Stability of Inhomogeneous Cylindrical Shells Under Distributed External Pressure in a Three-Dimensional Statement

Podvornyi, A. V.; Semenyuk, N. P.; Trach, V. M.

doi:10.1007/s10778-018-0845-7

Cited by 10 publications

(9 citation statements)

References 7 publications

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“…Implementation of the obtained one-dimensional problem on the stressstrain state of a thick-walled cylinder was carried out using the numerical method of discrete orthogonalization [3]. After solving the system (12) taking into account the boundary conditions (8), ratios (11) were used for the transition from the obtained functions to the components of the stress-strain state.…”

Section: Methodsmentioning

confidence: 99%

“…In this paper, the change of the characteristics of the stress-strain state in the thickness of the structure is modeled by hypotheses of varying degrees of accuracy. It is generally known that to calculate the stress-strain state of thick-walled cylindrical shells it should be applied an approach [2,6,7,10,11,13], based on the use of equations of the spatial theory of elasticity and which allows you to correctly analyze changes of parameters such as stress-strain state of the construction by the thickness.…”

Section: Introductionmentioning

confidence: 99%

“…It is also necessary to take into account the effect of anisotropy caused by the discrepancy between the directions of reinforcement and the shell axes ( Fig. 1) [1,2,3,6,7,10,11,13,14], and to assess the impact of temperature on such a combined structure thickness.…”

Section: Introductionmentioning

confidence: 99%

“…vector function. Non-zero elements of which are written in accordance with[6,11], , ( ) i n l t r -coefficients for unknown systems (7), i f -the components of the stress-strain state related to the temperature in the system(7) and are determined as:…”

mentioning

confidence: 99%

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Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material

Semenyuk

Trach²,

Podvornyi³

2020

OMTC

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In the article the stress-strain state of thick-walled structurally anisotropic composite cylindrical shells under thermal power load, which are protected by a functionally graded material, are analysed. Based on the interrelations of the spatial theory of elasticity, a system of inhomogeneous differential equations in three-dimensional formulation, which describes the stress-strain state of thick-walled anisotropic cylindrical shells, was obtained. To reduce the dimensionality of this system, the Bubnov-Galerkin analytical method was used. Thus, the obtained one-dimensional system of twelve equations of normal Cauchy form was implemented using the numerical method of discrete orthogonalization. To represent the possibilities of the proposed approach, there were used stress-strain states of two, four and five-layered anisotropic cylindrical shells of fibrous composites, protected from temperature by a layer of transversely isotropic functionally graded material.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material

Semenyuk

Trach²,

Podvornyi³

2020

OMTC

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“…Thin structures usually fail not for lack of material strength or delamination but through buckling load because the buckling load of thin structure lower than material failure load. The buckling load can be increased by careful design of the layup sequence of the composite layers; however, no available simple design equation or chart were found in spite of there being many studies on composite structures [3][4][5][6][7][8][9][10]. The buckling load under shear force has been studied; however, those studies were not for composite rectangular tubes, but rather for long anisotropic plates [11,12].…”

Section: Introductionmentioning

confidence: 99%

Buckling of Rectangular Composite Pipes under Torsion

2021

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The numerical buckling load of rectangular composite pipes under torsional load was derived by using the energy method. The authors found no available simple design method or chart for the buckling loads of rectangular composite pipes, which are often used airplanes, spacecraft, and other lightweight structures, through their involvement in a Mars exploration airplane project. Thus, numerical results were obtained for length-to-width ratios (l/b) from 1 to 20, width-to-height ratios (h/b) from 1 to 6, and [0/90] layer ratios (r) from 0 to 1, which means [(0/90)r,(±45)1-r]s. The layups were assumed to be symmetric, and tension-bending, torsion-bending, and tension-shear coupling stiffnesses were ignored. To establish a simple design method, a closed-form polynomial equation for the buckling load factor was derived by minimizing the weighted residuals of the safe and non-safe side errors, which were obtained by comparing the derived numerical results with the polynomial equations. As a result, the errors of the polynomial equation for the buckling load factor were 4.95% for the non-safe side and 12.4% for the safe side. The errors are sufficiently good for preliminary design use and for parametric design studies and optimization.

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Computer Programs Developing for Solving Problems of Cylindrical Shells Stability

Черемных

2021

Lecture Notes in Civil Engineering

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Stability of Inhomogeneous Cylindrical Shells Under Distributed External Pressure in a Three-Dimensional Statement

Cited by 10 publications

References 7 publications

Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material

Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material

Buckling of Rectangular Composite Pipes under Torsion

Computer Programs Developing for Solving Problems of Cylindrical Shells Stability

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