Nonlinear problems of stability cylindrical panels with imperfection

Kayumov, R. A.; Tazyukov, B. F.; Muhamedova, I Z

doi:10.1088/1757-899x/158/1/012051

Cited by 3 publications

(1 citation statement)

References 2 publications

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“…Currently, there are a large number of works devoted to the strength of thin-walled shell structures, taking into account the geometric and/or physical nonlinearity [1][2][3][4][5][6][7][8][9]. This is due to the widespread use of elastic thin-walled shell structures in aviation, space technology, shipbuilding, mechanical engineering and construction.…”

Section: Introductionmentioning

confidence: 99%

Stress state of hinged supported thin-wall elastic structures

Kharasova

Timergaliev

2021

E3S Web Conf.

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The paper studies the stress-strain state of flat elastic isotropic thin-walled shell structures in the framework of the S. P. Timoshenko shear model with pivotally supported edges. The stress-strain state of shell structures is described by a system of five second-order nonlinear partial differential equations under given static boundary conditions with respect to generalized displacements. The system of equations under study is linear in terms of tangential displacements, rotation angles, and nonlinear in terms of normal displacement. To find a solution to the system that satisfies the given static boundary conditions, integral representations for generalized displacements containing arbitrary holomorphic functions are used. Finding holomorphic functions is one of the main and difficult points in the proposed study. The integral representations constructed in this way allow us to reduce the original problem to a single nonlinear operator equation with respect to the deflection, the solvability of which is established using the principle of compressed maps.

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Section: Introductionmentioning

confidence: 99%

Stress state of hinged supported thin-wall elastic structures

Kharasova

Timergaliev

2021

E3S Web Conf.

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Strength and buckling analysis for cylindrical shell panels by various strength theories

Semenov

2024

J Braz. Soc. Mech. Sci. Eng.

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On the stress state of thin-walled isotropic building constructions of the shell type

Timergaliev

Uglov

2020

IOP Conf. Ser.: Mater. Sci. Eng.

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The stress-strain state of elastic inhomogeneous isotropic shallow thin-walled shell constructions is studied in the framework of S.P. Timoshenko shear model. The stress-strain state of shell constructions is described by a system of the five equilibrium equations and by the five static boundary conditions with respect to generalized displacements. Equilibrium equations are second-order partial differential equations that are linear with respect to tangential displacements, rotation angles, and non-linear with respect to normal displacement (deflection). The aim of the work is to find generalized displacements from a system of equilibrium equations that satisfy given static boundary conditions. The research is based on integral representations for generalized displacements containing arbitrary holomorphic functions. Holomorphic functions are found so that the generalized displacements should satisfy five static boundary conditions. The integral representations constructed in this way allow to obtain a nonlinear operator equation with respect to the deflection. The solvability of the nonlinear equation with respect to deflection is established with the use of contraction mappings principle.

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Nonlinear problems of stability cylindrical panels with imperfection

Cited by 3 publications

References 2 publications

Stress state of hinged supported thin-wall elastic structures

Stress state of hinged supported thin-wall elastic structures

Strength and buckling analysis for cylindrical shell panels by various strength theories

On the stress state of thin-walled isotropic building constructions of the shell type

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