Transverse vibration responses of the in-plane-wise functionally graded piezoelectric composite plates

Shen, Yu; Zhang, Pengchong; He, Wei; Xu, Mingwei; Duan, Qiuyu

doi:10.1080/15376494.2021.2020939

Cited by 7 publications

(1 citation statement)

References 78 publications

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“…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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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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Vibration characteristics of smart laminated carbon nanotube-reinforced composite cylindrical shells resting on elastic foundations with open circuit

Bisheh

2023

Structures

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Thermo-electro-elastic coupled modeling and simulation of functionally graded piezoelectric structures

WANG,

CHEN,

HUANG

et al. 2023

西北工业大学学报

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Compared with the composite materials, the functionally graded materials can not only provide better specific stiffness but also reduce the risk of layered damage. Therefore, the graded distribution forms have become the development trend of advanced structures. An efficient finite element (FE) modeling method and numerical simulation of plate and shell with nonlinear temperature gradient coupling are developed based on the FOSD hypothesis for thermo-electro-elastic coupled functionally graded piezoelectric material (FGPM) integrated with smart structures in this paper. The constitutive model for thermo-electro-elastic coupled FGPM is derived. Assuming that the temperature gradient distribution changes secondarily through the thickness, two nonlinear physical models for temperature change are constructed. Based on the FOSD hypothesis, the multi-field coupled FE equation of plate and shell is derived. The accuracy of the present FE model is verified by the commercial calculation structures. The parametric simulation of FGPM shells is carried out based on the FE model.

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Transverse vibration responses of the in-plane-wise functionally graded piezoelectric composite plates

Cited by 7 publications

References 78 publications

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

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

Vibration characteristics of smart laminated carbon nanotube-reinforced composite cylindrical shells resting on elastic foundations with open circuit

Thermo-electro-elastic coupled modeling and simulation of functionally graded piezoelectric structures

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