introduced PnC were calculated, revealing a phononic band-gap range, defect-band frequencies, and corresponding defect-mode shapes. The transient analysis examined the longitudinal displacement at the center of this defect in the time domain for various burst-wave scenarios. The results indicate that energy-localization performance inside the defect highly depended on the number of cycles. Energy-localization performance was better with larger cycles or continuous waves, although burst waves with a small number of cycles also showed some improvement, albeit limited. Moreover, burst waves with a small number of cycles did not clearly induce fixed-like boundary conditions (in other words, nodal points in standing waves) within the defect-introduced PnC, leading to obscure energy-localized behaviors. Key messages from this work can be summarized as follows. First, comparing the energy-localization performance under incident burst waves with different cycle numbers for different systems might not be appropriate. Second, the physically reasonable formation of defect-mode-enabled energy localization requires burst waves with a large (in the case study, over 500) number of cycles.

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“…However, the wave propagation characteristics of graded metamaterials depend on the deterministic grading function, which is limited to monotonically increasing (ascending) or decreasing (descending) of the LR frequency array. Additionally, due to the break of periodicity, a unique phenomenon called wave localization/trapping [37] occurs. Wave localization leads to the concentration of vibration energy at different sections of a host structure as the excitation frequency varies.…”

Section: Introductionmentioning

confidence: 99%

Adaptive genetic algorithm enabled tailoring of piezoelectric metamaterials for optimal vibration attenuation

Jian

Tang²,

Hu³

et al. 2022

Smart Mater. Struct.

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Piezoelectric metamaterials with shunt resonant circuits have been extensively investigated for their tunability in bandgaps. However, the vibration attenuation ability induced by the electromechanical coupling is generally weaker than that of mechanical metamaterials, limiting their applications in engineering practice. This research presents a non-uniform piezoelectric metamaterial beam with shunt circuit parameters optimized by an adaptive genetic algorithm for tailoring the vibration attenuation zone. First, the non-uniform piezoelectric metamaterial beam is modeled for transmittance analysis and verified by the finite element method. By simultaneously tuning the resonance frequencies and the resistance of the shunt circuits, it is conceptually demonstrated that the attenuation zone can be broadened, and the undesired localized vibration modes can be mitigated. Subsequently, two optimization strategies are proposed respectively for two typical vibration scenarios. The inductances and the load resistance in the shunt circuits constitute the set of design variables and are optimized by the adaptive genetic algorithm. Dedicated case studies are carried out, and the results show that the objective-oriented circuitry parameters can greatly enrich the design freedom, and tailor the transmittance profile according to a given vibration spectra. As compared to the conventional uniform and the graded piezoelectric metamaterial beams, the proposed design provides superior vibration attenuation performance and demonstrates a promising approach for tailoring piezoelectric metamaterials systems.

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Space–time wave localization in electromechanical metamaterial beams with programmable defects

Cited by 25 publications

References 61 publications

Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation

Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation

Impact of Input Signal Characteristics on Energy-Localization Performance of a Phononic Crystal with a Defect: A Comparative Study of Burst and Continuous Wave Excitation

Adaptive genetic algorithm enabled tailoring of piezoelectric metamaterials for optimal vibration attenuation

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