Numerical method of studying the stress-strain state of flexible composite shells of revolution weakened by notches of different shapes

1986 ◽  
Vol 21 (6) ◽  
pp. 704-708 ◽  
Author(s):  
I. N. Preobrazhenskii ◽  
Yu. L. Golda ◽  
V. G. Dmitriev
Keyword(s):  
Numerical Method ◽  
Strain State ◽  
Composite Shells ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Stress Strain State ◽  
Different Shapes

scholarly journals THE WAVE PROCESSES IN THREE-LAYER SHELLS OF ROTATIONWITH TAKING INTO ACCOUNT THE DISCRETE FILLER AT NON-STATIONARY LOADS

2020 ◽  
Author(s):  
Vladimyr Meish ◽  
◽  
Yuliia Meish ◽  
Keyword(s):  
Numerical Method ◽  
Strain State ◽  
Shell Structures ◽  
Sharp Change ◽  
Space Technology ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Shell Elements ◽  
Stress Strain State ◽  
Explicit Finite Difference

Thin-walled shell structures in the form of plates and shells of various shapes have a high bearing capacity, lightness, and relative ease of manufacture. Three-layer shell elements, which consist of two bearing layers and a filler, which ensures their joint work, are widely used in mechanical engineering, industrial and civil construction, aviation and space technology, shipbuilding. When calculating the strength of three-layer shell structures with a discrete filler under dynamic loads, it becomes necessary to determine the stress-strain state both in the area of a sharp change in the geometry of the structure and at a considerable distance from the heterogeneity. The complexity of the processes that arise in this case necessitates the use of modern numerical methods for solving dynamic problems of the behavior of three-layer shell elements with a discrete filler. In this regard, the determination of the stress-strain state of three-layer shells with a discrete filler under non-stationary loads and the development of an effective numerical method for solving problems of this class is an urgent problem in the mechanics of a deformable solid. On the basis of the theory of threelayered shells with applying the hypotheses for each layer the nonstationary vibrations threelayered shells of revolution with allowance of discrete fillers are investigated. Hamilton-Ostrogradskyy variational principle for dynamical processes is used for deduction of the motion equations. An efficient numerical method for solution of problems on nonstationary behaviour of threelayers shells of revolution with allowance of discrete fillers are used. The wide diapason of geometrical, and physico-mechanical parameters of nonhomohenes threelayered structure are considerated. On the basis of the offered model nonstationary problems of the forced nonlinear vibrations of threelayered shells of revolution of various structure are solved and analysed. The basis of the developed numerical method for the study of nonstationary oscillations is the application of explicit finite-difference schemes to solve the initial differential equations in partial derivatives. The theory is based on the relations of the theory of three-layer shells of revolution taking into account the discreteness of the filler, which are based on the hypotheses of the geometrically nonlinear theory of shells and rods of the Timoshenko type.

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

Numerical-theoretical study of stress-strain state of rotational composite shells at dynamic loading with regard to large deformations

1998 ◽  
Vol 34 (1) ◽  
pp. 20-27 ◽  
Author(s):  
A. I. Abakumov ◽  
P. N. Nizovtsev ◽  
V. P. Solov'ev ◽  
M. A. Syrunin ◽  
A. G. Fedorenko
Keyword(s):  
Dynamic Loading ◽  
Strain State ◽  
Large Deformations ◽  
Theoretical Study ◽  
Composite Shells ◽  
Stress Strain ◽  
Stress Strain State

Influence of Orthotropy on the Stress–Strain State of Quadrangular Plates of Different Shapes

2019 ◽  
Vol 55 (2) ◽  
pp. 199-210 ◽  
Author(s):  
A. Ya. Grigorenko ◽  
S. A. Pankrat’ev ◽  
S. N. Yaremchenko
Keyword(s):  
Strain State ◽  
Stress Strain ◽  
Stress Strain State ◽  
Different Shapes

Stress-strain state of three-layer thick-walled shells of revolution with nonideal contact between the layers

1990 ◽  
Vol 26 (4) ◽  
pp. 332-336
Author(s):  
Yu. N. Nemish ◽  
I. S. Sagalyuk ◽  
D. I. Chernopiskii
Keyword(s):  
Strain State ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Stress Strain State ◽  
Nonideal Contact

scholarly journals ON ONE NUMERICAL METHOD FOR THE COMPUTING OF SEDIMENTATION OF THE SURFACE OF THE SOIL MASSIVE CAUSED BY THE CONSTRUCTION OF THE SHELL LINING OF THE TUNNEL

2018 ◽  
Vol 14 (1) ◽  
pp. 78-91
Author(s):  
Sergey B. Kosytsyn ◽  
Vladimir Y. Akulich
Keyword(s):  
Analytical Solution ◽  
Numerical Method ◽  
Strain State ◽  
Soil Mass ◽  
Stress Strain ◽  
Stress Strain State ◽  
The Earth ◽  
Surrounding Soil

The distinctive work is aimed at the geotechnical forecast of the influence of the construction of the tunnel on the change in the stress-strain state of the surrounding soil mass, namely, the precipitations that arise on the surface of the earth. The work assumes both a numerical and an analytical solution with subsequent com-parative analysis

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.

scholarly journals Nonlinear deformation of circular discrete ribbed plate under influence of pulse loading

2021 ◽  
Vol 264 ◽  
pp. 02018
Author(s):  
Rustam Khalmuradov ◽  
Utkir Nishonov
Keyword(s):  
Numerical Method ◽  
Geometric Nonlinearity ◽  
Nonlinear Deformation ◽  
Strain State ◽  
Circular Disc ◽  
Pulse Loading ◽  
Stress Strain ◽  
Pulsed Loading ◽  
Stress Strain State ◽  
Unit Function

The stress-strain state of a circular disc, discretely finned in a circle, under the influence of the pulse loading, is numerically investigated. Thus the geometric nonlinearity between displacement and deformation is taken into account. The structure consists of boarding and reinforced ribs, the materials of which are the same and obey Hooke's law. The sections of the ribs are constant. The height of the ribs and their locations are specified using a unit function. It is considered that the plate is deformed under the influence of the pulsed loading. A numerical method is used to solve the problem.

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