Free Vibration Analysis of Rotating Circular Cylindrical Shells on an Elastic Foundation

Ng, TP; Lam, K.Y.

doi:10.1115/1.568445

Cited by 9 publications

(1 citation statement)

References 12 publications

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“…Despite the evident importance of practical applications cylindrical shells, the investigations on vibration and stability of homogeneous and FGM shells on elastic foundations are limited in the literature [16][17][18][19][20][21][22][23]. The stability problem of composite cylindrical shells that composed of ceramic-FGM-metal layers embedded in an elastic medium, subjected to an axial compressive load have not been studied yet.…”

Section: Introductionmentioning

confidence: 99%

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

Sofiyev¹,

Avcar²

2010

ENG

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In this study, the stability of cylindrical shells that composed of ceramic, FGM, and metal layers subjected to axial load and resting on Winkler-Pasternak foundations is investigated. Material properties of FGM layer are varied continuously in thickness direction according to a simple power distribution in terms of the ceramic and metal volume fractions. The modified Donnell type stability and compatibility equations on the Pasternak foundation are obtained. Applying Galerkin's method analytic solutions are obtained for the critical axial load of three-layered cylindrical shells containing an FGM layer with and without elastic foundation. The detailed parametric studies are carried out to study the influences of thickness variations of the FGM layer, radius-to-thickness ratio, material composition and material profile index, Winkler and Pasternak foundations on the critical axial load of three-layered cylindrical shells. Comparing results with those in the literature validates the present analysis.

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Section: Introductionmentioning

confidence: 99%

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

Sofiyev¹,

Avcar²

2010

ENG

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Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells

Ghasemi

Meskini

2019

SN Appl. Sci.

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In this study, the free vibration studies of rotating circular cylindrical shells composited of functionally graded materials (FGMs) layer with simply supported boundary condition has been investigated. The FGM S layer composed from metal and ceramic that metal has on the outer surface and ceramic has on the inner surface of the circular cylinder shells. Based on the Love's first approximation shell theory, relations between strain and displacement are expressed. Then, according to Hamilton's principle, the governing equations for the cylindrical shell are extracted. Also, due to the simply supported boundary condition, the Navier's solution is used to solve the equations of the cylindrical shell. Then the results obtained with the present method compared with the results of other investigations. The results are compared with a results that presented by other researchers. Finally, the results obtained from the rotating FGMs cylindrical shells for length to radius ratio, rotating speed, axial and circumferential wave number, are presented.

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On the stability of functionally graded truncated conical shells reinforced by functionally graded stiffeners and surrounded by an elastic medium

Dung

Hoa

Nga

2014

Composite Structures

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Free Vibration Analysis of Rotating Circular Cylindrical Shells on an Elastic Foundation

Abstract: [S0739-3717(00)01301-5]

Cited by 9 publications

References 12 publications

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells

On the stability of functionally graded truncated conical shells reinforced by functionally graded stiffeners and surrounded by an elastic medium

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