Evaluation of uncertainty effects to band gap behavior of circuitry-integrated piezoelectric metamaterial using order-reduced analysis

Pan, Wangbai; Tang, Guoan; Tang, Jiong

doi:10.1177/1045389x18778359

Cited by 11 publications

(3 citation statements)

References 38 publications

(40 reference statements)

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“…In the context of industrial applications, the material and manufacturing tolerances can also introduce disturbances that affect the periodicity [ 27 , 28 ]. In [ 29 , 30 , 31 ], the influence of uncertainties in periodic structures has been investigated. In order to put the VAMM concept into real-world applications, it is important to quantify the impact of uncertainties in factors such as resonator parameters, the spatial distance between resonators, real-boundary conditions, and non-periodicity on the stop band of the finite VAMM.…”

Section: Introductionmentioning

confidence: 99%

A Power-Based Framework for Quantifying Parameter Uncertainties in Finite Vibroacoustic Metamaterial Plates

Atzrodt,

Maniam,

Droste

et al. 2023

Materials

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Vibroacoustic metamaterials (VAMMs) are artificial materials that are specifically designed to control, direct, and manipulate sound waves by creating a frequency gap, known as the stop band, which blocks free wave propagation. In this paper, a new power-based approach that relies on the active structural intensity (STI) for predicting the stop band behavior of finite VAMM structures is presented. The proposed method quantifies the power loss in a locally resonant finite VAMM plate in terms of percentage, such as STI99% and STI90%, for stop band prediction. This allows for the quantitative analysis of the vibration attenuation capabilities of a VAMM structure. This study is presented in the context of a two-dimensional VAMM plate with 25 resonators mounted in the middle section of the plate. It has been demonstrated that this method can predict the stop band limits of a finite VAMM plate more accurately than using negative effective mass, unit cell dispersion analysis, or the frequency response function methods. The proposed approach is then implemented to establish a framework for investigating the influence of parameter uncertainties on the stop band behavior of the VAMM plate. Based on the STI99% method, which aims for significant vibration reduction, stricter tolerances in the mass fabrication process are required to ensure the robustness of VAMM. Conversely, the STI90% method suggests that larger fabrication tolerances can be leveraged to achieve a broader stop band range while still meeting the desired performance level, leading to cost savings in manufacturing.

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Section: Introductionmentioning

confidence: 99%

A Power-Based Framework for Quantifying Parameter Uncertainties in Finite Vibroacoustic Metamaterial Plates

Atzrodt,

Maniam,

Droste

et al. 2023

Materials

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“…Since the performance of bandgap formation and the control strategies are strongly dependent on the designed circuit impedance, it creates a strong rationale to investigate its sensitivity and influence due to small variations and disorders. Pan et al [41] investigated the effect of uncertainty on the geometry between the host beam, the piezoelectric transducers and random piezoelectric capacitance on the bandgap formation. They found that the local resonant bandgap behaviour is not much sensitive to different parametric uncertainty configurations but to circuitry parameter uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Bandgap manipulation of single and multi-frequency smart metastructures with random impedance disorder

Machado¹,

Moura²,

Dey³

et al. 2022

Smart Mater. Struct.

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Randomness in the media breaks its periodicity aﬀecting the vibration and wave propagation performance. Such disorder caused by the variability may lead to interesting physical phenomena such as trapping and scattering waves, wave reﬂection, and energy localisation. While the randomness may be attributed to manufacturing irregularities and quantifying its eﬀect is crucial for ensuring adequate performance of a range of smart systems, these eﬀects can also be exploited for manipulating the wave properties. Here we investigate a smart metastructure in the form of a beam integrated with piezoelectric transducers coupled to a resonant shunt circuit. The piezoelectric shunt in a periodical arrangement can induce locally resonant bandgaps that can be employed in wave and vibration manipulation (and control). This paper quantiﬁes the uncertainty associated with electrical circuit components that aﬀect the circuit impedance. Such uncertainty essentially propagates to the beam smart metamaterial, inﬂuencing its wave and vibration control feature. Numerical results of the unimorph meta-beam with single and multi-frequency shunt conﬁguration show that the bandgap behaviour is sensitive to the random disorder associated with circuit impedance parameters, which can, in turn, be exploited for enhanced functionalities based on optimal RL shunt circuits for controlling structural vibration response along with wave propagation and attenuation.

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“…31 and 32, whereby ideal periodicity in the formation of the meta-atoms is assumed in the three papers previously mentioned papers on metamaterials. Pan et al 33 discuss the effects of uncertainties in the geometry on the formation of band-gaps of piezoelectric-acoustic metamaterials. Another piece of work on the influence of uncertain stiffness and damping parameters on the properties of acoustic metamaterials was published by Sepahvand and Marburg.…”

Section: Introductionmentioning

confidence: 99%

Spectral Stochastic Infinite Element Method in Vibroacoustics

Kronowetter

Moheit

Eser

et al. 2020

J. Theor. Comp. Acout.

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A novel method to solve exterior Helmholtz problems in the case of multipole excitation and random input data is developed. The infinite element method is applied to compute the sound pressure field in the exterior fluid domain. The consideration of random input data leads to a stochastic infinite element formulation. The generalized polynomial chaos expansion of the random data results in the spectral stochastic infinite element method. As a solution technique, the non-intrusive collocation method is chosen. The performance of the spectral stochastic infinite element method is demonstrated for a time-harmonic problem and an eigenfrequency study.

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Evaluation of uncertainty effects to band gap behavior of circuitry-integrated piezoelectric metamaterial using order-reduced analysis

Cited by 11 publications

References 38 publications

A Power-Based Framework for Quantifying Parameter Uncertainties in Finite Vibroacoustic Metamaterial Plates

A Power-Based Framework for Quantifying Parameter Uncertainties in Finite Vibroacoustic Metamaterial Plates

Bandgap manipulation of single and multi-frequency smart metastructures with random impedance disorder

Spectral Stochastic Infinite Element Method in Vibroacoustics

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