Spectral Element Approach for Flexural Waves Control in Smart Material Beam With Single and Multiple Resonant Impedance Shunt Circuit

Machado, Marcela; Fabro, Adriano T.; Moura, Braion B. de

doi:10.1115/1.4047389

Cited by 7 publications

(7 citation statements)

References 28 publications

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“…Each piezoelectric-shunting circuit also works as an individual sensor. Figure 1(a) is the schematic representation of unit cell (m) composed of a beam-shunt-piezo (BPS) [33], connected to a bare beam (B) [44] element. On the BPS-B unitcell left boundary it has the interface (m-1) and on the right boundary the interface (m).…”

Section: Spectral Element Based Stochastic Formulationmentioning

confidence: 99%

“…The global stochastic electromechanical equation of motion coupling the shunt circuit to the piezoelectric component is defined in terms of the spectral stiffness matrix as [33,53] (note that the uncertainty in circuit propagates to the shunt expressions)…”

Section: Unimorph Beam Coupling With Shunt Circuit Containing Random ...mentioning

confidence: 99%

“…Such smart metamaterials can result in adaptive and multifunctional materials. Numerical methods applied to investigate vibration and wave using smart structure goes from modal analysis framework [26,27], state-space formulation [28] and finite element method [11,29] to spectral element method (SEM) [1,[30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Spectral Element Based Stochastic Formulationmentioning

confidence: 99%

Section: Unimorph Beam Coupling With Shunt Circuit Containing Random ...mentioning

confidence: 99%

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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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show abstract

“…Ren et al [61] used the SEM to model periodic composite phononic beams, enabling active tuning of BS band gaps. Other relevant works utilizing the SEM for modelling piezoelectric composites can be found in [62][63][64][65].…”

Section: Introductionmentioning

confidence: 99%

High-fidelity dynamics of piezoelectric covered metamaterial Timoshenko beams using the spectral element method

Tang

Upadrashta

et al. 2023

Smart Mater. Struct.

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Piezoelectric metamaterial beams have received enormous research interest for the applications of vibration attenuation and/or energy harvesting in recent years. This paper presents a generic modelling approach for predicting the high-frequency dynamics of piezoelectric metamaterial beams. The spectral element method (SEM) is used to derive the dynamic stiffness matrix of a composite piezoelectric beam segment. Boundary condition implementations are demonstrated. Both band structure and transmittance analyses are realized. Several case studies for piezoelectric metamaterial beams configured in different geometric/electrical forms are carried out. The corresponding finite element (FE) models are built for verification, and a comparison study with the transfer matrix method (TMM) is conducted. For the uniform configurations, an almost indistinguishable difference is noted between the theoretical and FE results. For the stepped configurations, only minor discrepancies are observed in the high-frequency responses. The improved robustness and stability of the SEM method compared to the TMM method are demonstrated. A further discussion has been provided to explain the cause of the high-frequency discrepancies: sudden changes in the cross-section of the beam result in the stress concertation effect and reduce the bending stiffness at the junction connection. Finally, the value of the high-fidelity modelling approach is reflected through a parametric-based optimization study towards merging the Bragg scattering (BS) and locally resonant (LR) band gaps in an example piezoelectric metamaterial beam to achieve a wide band gap.

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“…] developed a spectral element coupling the Euler-Bernoulli beam with a piezoelectric layer, and active piezoelectric. The smart beam spectral element with passive control was proposed and demonstrated in [2,21,22,23]. In this work, the objective is to use SEM to model a smart material consisting of an aluminium beam coupled to a PZT layer connected to the shunt circuit in the configuration of resistive, inductive, capacitive, and variations.…”

Section: Introductionmentioning

confidence: 99%

Vibration Control Using Piezoelectric Connected with Shunts Circuits

Moura¹,

Machado²

2021

14th WCCM-ECCOMAS Congress

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The study analyzes the dynamic behaviour and vibration attenuation of an Euler Bernoulli beam coupled with a piezoelectric layer. The vibration attenuation is given by the shunt circuit connected to the piezoelectric. This paper shows different shunt circuit impedances and how they affect the system's frequency response (FRF) functions. The spectral element method is used to model the intelligent material under analysis and has its function based on the exact solution of the wave equation, therefore, a single element is necessary to model the structure. The estimated responses for each shunt configuration express a relationship with the passive components used in the respective circuits. In each case, the circuit has a particular effect on FRFs.

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Spectral Element Approach for Flexural Waves Control in Smart Material Beam With Single and Multiple Resonant Impedance Shunt Circuit

Cited by 7 publications

References 28 publications

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

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

High-fidelity dynamics of piezoelectric covered metamaterial Timoshenko beams using the spectral element method

Vibration Control Using Piezoelectric Connected with Shunts Circuits

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