scholarly journals Finite difference method application in design of foundation girder of variable cross-section loaded on ends

2008 ◽  
Vol 6 (2) ◽  
pp. 179-185 ◽  
Author(s):  
Verka Prolovic ◽  
Zoran Bonic
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Cross Section ◽  
Difference Method ◽  
Variable Cross Section ◽  
Variable Cross ◽  
System Of Differential Equations ◽  
Elastic Line ◽  
The Finite Difference Method ◽  
Special Case

Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order. The most convenient solution of the problem is application of numerical procedures, in this case it is the finite difference method. In the paper, the mentioned method is applied in the special case of foundation girder of variable cross section loaded by arbitrary load on its ends.

scholarly journals CALCULATION OF CENTRALLY COMPRESSED CONCRETE FILLED STEEL TUBULAR COLUMNS OF ANNULAR SECTION TAKING INTO ACCOUNT PHYSICAL NONLINEARITY

2021 ◽  
Vol 9 (3) ◽  
pp. 6-10
Author(s):  
Kazbek Khashkhozhev ◽  
Arthur Avakov
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Cross Section ◽  
Difference Method ◽  
Deformation Theory ◽  
Physical Nonlinearity ◽  
Short Term ◽  
Tubular Columns ◽  
Annular Section ◽  
The Finite Difference Method

In the article, the resolving equations are obtained for the calculation taking into account the physical nonlinearity and creep of centrally compressed concrete filled steel tubular columns of annular cross-section. The examples of the calculation of the bearing capacity with a short-term load are given. The solution was carried out numerically in the Matlab environment using the finite difference method. The deformation theory of plasticity by G.A. Geniev was used.

scholarly journals Mathematical Model of the Processoof Pearlite Austenitization

2014 ◽  
Vol 59 (3) ◽  
pp. 981-986 ◽  
Author(s):  
I. Olejarczyk-Wożeńska ◽  
H. Adrian ◽  
B. Mrzygłód
Keyword(s):  
Mathematical Model ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Differential Equations ◽  
Difference Method ◽  
Diffusion Mechanism ◽  
System Of Differential Equations ◽  
Ttt Diagram ◽  
Austenite Transformation ◽  
The Finite Difference Method

Abstract The paper presents a mathematical model of the pearlite - austenite transformation. The description of this process uses the diffusion mechanism which takes place between the plates of ferrite and cementite (pearlite) as well as austenite. The process of austenite growth was described by means of a system of differential equations solved with the use of the finite difference method. The developed model was implemented in the environment of Delphi 4. The proprietary program allows for the calculation of the rate and time of the transformation at an assumed temperature as well as to determine the TTT diagram for the assigned temperature range.

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