Mechanical buckling and free vibration of thick functionally graded plates resting on elastic foundation using the higher order B-spline finite strip method

Foroughi, Hamid; Azhari, Mojtaba

doi:10.1007/s11012-013-9844-2

Cited by 28 publications

(11 citation statements)

References 23 publications

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“…The Winkler and Pasternak models are widely used to describe the interactions of structural elements and elastic foundations. The Winkler model assumes that there is a proportional interaction in the radial direction between the pressure and deflection of the applied point in the foundation [1][2][3][4][5][6][7]. To take the transverse shear deformation of the foundation into account, the effect of shear interaction among the points in the foundation must be considered in the analysis.…”

Section: Introductionmentioning

confidence: 99%

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Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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The free vibration characteristics of fluid-filled functionally graded cylindrical shells buried partially in elastic foundations are investigated by an analytical method. The elastic foundation of partial axial and angular dimensions is represented by the Pasternak model. The motion of the shells is represented by the first-order shear deformation theory to account for rotary inertia and transverse shear strains. The functionally graded cylindrical shells are composed of stainless steel and silicon nitride. Material properties vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The governing equation is obtained using the Rayleigh-Ritz method and a variation approach. The fluid is described by the classical potential flow theory. Numerical examples are presented and compared with existing available results to validate the present method.

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Section: Introductionmentioning

confidence: 99%

“…Most studies have considered only the shells embedded fully in elastic foundations [5][6][7][8][9][10][11][12][13][14]. In practical applications, however, cylindrical shells are laid partially on elastic foundations.…”

Section: Introductionmentioning

confidence: 99%

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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“…Gulshan Taj et al [151] developed a nine-node C 0 continuous isoparametric element with seven DOFs per node for the bending analysis of FG plates under mechanical and thermal loadings using the TSDT. Foroughi and Azhari [152] used the TSDT and spline finite strip method to study the buckling and free vibration of FG plates resting on an elastic foundation. Tran et al [153] performed the static bending, buckling and free vibration analyses of FG plates using the TSDT and IGA.…”

Section: Tsdt Modelmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

393

103

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“…Stability of thin-walled members, such as composite plates, shells, and steel cross-sections, is a major concern in the design of lightweight structures [1][2][3][4]. For many years, optimal design considering buckling of members under compression was an interesting subject in structural engineering.…”

Section: Introductionmentioning

confidence: 99%

Size and Shape Optimization of Space Trusses Considering Geometrical Imperfection-Sensitivity in Buckling Constraints

Haghpanah

Foroughi

2018

CivileJournal

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Optimal design considering buckling of compressive members is an important subject in structural engineering. The strength of compressive members can be compensated by initial geometrical imperfection due to the manufacturing process; therefore, geometrical imperfection can affect the optimal design of structures. In this study, the metaheuristic teaching-learning-based-optimization (TLBO) algorithm is applied to study the geometrical imperfection-sensitivity of members' buckling in the optimal design of space trusses. Three benchmark trusses and a real-life bridge with continuous and discrete design variables are considered, and the results of optimization are compared for different degrees of imperfection, namely 0.001, 0.002, and 0.003. The design variables are the cross-sectional areas, and the objective is to minimize the total weight of the structures under the following constraints: tensile and compressive yielding stress, Euler buckling stress considering imperfection, nodal displacement, and available cross-sectional areas. The results reveal that higher geometrical imperfection degrees significantly change the critical buckling load of compressive members, and consequently, increase the weight of the optimal design. This increase varies from 0.4 to 119% for different degrees of imperfection in the studied trusses.

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Mechanical buckling and free vibration of thick functionally graded plates resting on elastic foundation using the higher order B-spline finite strip method

Cited by 28 publications

References 23 publications

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

A review of theories for the modeling and analysis of functionally graded plates and shells

Size and Shape Optimization of Space Trusses Considering Geometrical Imperfection-Sensitivity in Buckling Constraints

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