Buckling of Conical Shells

Eslami, M. R.

doi:10.1007/978-3-319-62368-9_8

Cited by 4 publications

(5 citation statements)

References 40 publications

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“…The equilibrium path corresponding to limit point buckling drawn for the values of E 1 * , p = 2 and λ s = 5 . 01 are given in Figure 3, together with those of Eslami. 151 It is observed that the snap-buckling loads and the post-buckling behaviors obtained in this study and Eslami 151 are compatible with each other.…”

Section: Numerical Resultssupporting

confidence: 79%

“…Verification of the results obtained in this study with those of Eslami 151 for E 1 * , p = 2 and λ s = 5 . 01 .…”

Section: Numerical Resultssupporting

confidence: 68%

“…In order to validate the present numerical results, a comparison is made with the analytic results of Eslami 151 applicable to a thin, clamped FG circular shallow arch under a uniformly distributed radial load and which give similar results with the loading case treated in the present paper since the curvature of the arch is small. The equilibrium path corresponding to limit point buckling drawn for the values of E 1 * , p = 2 and λ s = 5 . 01 are given in Figure 3, together with those of Eslami.…”

Section: Numerical Resultsmentioning

confidence: 66%

See 2 more Smart Citations

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Atacan,

Yükseler

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Snap-through analysis of thin, functionally graded (FG), fixed, circular shallow arches subjected to uniformly distributed vertical load is examined in this paper. The modulus of elasticity varies gradually along with the normal to the axis of the arch in alliance with the power law form. The solution of the geometrically nonlinear problem is carried out by using a numerical scheme accounting for the moderately large deflections theory based on small strain and moderate rotation in the von Kármán sense. The combined effect of the parameters that is, the power law index, the ratio of the modulus of elasticity and the modified slenderness ratio on the support reactions, the snap-buckling and post-buckling behaviors of the fixed circular shallow arches are examined. It is found that the lowest buckling load is considerably affected by the variation of these parameters. In addition, the effects of the material distribution on internal forces, deformed configurations and rotation angle are presented at various stages of the deformation.

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Section: Numerical Resultssupporting

confidence: 79%

“…Verification of the results obtained in this study with those of Eslami 151 for E 1 * , p = 2 and λ s = 5 . 01 .…”

Section: Numerical Resultssupporting

confidence: 68%

Section: Numerical Resultsmentioning

confidence: 66%

See 1 more Smart Citation

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Atacan,

Yükseler

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Stability equations govern the onset of buckling of the plate. These equations may be obtained using the small perturbations or the adjacent equilibrium criterion [22,23]. A plate whose displacement field in prebuckling state are u 0 0 , v 0 0 , w 0 0 , φ 0 r , and φ 0 θ is considered.…”

Section: Stability Equationsmentioning

confidence: 99%

“…The incremental displacement which are shown by a superscript 1 are sufficiently small since only the buckling state in under investigation. Similar to displacements, the incremental stress resultants are also obtained [22,23]. The governing stability equations which govern the onset of buckling take the form…”

Section: Stability Equationsmentioning

confidence: 99%

Archive of Mechanical Engineering

Bagheri¹,

Kiani²,

Eslami³

2019

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Buckling of moderately thick annular plates subjected to torqueAn attempt is made in the current research to obtain the fundamental buckling torque and the associated buckled shape of an annular plate. The plate is subjected to a torque on its outer edge. An isotropic homogeneous plate is considered. The governing equations of the plate in polar coordinates are established with the aid of the Mindlin plate theory. Deformations and stresses of the plate prior to buckling are determined using the axisymmetric flatness conditions. Small perturbations are then applied to construct the linearised stability equations which govern the onset of buckling. To solve the highly coupled equations in terms of displacements and rotations, periodic auxiliary functions and the generalised differential quadrature method are applied. The coupled linear algebraic equations are a set of homogeneous equations dealing with the buckling state of the plate subjected to a unique torque. Benchmark results are given in tabular presentations for combinations of free, simply-supported, and clamped types of boundary conditions. It is shown that the critical buckling torque and its associated shape highly depend upon the combination of boundary conditions, radius ratio, and the thickness ratio.

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Effect of thermal environment on the free vibration of functionally graded carbon nanotubes cylindrical-conical shell

Babaei,

Jafari

2023

Journal of Thermal Stresses

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Buckling of Conical Shells

Cited by 4 publications

References 40 publications

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Archive of Mechanical Engineering

Effect of thermal environment on the free vibration of functionally graded carbon nanotubes cylindrical-conical shell

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