Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

Ghamkhar, Madiha; Imran, Muhammad; Kamran, Muhammad; Soutis, C.

doi:10.1038/s41598-018-38122-0

Cited by 13 publications

(6 citation statements)

References 17 publications

(21 reference statements)

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“…For example, Shi et al 22 investigated carbon-nanotube-reinforced composite beams where different nanotube distributions were assumed including functionally graded distributions through the thickness of the beams. Other base models with functionally graded material distribution are also considered in recent literature, such as the work of Zhang and Liu 23 who investigated moving rectangular plates and the work of Ghamkhar et al 24 that discusses a three-layered cylinder shaped shell in which the central layer consists of functionally graded material. The static and dynamic characteristics of functionally graded materials are favorable in many scientific and engineering fields, such as aerospace, automobile, electronics, optics, chemistry, biomedical engineering, nuclear engineering and mechanical engineering 25 – 29 .…”

Section: Introductionmentioning

confidence: 99%

Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions

Lelkes,

Bak,

Kalmár-Nagy

2024

Sci Rep

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Functionally graded materials have broad engineering applications including mechanical engineering, electronics, chemistry, and biomedical engineering. One notable advantage of such materials is that their stiffness distribution can be optimized to avoid stress concentration. A novel approach for solving the equations describing the longitudinal vibration of functionally graded rods with viscous and elastic boundary conditions is proposed. The characteristic equation of the system is derived for the solution of the undamped case for the constant stiffness rod. Then, a homotopy method is applied to compute the eigenvalues and mode shapes of graded rods for viscoelastic boundary conditions. The changes of the eigenvalues and mode shapes as function of the damping parameters are investigated. The optimal damping of the system is computed. It is shown that the qualitative behavior depends on the relation between the actual damping and the optimal damping of the system. The energy density distribution of graded rods is also discussed. An energy measure, the mean scaled energy density distribution is introduced to characterize the energy distribution along the rod in the asymptotic time limit. The significance of such a measure is that it reveals how the energy tends to distribute along the rod. It is shown that the energy distribution can be manipulated by changing the damping parameters. Qualitative changes depending on the relation between the actual damping and the optimal damping are highlighted.

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Section: Introductionmentioning

confidence: 99%

Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions

Lelkes,

Bak,

Kalmár-Nagy

2024

Sci Rep

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“…Bouhlali et al [6] presented the nonlinear thermo-elastic analysis of thick FGM plates without considering the effect of shear correction factors. Ghamkhar et al [7] presented the vibration frequency analysis of three-layered FGM cylinder shells with the numerical method by considering the axial and circumferential wave numbers of mode shapes. Nguyen et al [8] presented the refined FSDT of displacements and no shear correction factor to investigate the free vibration of FGM plates.…”

Section: Introductionmentioning

confidence: 99%

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Hong

2024

JSEAM

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The effects of shear deformation theory and improved shear correction factors on the advanced computation of frequencies by using the fully homogeneous equation for thick functionally graded material (FGM) circular cylindrical shells are studied. It is quite reasonable to consider the extra advanced effect of third-order shear deformation theory (TSDT) of displacements on the varied shear correction coefficient. The values of advanced nonlinear shear correction coefficient are usually functions of the nonlinear coefficient term in TSDT, power-law exponent parameter, and environment temperature. The main achievements in the nonlinear case of displacements and with the varied value of shear correction coefficients, the non-dimensional fundamental frequencies are estimated, investigated, and compared with the values in the linear case. This paper aims to study the fundamental frequencies of very thick FGM cylindrical shells under the advanced effects of shear deformation theory and improved shear correction factors.

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“…The studies conducted in this field can be categorized into different applications such as pressure vessels, roof structures, open structures, and marine structures. Hence, various theories and solutions have been proposed for the vibration analysis of such structures 1 – 4 .…”

Section: Introductionmentioning

confidence: 99%

Dynamic examination of closed cylindrical shells utilizing the differential transform method

Khosravi,

Shahabian,

Aftabi Sani

2024

Sci Rep

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This article presents an innovative approach using the Differential Transform Method (DTM) to analyze the vibration characteristics of cylindrical shells, integrating Taylor's series with Sander's classical theory. It demonstrates DTM's efficiency, accuracy, and potential as an alternative method. The study introduces a novel application of the DTM in exploring the free vibration of cylindrical shells, detailing a technique to address challenges such as normalization, linear solution methodologies, and parameter derivative modifications. A dimensionless parameter analysis evaluates the impact of length, radius, thickness, and modulus of elasticity. Comparative analysis with Hybrid Finite Element Method (FEM) data and validation against existing literature highlights DTM's precision and reliability. In conclusion, DTM offers a robust solution for the eigenvalue problem in coupled differential equations, providing accurate vibration parameters. Additionally, an important relationship between the modulus of elasticity and frequency in the dimensionless state was obtained.

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Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

Cited by 13 publications

References 17 publications

Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions

Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Dynamic examination of closed cylindrical shells utilizing the differential transform method

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