scholarly journals Formulation of the problem of finite deformations of a semi-toroidal shell under the internal pressure

2020 ◽  
pp. 155-163
Author(s):  
Виктор Вячеславович Козлов ◽  
Алексей Александрович Маркин ◽  
Вера Евгеньевна Петрова
Keyword(s):  
Internal Pressure ◽  
Strain State ◽  
Incompressible Material ◽  
Toroidal Shell ◽  
Nonlinear Ordinary Differential Equations ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Nonlinear Elastic ◽  
Small Deformations

Рассматривается нелинейно-упругая осесимметричная модель полутороидальной оболочки, закрепленной по основаниям, под действием внутреннего давления. Предложен подход к формулировке мер, определяющих напряженно-деформированное состояния оболочки. Для несжимаемого материала получена замкнутая система нелинейных обыкновенных дифференциальных уравнений относительно неизвестных функций. С помощью метода конечных элементов дана оценка напряженно-деформированного состояния оболочки в случае малых деформаций. A nonlinear elastic axisymmetric model of a semi-toroidal shell fixed at the bases under the internal pressure is considered. An approach to the formulation of measures that determine the stress-strain state of the shell is proposed. For an incompressible material, a closed system of nonlinear ordinary differential equations for unknown functions is obtained. The finite element method is used to estimate the stress-strain state of the shell in the case of small deformations.

scholarly journals To the calculation of the toroidal shell with a local deepening on the external and on the inner surface

2021 ◽  
Vol 274 ◽  
pp. 03032
Author(s):  
Nukh Yakupov ◽  
Khakim Kiyamov ◽  
Inzilija Mukhamedova
Keyword(s):  
Numerical Experiments ◽  
Strain State ◽  
Three Dimensional ◽  
Toroidal Shell ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Inner Surface ◽  
Thin Walled ◽  
Toroidal Shells

Thin-walled toroidal shells are widely used in the construction During operation, various defects appear on the surface of the shells, in particular, local depressions on the outer and inner surfaces, causing stress concentration in the structure. A three-dimensional spline option of the finite element method was developed to determine the stress-strain state of a toroidal shell with a local deepening on the outer and inner surface. The numerical experiments were carried out. The regularities of the changes in a stress-strain state of the shell with the change in the geometric parameters of the deepening were noted.

scholarly journals PECULIARITIES OF MODELING OF STRESS-STRAIN STATE OF PIPELINES THROUGH WHICH GAS-LIQUID MIXTURES WITH AGGRESSIVE COMPONENTS ARE TRANSPORTED

2019 ◽  
pp. 128-135
Author(s):  
A. P. Oliinyk ◽  
B. S. Nezamay ◽  
L. I. Feshanych
Keyword(s):  
Internal Pressure ◽  
Cross Sections ◽  
Strain State ◽  
Smoothing Splines ◽  
Liquid Mixtures ◽  
Equilibrium Equations ◽  
Stress Strain ◽  
Stress Strain State ◽  
Current State ◽  
The Given

The task of estimating the stress-strain state of pipelines through which gas-liquid mixtures with aggressive components are transported is considered, the purpose, object and object of research are established. The analysis of the current state of scientific and technical researches on the given subject is carried out, the circle of unresolved problems is revealed. The combined effect on the pipelines through which gas-liquid mixtures with aggressive components are transported stress – strained state change  is estimated by two models - the model for determining the change of the stress-strain state of the pipeline by data on the surface points certain set displacement   taking into account the quasi-stationarity of the process. The device uses interpolation smoothing splines and methods of differential geometry, 6 components of strain and stress tensors are determined. In order to substantiate the method of estimation of annular stresses at the wear of the pipeline walls due to the action of the aggressive components of the transported mixtures, systems of equilibrium equations for pipeline sections and for quasi-rectilinear sections with altered cross-section configuration have been derived. Boundaryt conditions for equilibrium equations are established. Calculation formulas for estimation of annular stresses arising under the action of internal pressure for sections with shape defects caused by the action of aggressive components are established. The results of calculations that allow to quantify the change of the most significant ring stresses arising in the pipeline material under the action of internal pressure in the pipeline cross sections, which were exposed to the aggressive components, are presented. It is assumed that the deformed sections are little different from the shape of the circle.

scholarly journals Choice of technologies of ensuring exploitation suitability of buildings in the underground construction area

Vestnik MGSU ◽  
2020 ◽  
pp. 452-461
Author(s):  
Emil Imran Оglu Alirzaev ◽  
Marina E. Dement'eva
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Strain State ◽  
The Finite Element Method ◽  
Underground Construction ◽  
Underground Structures ◽  
Stress Strain ◽  
Computer Complex ◽  
Stress Strain State ◽  
Element Method

Introduction. One of the serious problems in the construction of underground structures in a dense urban area is the occurrence of excess deformations of the foundations of operating buildings that fall into the zone of influence of underground construction. The subject of the study was the calculated justification of the modern technology of compensatory injection. The relevance of the task is determined by the fact that the choice of the most effective protection technology should be based not only on a comparison of technological precipitation with maximum permissible values, but also on the assessment of the possibility of monitoring and controlling the movements of the foundations of buildings and structures during construction and subsequent operation. The purpose of the study was to compare various methods of protecting the foundations of existing buildings and structures and justify the selection of the most effective of them for further implementation and dissemination in the design and construction of urban underground structures. Materials and methods. On the basis of the survey data of the operated building falling into the impact zone of excavation of the pit for the construction of the installation and shield chamber of the subway, the parameters of the stress-strain state of its foundations are studied by mathematical modeling. The problem was solved by the finite element method based on the software and computer complex Z_Soil v.18.24. Results. Based on the analysis of the results of the examination of the administrative building using the finite element method, a change in the parameters of the stress-strain state of the foundations was modeled with various technologies for strengthening it. In the course of solving the geotechnical problem, it was found that the minimum impact on the foundations of the building during the construction of the pit was obtained in the method of compensatory injection. The system of criteria for making a decision on choosing an effective way to ensure the suitability of buildings in the underground construction zone for operation is substantiated. Conclusions. The results of this work can be used to justify the choice of technology for prevention and control of excess deformations of foundations. The function for calculating the volume of injected material in the Z_Soil software and computer complex can be used to justify the consumption of materials and the economic efficiency of the technological solution.

Investigation of the stress-strain state of turbine rotors by the finite-element method

1982 ◽  
Vol 14 (8) ◽  
pp. 1119-1123 ◽  
Author(s):  
P. P. Gontarovskii ◽  
L. I. Gontarovskaya ◽  
G. A. Marchenko ◽  
Yu. I. Matyukhin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Strain State ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Turbine Rotors ◽  
Element Method

scholarly journals Analysis of the Dynamic Behavior and Stress-Strain State of NPP Containment under Nonstationary Impacts

2016 ◽  
pp. 38-47
Author(s):  
P. Lugovyy ◽  
V. Kryts’kyi ◽  
N. Kryts’ka
Keyword(s):  
Dynamic Behavior ◽  
Strain State ◽  
Radiation Safety ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Liner Material ◽  
Safety Requirements ◽  
Stress Strain State ◽  
Steel Liner ◽  
Seismic Impact

The paper presents the analysis of dynamic behavior of the reinforced concrete containment of NPP unit under the combined effect of internal pressure shock caused by the accident in the reactor hall and seismic impact of design-basis earthquake using the finite element method (FEM) and DIPROS software. Using the modal analysis and numerical solution of the FEM equations of containment concrete, the stress-strain state of the building structure in the post-accident period was defined. It is shown that the maximum intensity of the stresses in the steel liner of the containment does not exceed the yield strength of the steel liner material. Accordingly, the liner integrity is preserved, the containment remains operable and ensures compliance of radiation safety requirements.

scholarly journals The research of the stress-strain state with local thinning in pipelines and determination of allowable values of concentration stress and strain

2019 ◽  
Vol 15 (5) ◽  
pp. 384-391
Author(s):  
Dmitry A. Kuzmin ◽  
Anastasia V. Andreenkova
Keyword(s):  
Stress Concentration ◽  
Internal Pressure ◽  
Wall Thickness ◽  
Strain State ◽  
Stress Strain ◽  
Flow Acceleration ◽  
Stress Strain State ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Equipment And Pipelines

Relevance. The nuclear power plant contains a large number of equipment and pipelines subject to flow acceleration corrosion. As a result of a combination of various parameters - sizes (diameters, wall thickness), operational parameters (internal pressure, temperature), steels and elements types - the number of design cases is tens of thousands, without counting the possible forms of thinning. The process of maintenance and repair at the stations are doing an assessment of the accordance of actual and allowable values of wall thicknesses. The ensuring safe operations of equipment and pipelines have been introduced correction functions for regulatory functions, taking into account the forms of thinning, to determine the permissible thinning. The aim of the work. The task is to determine the influence of the forms and types of thinning on the stress-strain state and to determine the most critical thinning for straight sections of pipelines subject to flow acceleration corrosion taking into account emergency conditions. Methods. The allowable values of stress concentration factors (deformations) of pipelines subject without flow acceleration corrosion was determined taking into account allowable values, the requirements of the federal norms and rules for emergency operating conditions. For researches of the stress concentration coefficients were used the finite element method and analytical methods for various shapes, sizes and depths of thinning. Results. A method has been developed, that allows getting the maximum allowable values of stress concentration factors (deformations) for emergency operation, which afford to determine the maximum allowable depth of thinning in emergency conditions - an above criterion. The researches have been carried out definition of the stress concentration factors for local thinning with various types of these thinning. The functions of concentration coefficients depending on the geometric parameters of local thinning wall thickness were determined for a straight section of the pipeline. As a result of the research, the dependences of the sizes of thinning on the concentration coefficients for straight pipelines were created and a master-curve was obtained. The researches were carried out take into account the load from internal pressure and bending moment.

scholarly journals Analysis of stress-strain state of the naturally twisted rod bending by transverse force on the basis of the finite element method

2013 ◽  
Author(s):  
Н.В. Курбатова ◽  
Ю.А. Устинов ◽  
Е.С. Чумакова
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Strain State ◽  
Transverse Force ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Element Method

На основе метода однородных решений и численным интегрированием методом конечных элементов двумерных краевых задач, с помощью которых описываются решения задач Сен-Венана о чистом изгибе и изгибе поперечной силой естественно закрученного стержня, строится решение и на его основе проводится анализ напряженно-деформированного состояния стержня прямоугольного поперечного сечения для произвольных значений относительного угла закручивания τ0.

scholarly journals Modeling and assessment of the stress-strain state of above-ground pipelines at different types of compensation sections

2021 ◽  
Vol 266 ◽  
pp. 01022
Author(s):  
Z.A. Besheryan ◽  
I.F. Kantemirov
Keyword(s):  
Strain State ◽  
Complex Stress ◽  
Operating Conditions ◽  
The Arctic ◽  
Design Parameters ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Actual Operating ◽  
Different Types

The development of Russian fuel and energy complex in the short term is connected with the development of new hydrocarbon field in the permafrost zone and the need to build Arctic pipelines north of the 60th parallel. The ground-based structural scheme of pipeline laying is the most optimal while constructing trunk pipelines in permafrost areas in the Arctic and subarctic latitudes. The actual operating conditions of these systems are insufficiently studied. The above-ground pipeline in permafrost is in an complex stress-strain state. This study presents the results of the assessment of the stress-strain state of linearly extended above-ground pipelines at different compensation sections (triangular compensator; trapezoidal compensator; U-shaped compensator) under actual operating conditions. Using the finite element method on mathematical models, the dependences of the transverse displacements of the pipeline on movable supports and stresses arising in dangerous sections of the typical pipeline section during self-compensation of deformations on the variable design parameters of the system for various load combinations were established (the simulation was carried out in the ANSYS software package).

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