Thermal buckling of FGM shells resting on a two-parameter elastic foundation

Sofiyev, A.H.

doi:10.1016/j.tws.2011.03.018

Cited by 73 publications

(22 citation statements)

References 35 publications

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“…The obtained results are compared with the results of Huang and Han [7] who used the other method-Ritz method. Equations (30) and (33) are used to determine the critical loads of an FGM cylindrical shell without an elastic foundation. An FGM cylindrical shell is made of ZrO 2 / Ti-6Al-4V material at initial temperature T 0 = 300K by considering the following material properties of torsional load (Table 3):…”

Section: Validation Of the Present Studymentioning

confidence: 99%

“…Based on Eqs. (30) and (33), the post-buckling curves of a stiffened toroidal shell segment with various combinations of the mode (m, n, λ) are investigated. The corresponding curve to find the lower and upper critical loads is obtained.…”

Section: Effect Of the Mode (M N λ) On The Critical Torsional Loadmentioning

confidence: 99%

“…Moreover, the post-buckling of FGM cylindrical shells surrounded by an elastic medium was presented by Shen [30,31]. Sofiyev [32,33] studied the buckling of FGM shells on an elastic foundation. The buckling of a heterogeneous orthotropic truncated conical shell under an axial load and surrounded by elastic media based on the finite deformation theory was investigated by Sofiyev [34].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Validation Of the Present Studymentioning

confidence: 99%

Section: Effect Of the Mode (M N λ) On The Critical Torsional Loadmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2015

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“…Bagherizadeh et al [32] investigated the mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation based on a higher-order shear deformation shell theory. Sofiyev [33,34] and Shen [35,36] studied the buckling of FGM shells resting on an elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

Ninh

Bich

2016

Mechanics Research Communications

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“…As it is found recently, a few studies are devoted to the vibration behaviour of non-homogeneous orthotropic cylindrical shells and truncated conical ones of uniform thickness on elastic foundations as in [15][16][17][18]. Recently, a few researchers are directed to devote their studies for the vibration behaviour of functionally graded isotropic cylindrical shells based on elastic foundations and the best presentation can be found in [19][20][21], who employed the wave propagation method to solve the dynamical equations. In absence of elastic foundations, [22] good static and dynamics problems are presented for inhomogeneous shells with different cross sections in addition to their numerical solutions using spline function technique.…”

Section: Introductionmentioning

confidence: 99%

New approach for the vibrations of inhomogeneous orthotropic cylindrical shells resting on step-wise Winkler foundations

Ahmed

2014

Inverse Problems in Science and Engineering

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In this paper, Flügge's shell theory and solution for the vibration analysis of an inhomogeneous, orthotropic cylindrical shell resting on a circumferentially stepped Winkler foundation are carried out. The stepwise foundation consists of two regions having different stiffnesses and both regions are symmetric about the centrelines of the shell. The governing equations of the shell are formulated as a three-dimensional boundary-value problem and their solutions are obtained by a numerical-analytical approach. The trigonometric functions are used with Fourier's approach to approximate the solution in the longitudinal direction and also to reduce the two-dimensional problem to one-dimensional one. Using the transfer matrix approach and based on the method of initial parameters, these equations can be written in a matrix differential equation of first order in the circumferential coordinate and solved numerically as an initial-value problem. The proposed model is applied to get the inverse vibration frequencies and the corresponding mode shapes of the shell vibrations. The sensitivity of the vibration behaviour and bending deformations to the geometry of Winkler foundation, homogeneity variation and shell orthotropy is investigated for different typemodes of vibration.

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Thermal buckling of FGM shells resting on a two-parameter elastic foundation

Cited by 73 publications

References 35 publications

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

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

Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

New approach for the vibrations of inhomogeneous orthotropic cylindrical shells resting on step-wise Winkler foundations

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