Large Deflections of Beams, Arches and Panels in an Elastic Medium with Regard to Deformation Shifts

Kayumov, R. A.; Tazyukov, B. F.; Shakirzyanov, Farid; Mukhamedova, I. Z.

doi:10.1134/s1995080219030119

Cited by 6 publications

(2 citation statements)

References 7 publications

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“…The theory of calculating the structures, lying on an elastic foundation, has been widely developed in the works [9][10][11][12][13][14][15][16][17][18][19][20], where the following models of the elastic foundation are used: a Winkler's model (otherwise called a model of the coefficient of subgrade reaction); a model of the elastic homogeneous isotropic half-space; a model of the elastic homogeneous isotropic layer; a model of the foundation with two elastic characteristics. In some works, other models are used too, which are mainly combinations of the above.…”

Section: Methodsmentioning

confidence: 99%

Evaluation of bearing capacity of a beam on an elastic foundation using the methods of the theory of limiting balance

2021

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The analytical expressions and graphs for determining a limiting load have been obtained using the methods of the theory of limiting balance. The processes of strain of the beams after formation of a plastic hinge until their complete destruction have been investigated. The dependences of a bearing capacity of the beam on its parameters and characteristics of the foundation soils have been obtained. The regularities of formation of plastic hinges have been revealed depending on a place of application of the load. The limiting values of the load have been calculated analytically, and the forms of deformation of the beam have been established at the time of the appearance of the first plastic strains and in the limiting state. The comparative analysis of the research results of the adopted model with the numerical studies of the elastoplastic beam has been carried out.

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Section: Methodsmentioning

confidence: 99%

Evaluation of bearing capacity of a beam on an elastic foundation using the methods of the theory of limiting balance

2021

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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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Studies of Structure and Impact Damage of Composite Materials by a Computer Tomograph

Bezzametnov

Mitryaykin

Statsenko

2020

Advances in Intelligent Systems and Computing

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Large Deflections of Beams, Arches and Panels in an Elastic Medium with Regard to Deformation Shifts

Cited by 6 publications

References 7 publications

Evaluation of bearing capacity of a beam on an elastic foundation using the methods of the theory of limiting balance

Evaluation of bearing capacity of a beam on an elastic foundation using the methods of the theory of limiting balance

Stress state of hinged supported thin-wall elastic structures

Studies of Structure and Impact Damage of Composite Materials by a Computer Tomograph

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