Stress-strain state of multilayer composite shells of revolution

1988 ◽  
Vol 20 (5) ◽  
pp. 658-661
Author(s):  
A. O. Rasskazov ◽  
V. I. Kosenko ◽  
V. M. Trach
Keyword(s):  
Strain State ◽  
Multilayer Composite ◽  
Composite Shells ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Stress Strain State

Analytical model of the stress–strain state of multilayer composite plates under the influence of different load types with asymmetrical boundary conditions

2016 ◽  
Vol 54 (12) ◽  
pp. 1535-1548
Author(s):  
Olga Bitkina ◽  
Jang-Ho Lee ◽  
Ki-Weon Kang ◽  
Elena Darlington
Keyword(s):  
Boundary Conditions ◽  
Analytical Model ◽  
Strain State ◽  
Linear Partial Differential Equation ◽  
Composite Plates ◽  
Generalized Function ◽  
Entire Body ◽  
Multilayer Composite ◽  
Stress Strain ◽  
Stress Strain State

Composite structure design experience has demonstrated that use of the finite element method during the first stage of the design process is unfounded and that analytical methods to determine the stress–strain state are needed for more accurate calculations. Therefore, an analytical model of the stress–strain state of multilayer composite plates under the influence of temperature, technological, and power loads with different boundary conditions around four boundaries of a rectangular plate was developed. This model enables the solution of more than 240 different boundary value problems with a combination of the following boundary conditions: fixed, moving, hinged, and free edge. In the derivation of this mathematical analytic model, the Kirchhoff hypothesis was applied to the entire body of the anisotropic medium for the interconnected deflection and bending in the plate plane. The resulting equation is an octic linear partial differential equation to express the generalized function of movements.

scholarly journals Stress-strain state of shell of revolution analysis by using various formulations of three-dimensional finite elements

2020 ◽  
Vol 16 (5) ◽  
pp. 361-379
Author(s):  
Natalia A. Gureeva ◽  
Yuriy V. Klochkov ◽  
Anatoly P. Nikolaev ◽  
Vladislav N. Yushkin
Keyword(s):  
Finite Element ◽  
Strain State ◽  
Hermite Polynomials ◽  
Mixed Formulation ◽  
Shell Of Revolution ◽  
Shells Of Revolution ◽  
Displacement Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Internal Forces

The aim of the work is to perform a comparative analysis of the results of analyzing arbitrarily loaded shells of revolution using finite element method in various formulations, namely, in the formulation of the displacement method and in the mixed formulation. Methods. To obtain the stiffness matrix of a finite element a functional based on the equality of the actual work of external and internal forces was applied. To obtain the deformation matrix in the mixed formulation the functional obtained from the previous one by replacing the actual work of internal forces in it with the difference of the total and additional work was used. Results. In the formulation of the displacement method for an eight-node hexahedral solid finite element, displacements and their first derivatives are taken as the nodal unknowns. Approximation of the displacements of the inner point of the finite element was carried out through the nodal unknowns on the basis of the Hermite polynomials of the third degree. For a finite element in the mixed formulation, displacements and stresses were taken as nodal unknowns. Approximation of the target finite element values through their nodal values in the mixed formulation was carried out on the basis of trilinear functions. It is shown on a test example that a finite element in the mixed formulation improves the accuracy of the strength parameters of the shell of revolution stress-strain state.

Block finite-element model of layer-by-layer analysis of three-layer stress–strain state in general irregular shells of rotation of double curvature

2019 ◽  
Vol 484 (1) ◽  
pp. 35-40
Author(s):  
V. N. Bakulin
Keyword(s):  
Finite Element ◽  
Strain State ◽  
Element Model ◽  
Core Material ◽  
Layer By Layer ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Stress Strain State ◽  
Double Curvature ◽  
Layer Analysis

This study proposes a finite-element block approach to building a new, refined model for layer-by-layer analysis of the stress–strain state of generally irregular sandwich shells of revolution with double curvature. A core material model is developed for the first time for such shells, based on more precise statements compared to those of similar common models; it allows the avoidance of the discontinuity of generalized displacements on the surfaces of an interface with base layers and switching to simpler models depending on the problem statement. Using the proposed model, it is possible to create an allowance for the changes in the properties and parameters of the stress–strain state in all the three coordinates, to which the shell is assigned, and to obtain a solution within the specified statement for different shell shapes and boundary conditions of layers, including in the case of discontinuity.

Static, vibration, and buckling analyses and applications to one-sheet hyperboloidal shells of revolution

2002 ◽  
Vol 55 (3) ◽  
pp. 241-270 ◽  
Author(s):  
SN Krivoshapko
Keyword(s):  
Transmission Lines ◽  
Strain State ◽  
Power Transmission ◽  
Review Article ◽  
Experimental Investigations ◽  
Power Transmission Lines ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Arch Dams ◽  
Stress Strain State

The principal achievements of science and engineering in the sphere of design, construction, and static, vibrational, and buckling analysis of thin-walled constructions and buildings in the shape of hyperbolic surfaces of revolution are summarized in this review article. These shells are useful as hyperbolic cooling towers, TV towers, reinforced concrete water tanks, and arch dams. They are also used as supports for electric power transmission lines and as high chimneys. Several public and industrial buildings having the hyperbolic form are described in the review. The basic results of theoretical and experimental investigations of stress-strain state, buckling, and vibration are summarized. The influence of temperature and moisture on the stress-strain state of the shells in question is also analyzed. This review article contains 261 references.

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