Vibration analysis of FGPM beam: A review

Sharma, Pankaj

doi:10.1016/j.matpr.2020.11.621

Cited by 10 publications

(2 citation statements)

References 81 publications

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“…However, the inner laminar interface is easy to crack owing to the abrupt changes of material properties. This defect can be eliminated by using a new kind of Functionally Graded Piezoelectric (FGP) Materials (FGPMs), which has a continuous and smooth spatial variation of material properties (Sharma, 2021). Recent investigations displayed that the use of FGPMs can improve the reliability and service life of structures.…”

Section: Introductionmentioning

confidence: 99%

Double Legendre polynomial quadrature-free method for axisymmetric vibration of functionally graded piezoelectric circular plates

Zhou

Han

Elmaimouni

et al. 2023

Journal of Vibration and Control

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A double Legendre polynomial quadrature-free method was presented to analyze axisymmetric free vibration problem for axially polarized Functionally Graded Piezoelectric circular plates. The present analytical method directly incorporated the boundary conditions into the vibration control equation. At the same time, the mechanical displacements and the electrical potential were defined as the form of double Legendre polynomials series. Then, the solution of eigenvalue was used to obtain the resonant/anti-resonant frequencies. In view of including lots of time-consuming integration calculations, the quadrature-free process was deduced to improve the computational efficiency. The valid of the presented method was verified by the comparison with the existing literature and the commercial software COMSOL. Furthermore, the effects of the material gradient index, radius-thickness ratio on the frequencies, and electro-mechanical coupling efficient were studied. The results showed that the frequency-radius product tends to be stable with the increase of the radius-thickness ratio, and the increase of gradient index led to the increase of the frequency-radius product.

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Section: Introductionmentioning

confidence: 99%

Double Legendre polynomial quadrature-free method for axisymmetric vibration of functionally graded piezoelectric circular plates

Zhou

Han

Elmaimouni

et al. 2023

Journal of Vibration and Control

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“…В статье [3] представлен обзор, касающийся исследований структурных элементов из ФГ-пьезоматериалов. Отмечено, что при моделировании неоднородности обеспечивается переход упругих свойств одного материала к свойствам другого по степенному, экспоненциальному или сигма-образному законам.…”

Section: Introductionunclassified

On the Vibrations of Functionally Graded Electroelastic Rods

Vatul’yan

Yurov

2022

PSP

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The problems of steady-state vibrations of functionally graded electroelastic rods for two types of polarization were investigated. The functional gradient is characterized by a change along the longitudinal coordinate of the isothermal elastic compliance and the piezoelectric modulus. The linear, quadratic and exponential laws of inhomogeneity are used in the work. To simulate damping, a model of a standard viscoelastic body was used, which is used within the framework of the concept of complex modules. For the numerical solution of the tasks set, the shooting method was applied. In order to verify the computational scheme, an exact solution of the problem is constructed for the case of constant properties. An analysis of the influence of the laws of inhomogeneity was carried out for laws that have the same mean integral values. The amplitude-frequency characteristics of current and conductivity are constructed. Antiresonances are investigated, the presence of two types is established, depending on the laws of inhomogeneity. An asymptotic analysis of the problem is performed for the case of low frequencies. It is shown that in the low-frequency range, the mechanical longitudinal stress depends only on the law of change in the piezoelectric modulus, while the displacement also depends on the law of change in elastic compliance. As a result of computational experiments, the features of the current's amplitude-frequency characteristic (AFC) structure in the vicinity of the second resonance were revealed. The AFC has a different quality factor depending on whether the compliance functions and the piezoelectric modulus have the same or different types of monotonicity. It is revealed that the first resonance from the frequency range under consideration has low sensitivity to the laws of inhomogeneity, and the third resonance is affected sufficiently by the inhomogeneity laws and can be used to determine the type of monotonicity when solving inverse problems on reconstructing properties.

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