Influences of shear deformations and material gradient on the linear parametric instability of laminated orthotropic conical shells

Sofiyev, A.H.

doi:10.1016/j.compstruct.2019.111156

Cited by 8 publications

(2 citation statements)

References 41 publications

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“…The general solution for Equations ( 31) and ( 32), taking into account Equation (34), is as follows:…”

Section: Flexoelectric Effect In the Modeling Of Conical Nanoshellsmentioning

confidence: 99%

“…Among different types of FGM shell geometries, the vibrations of conical shells have been meticulously analyzed in the last decade by several researchers [33]. One of the most recent works in this area, A.H. Sofiyev focused on the linear parametric instability of laminated inhomogeneous orthotropic conical shells with transforming the governing equation into the Mathieu form using the Galerkin approach plus Bolotin method [34]. The thermoelastic buckling of FGM conical shells, due to a nonlinear temperature rise, was studied in accordance with the shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

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Free Vibrations of Flexoelectric FGM Conical Nanoshells with Piezoelectric Layers: Modeling and Analysis

et al. 2022

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Flexoelectric and piezoelectric effects have attracted the attention of researchers, owing to their applications in sensing systems and actuators. In this paper, the vibration of functionally graded material (FGM) conical nanoshell is studied, taking into account both piezoelectricity and flexoelectricity. The nanoshell has a sandwich-type structure with a FGM core and two layers of piezoelectric materials on its top and bottom. With the combination of the first order shear deformation and Eringen’s nonlocal theories, the vibration equation of the nanoshell is developed. In order to study the governing equations and the frequency of vibrations of nanoshell, the generalized differential quadrature method is implemented. Based on the developed numerical solution procedure, the effect of different parameters, such as flexoelectricity, piezoelectricity, nonlocal term and Pasternak foundation, are shown on the vibrations of conical nanoshell. The presented analysis provides a better insight into the behavior of conical nanoshells, which are highly applicable in bio-sensing and optical devices.

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“…The general solution for Equations ( 31) and ( 32), taking into account Equation (34), is as follows:…”

Section: Flexoelectric Effect In the Modeling Of Conical Nanoshellsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free Vibrations of Flexoelectric FGM Conical Nanoshells with Piezoelectric Layers: Modeling and Analysis

et al. 2022

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Nonlinear vibration suppression of laminated composite conical shells on elastic foundations with magnetostrictive layers

Mohammadrezazadeh

Jafari

2021

Composite Structures

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Dynamics of the truncated conical thin-wall turning process

Wan

Wang

Yang

2023

Journal of Manufacturing Processes

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Influences of shear deformations and material gradient on the linear parametric instability of laminated orthotropic conical shells

Cited by 8 publications

References 41 publications

Free Vibrations of Flexoelectric FGM Conical Nanoshells with Piezoelectric Layers: Modeling and Analysis

Free Vibrations of Flexoelectric FGM Conical Nanoshells with Piezoelectric Layers: Modeling and Analysis

Nonlinear vibration suppression of laminated composite conical shells on elastic foundations with magnetostrictive layers

Dynamics of the truncated conical thin-wall turning process

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