scholarly journals MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION

2019 ◽  
Vol 15 (2) ◽  
pp. 144-158
Author(s):  
Vladimir Travush ◽  
Vladimir Gordom ◽  
Vitaly Kolchunov ◽  
Yevgeny Leontiev
Keyword(s):  
Elastic Foundation ◽  
Strain State ◽  
Mathematic Model ◽  
Middle Part ◽  
Stress Strain ◽  
Dimensional Parameter ◽  
Stress Strain State ◽  
Beam Foundation ◽  
Foundation Structure ◽  
Foundation Failure

The paper presents the methodic for analytical determining of stress-strain state of a beam partially supported on elastic foundation at sudden damage of foundation structure (partial failure). Bending equation for a beam is written using dimensional parameter and solved with the initial parameters method. Such approach al­lows to obtain dimensional analytical solution to static and dynamic problems for universal boundary conditions of a beam since it always leads to equations’ system of second order. Using numerical analysis for various values of generalized stiffness parameter of a system “beam - foundation”, we established affecting of the length of failure foundation part to stress-strain state of the beam for two supporting variants: partial supporting and sup­porting by two ends with foundation failure in the middle part of the beam.

scholarly journals Dynamics of Welded Rails Gap and Hardness of Rail Base

2020 ◽  
Vol 25 (1) ◽  
pp. 236-242
Author(s):  
T.I. Zaitseva ◽  
I.V. Blinova ◽  
A.M. Uzdin
Keyword(s):  
Elastic Foundation ◽  
Traffic Safety ◽  
Thermal Deformation ◽  
Strain State ◽  
Dynamic Factor ◽  
Stress Strain ◽  
Stress Strain State ◽  
Continuous Welded Rail ◽  
Negative Effect ◽  
Rigid Insert

AbstractThe problem of gap estimation for a break of a continuous welded rail is studied. The track is represented as a semi-infinite rod on elastic-based damping. Static and dynamic solutions are obtained. It is shown that during the rail break, the dynamic factor does not exceed 1.5. We derive equations for thermal deformation of the welded rail of jointless track on an elastic foundation in the presence of the insert into the base with another characteristic stiffness. It is shown that the presence of the insertion of up to 20% of the length of the rail, with both large and small stiffness, has a little effect on the stress-strain state (SSS) of the track. The presence of a rigid insert may increase the clearance of an accidental break of the rail, which has a negative effect on traffic safety.

scholarly journals Modeling of the stress-strain state of layered orthotropic plates on elastic foundation

2014 ◽  
Vol 5 (7(71)) ◽  
pp. 4
Author(s):  
Сергій Вікторович Угрімов ◽  
Юрій Михайлович Toрмосов ◽  
Віктор Анатолійович Куценко ◽  
Ігор Володимирович Лебединець
Keyword(s):  
Elastic Foundation ◽  
Strain State ◽  
Orthotropic Plates ◽  
Stress Strain ◽  
Stress Strain State ◽  
Plates On Elastic Foundation

The Boundary Condition Influence on a Stress-Strain State of a Corrugated Plate on an Elastic Foundation

2018 ◽  
Vol 931 ◽  
pp. 60-65 ◽  
Author(s):  
Aleksey N. Beskopylny ◽  
Elena E. Kadomtseva ◽  
Grigory P. Strelnikov
Keyword(s):  
Boundary Condition ◽  
Elastic Foundation ◽  
Strain State ◽  
Polymer Coatings ◽  
Stress Strain ◽  
Stress Strain State ◽  
Different Types ◽  
Deformed State ◽  
Decorative Material ◽  
Construction Practice

In this paper, we consider the influence of the conditions for fixing a wavy plate lying on an elastic foundation on its stressed-deformed state. The profiled plates are widely used in construction practice as fencing structures, for siding works, for roofing and others. The stress-strain state of the wavy plates varies depending on geometry, materials mechanical properties, foundation characteristics and boundary condition. Steel with polymer coatings, which make the sheets a decorative material, is increasingly used in individual and low-rise buildings. The elastic foundation is considered as Winkler base, so we suppose that the reaction of the base is directly proportional to the deflection of the plate at each point. The Bubnov-Galerkin method is used to determine the stress-strain state of the plate. To solve the problem, we use special orthogonal Legendre polynomials satisfying the boundary conditions: simply supported and clamped edges. The results of the calculations were compared for different types of fixation.

scholarly journals Simulation of the stress-strain state of a tubular billet during the expansion of its middle part using rigid die

2021 ◽  
pp. 105-110
Author(s):  
Д.А. Потянихин ◽  
А.А. Синельщиков ◽  
Ко.Х. Мин
Keyword(s):  
Finite Element ◽  
Titanium Alloy ◽  
Strain State ◽  
Middle Part ◽  
Cold Plastic Deformation ◽  
Stress Strain ◽  
Finite Element Software ◽  
Stress Strain State ◽  
Tubular Blank ◽  
Rigid Die

В работе представлены результаты моделирования в конечно-элементном программном комплексе ANSYS напряженно-деформированного состояния тонкостенной трубчатой заготовки из титанового сплава ОТ4 в процессе раздачи эластичной средой по жесткой матрице. Рассматривается осесимметричная матрица в виде тела вращения с криволинейной образующей. Задача решается в осесимметричной квазистационарной постановке. Конечно-элементная модель включает пуансон, матрицу, трубчатую заготовку, и эластичное рабочее тело. Пуансон перемещается в вертикальном направлении вниз, передавая усилие на деформируемую деталь через рабочее тело. Фрикционное взаимодействие происходит по закону Кулона. Проведен анализ напряженно-деформированного состояния детали в процессе формообразования. Исследовано распределение остаточных напряжений, упругое пружинение после снятия нагрузки и утонение стенок детали. Показана возможность получения детали типа «переходник» из титанового сплава ОТ4 холодным пластическим деформированием без нагрева заготовки. In this paper, the results of simulation of the stress-strain state of a thin-walled tubular blank made from titanium alloy OT4 in the ANSYS finite element software package in the process of expansion by an elastic medium in the rigid die are presented. The axisymmetric die in the form of a body of revolution with a curvilinear generatrix is considered. The problem is solved in an axisymmetric quasi-stationary setting. The finite element model includes a punch, a die, a tubular blank, and an elastic working body. The punch moves vertically downward, transmitting the force to the deformed tube through the working body. Frictional interaction occurs according to the Coulomb's law. The analysis of the stress-strain state of the deformed detail in the process of shaping is carried out. Distribution of residual stresses, elastic spring back after removal of the load and wall thinning of the detail are investigated. The possibility of obtaining the "adapter" type detail from titanium alloy OT4 by cold plastic deformation without heating the blank is shown.

scholarly journals DETERMINATION OF STRAIN-STRESS PARAMETERS OF A MULTI-STOREY REINFORCED CONCRETE BUILDING ON AN ELASTIC FOUNDATION WITH ALLOWANCE FOR DIFFERENT RESISTANTANCE OF MATERIALS AND CRACKING

2019 ◽  
Vol 15 (4) ◽  
pp. 150-163
Author(s):  
Alexander Treschev ◽  
Victor Telichko ◽  
Nikita Zolotov
Keyword(s):  
Reinforced Concrete ◽  
Elastic Foundation ◽  
Strain State ◽  
Element Model ◽  
Stress Strain ◽  
Stress Strain State ◽  
Concrete Building ◽  
Strain Stress ◽  
Storey Building

 In this paper, we consider the construction of a finite-element model for determining the stress-strain state of a multi-storey building made of monolithic reinforced concrete on an elastic foundation. This takes into account the dependence of the mechanical characteristics of concrete on the form of the stressed state, the devel­opment of plastic deformation in the reinforcement, cracking. Confirmed that the account of the complicated properties of the material is necessary for obtaining correct estimates of the stress-strain state of reinforced con­crete structures under conditions of progressive cracking.

scholarly journals Stress-strain state of reinforced bimodulus beam on an elastic foundation

2017 ◽  
Vol 90 ◽  
pp. 012064 ◽  
Author(s):  
A N Beskopylny ◽  
E E Kadomtseva ◽  
G P Strelnikov ◽  
Y A Berdnik
Keyword(s):  
Elastic Foundation ◽  
Strain State ◽  
Stress Strain ◽  
Stress Strain State

Universal method of track structure elements’ bearing capacity assessment on the basis of beam on elastic foundation simulation model

2017 ◽  
pp. 223-229
Author(s):  
Vadym Govorov ◽  
Naryman Sultanov ◽  
Maksim Chusovytyn
Keyword(s):  
Bearing Capacity ◽  
Elastic Foundation ◽  
Cross Section ◽  
Strain State ◽  
Track Structure ◽  
Variable Cross ◽  
Universal Method ◽  
Stress Strain ◽  
Beam On Elastic Foundation ◽  
Stress Strain State

Objective: To develop a universal method of track structure elements’ strength analysis, taking into account variable cross-section of elements and the form of foundation. To provide a graph-analytical model of analysis, as the basis of the method, for calculating stress-strain state characteristics of a beam on elastic foundation. Methods: Graph-analytical method was used to identify the characteristics of stress-strain state of a beam on elastic foundation. The method in question is an alternative one, compared to a routine theoretical calculation, the basis of which is a fundamental equation of a bending line and further from this equation, by means of successive integration method, any characteristic of stress-strain state of a beam on elastic foundation can be obtained. Results: A universal graph-analytical method was developed, taking into account factors, which cause deviation from a theoretical scheme of a beam bearing on elastic foundation, such as the possibility of calculating different elements of track structure bearing capacity, considering its variable cross-section (sole chairs, ferroconcrete sleepers, tongues, frogs, etc.), foundation form alternation, on which the calculated elements bear, as well as unequal elasticity of foundation. Practical importance: Application of such a universal method, which differs from an accepted idealized scheme of a beam bearing on elastic foundation, offers wide perspectives in stress-strain state assessment of not only new tracks, being designed, but also in the process of their current state. Application of the method in question makes it possible to avoid analytical lengthy mathematical calculations with any form of cross-section alternation along the length of a beam, with any form of foundation, as well as heavy expenditures, compared to other modern bearing capacity calculating methods, such as finite element method, finite difference method, and finite volume method.

scholarly journals TRANSVERSAL LOADED PILES DEFORMATION TASK DECISION METHOD

2018 ◽  
Vol 2 (49) ◽  
pp. 243-251
Author(s):  
S. V. Yesakova
Keyword(s):  
Strain State ◽  
Stiffness Parameter ◽  
Deformation Method ◽  
Laterally Loaded Piles ◽  
Stress Strain ◽  
Decision Method ◽  
Stiffness Coefficients ◽  
Stress Strain State ◽  
Laterally Loaded ◽  
Foundation Structure

The deformation method allows to describe the stress-strain state of foundation structures by means of dependency that binds settling of foundations to the parameters of stiffness in the system «base – piles foundation» at different stiffness coefficients of the basis, along length or depth of foundation. The proposed methodology allows improving the calculations of the stress-strain state of laterally loaded piles, which can significantly improve the performance of buildings and structures. Deformations of a foundation structure are described by approximate dependency that includes the sinking of ends of foundation and the stiffness parameter of the system "basis-foundation". The calculation embraces various (linear and nonlinear) distributions patterns of the of the stiffness coefficient of the basis along the length of the structure as well as distribution properties of the ground basis.

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