Torsional vibration and buckling of the cylindrical shell with functionally graded coatings surrounded by an elastic medium

Sofiyev, A.H.; Kuruoğlu, N.

doi:10.1016/j.compositesb.2012.09.046

Cited by 86 publications

(23 citation statements)

References 38 publications

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“…Table 1 compares the static critical load for a torsion-loaded un-stiffened FGM cylindrical shell without foundation, with those presented by Huang and Han [13] and Sofiyev and Kuruoglu [22]. The input parameters are taken to be h=0.01m, L/R=2, k=1, 11 1.68063 10 c E = × Pa, 11 1.05698 10 Table 2 compares the present results for a torsion-loaded un-stiffened isotropic cylindrical shell without foundation, with those reported by Shen [12] using HDST and with experimental results presented by Nash [31].…”

Section: Comparative Studiesmentioning

confidence: 93%

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

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Please cite this article as: D.V. Dung, L.K. Hoa, A semi-analytical approach to analyze the nonlinear dynamic torsional buckling of stiffened FGM circular cylindrical shells surrounded by elastic medium, Appl. Math. Modelling (2015), doi: http://dx. Abstract:This research presents a semi-analytical method to analyze the nonlinear dynamic behavior of FGM thin circular cylindrical shells surrounded by elastic foundations and under a time-dependent torsional load. Shell is stiffened by closely spaced orthogonal FGM stiffeners system which is attached to inner surface of shell. An elastic medium is assumed as twoparameter elastic foundation model proposed by Pasternak. Fundamental relations and governing equations for stiffened cylindrical shells are derived by using the Donnell shell theory with von Karman geometrical nonlinearity and the smeared stiffeners technique. Deflection function with three-term taking into account a nonlinear buckling shape, is chosen more correctly. Galerkin method is used. The critical dynamic torsional load is found by using fourth order Runge-Kutta method and Budiansky-Roth criterion. Carrying out some computations, effects of stiffener, foundations, material and dimensional parameters on the dynamic buckling behavior of shell have been studied.

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Section: Comparative Studiesmentioning

confidence: 93%

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

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“…Recently, the torsional vibration of cylindrical shell with FG coatings surrounded by an elastic medium have been investigated by Sofiyev and Kurougle [68]. To the best of authors' knowledge, there are not researches on the nonlinear buckling behavior of cylindrical shells with FG coatings with the external axial stiffeners.…”

Section: Introductionmentioning

confidence: 98%

Effect of stiffeners on nonlinear buckling of cylindrical shells with functionally graded coatings under torsional load

Thang

Nguyen-Thoi

2016

Composite Structures

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“…On the research of the torsional problem, Sofiyev et al [2,3] pointed out the torsional vibration and buckling analysis of a cylindrical shell surrounded by an elastic medium. The torsion of a circular cylindrical bar made of either an isotropic compressible or an isotropic incompressible linear elastic material with material moduli varying only in the axial direction was taken into account by Batra [4].…”

Section: Introductionmentioning

confidence: 99%

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

2015

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The nonlinear buckling and post-buckling problems of functionally graded stiffened toroidal shell segments surrounded by an elastic medium under torsion based on an analytical approach are investigated. The rings and stringers are attached to the shell, and material properties of the shell are assumed to be continuously graded in the thickness direction. The classical shell theory with the geometrical nonlinearity in von Kármán sense and the smeared stiffeners technique are applied to establish theoretical formulations. The three-term approximate solution of deflection is chosen more correctly, and the explicit expression to find critical load and post-buckling torsional load-deflection curves is given. The effects of geometrical parameters and the effectiveness of stiffeners on the stability of the shell are investigated.

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Torsional vibration and buckling of the cylindrical shell with functionally graded coatings surrounded by an elastic medium

Cited by 86 publications

References 38 publications

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Effect of stiffeners on nonlinear buckling of cylindrical shells with functionally graded coatings under torsional load

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

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