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Journal: Academic Journal "Industrial Machine Building, Civil Engineering" (Vol.3, No. 45)

Publication Date:

Authors : ;

Page : 184-192

Keywords : mathematical model; soil basis; strained-deformed state; vertical and horizontal displacements; filtration flow; numerical modeling; conformed reflection.;

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Mathematical models of filtration and strained-deformed state of soil from the forecast of deformations of water saturated basis under the action of hydrodynamical powers of filtration water flow. Taking into account the fact that there are relatively small zones of limit strained state in comparison with the whole strained sphere in the conditions of existence of bridge bearings in soil, it is admissible to use the theory of elasticity for determination of deformations from hydrodynamical powers of filtration water flow. Furthermore, under the determination of strained-deformed state of soil massifs under the action of internal volume powers, it is considered that soil is not in the state of limit balance before application of additional load to it, because in the contrary case application of load causes disturbance of solidity. Because of it it is quite appropriate to use decisions of theory of linear deformed environment for the determination of tensions under the action of action of internal volume powers. Numerical methods of conformed reflections of problems solutions with the complex limits in the area of filtration have been developed. The algorithm of hydrodynamical net structure has been elaborated. The transformation of differential equations of filtration and strained-deformed state of soil environment in displacements and limit conditions and their limit conditions by the method of numerical conformed reflections has been fulfilled. The numerical solutions of these equations have been obtained. The numerical solutions of appropriate limit problems and strained-deformed state for these mathematical models have been obtained by the way of construction of parametric rectangle in the plane of diversity scheme with the usage of pattern of kind «cross» and its solution of itinerary method of consecutive upper relaxation on the net. The program complex for PC has been created on the basis of offered mathematical models of filtrations and strained-deformed state of soil and their numerical solutions, which allows to forecast deformations of water saturated soil bases under the action of hydrological conditions. The results in the form of graphics in the window have been represented. There is the possibility to save numerical results in the text file. During the fulfilling of a program one can look through the graphics in any time moment. Numerical experiments in the investigation of vertical and horizontal displacements of soil basis of bridge bearing have been carried out. It has been determined that under the availability of bridge bearings on deep-water rivers, we can get the biggest results of vertical displacements of soil basis in the limit points of the upper border of filtration area, horizontal – in the typical points, which are located on vertical lines, going through the edges of the foundation of bridge bearing.

Last modified: 2016-07-25 20:31:15