scholarly journals Mechanics of Contact Mode Drilling Balls with a Primary Basis According to Numerical Method of Boundary Elements

2020 ◽  
Vol 148 (1) ◽  
pp. 7-12
Author(s):  
А. S. Мorgun ◽  
◽  
І. М. Меt ◽  
V. О. Zadorozhniuk ◽  
◽  
...  
2018 ◽  
Vol 7 (2.23) ◽  
pp. 238 ◽  
Author(s):  
Mykola Surianinov ◽  
Oleksii Shyliaiev

The approach to calculation of plate-beam systems by numerical and analytical method of boundary elements is proposed. The method consists in construction in analytical way a fundamental system of solutions, the Green’s function and external load vector for the problem under consideration. Small system of linear algebraic equations to be solved numerically is constructed to take into account the boundary conditions or contact conditions between separate modules.The series of plate-beam system calculations by methods of boundary elements and finite elements at different geometric parameters of plate was performed to assess the limits of applicability of developed theory. The comparison of 45 variants calculations by both methods is shown.  


2020 ◽  
Vol 211 ◽  
pp. 02021
Author(s):  
Mykola Surianinov ◽  
Yurii Krutii ◽  
Anatolii Kovrov ◽  
Vladimir Osadchiy

An approach to solving the biharmonic equation of the plane problem of the theory of elasticity by the numerical-analytical method of boundary elements is developed. The reduction of the two-dimensional problem to the one-dimensional one was carried out by the KantorovichVlasov method. Systems of fundamental orthonormal functions and the Green function are constructed without any restrictions on the nature of the boundary conditions. A numerical example of solving a plane problem by the boundary element method for a rectangular plate is considered. The results are compared with the data of finite element analysis in the ANSYS program and those obtained by A.V. Aleksandrov.


2021 ◽  
Vol 258 ◽  
pp. 04009
Author(s):  
Tamara Makeeva ◽  
Vitaly Trofimov

Authors of the research consider the approach to the assessment of possibility of formation of stratification and shift cracks in the roof of extended horizontal cavity, based on the method of boundary elements. The algorithm implements the iterative procedure of variation of the formed crack length with control of tension in its tip. At the same time, the angle of the crack coasts closing is defined by the tensile strength of the layer material. The crack with smooth closing of coasts is formed in case of equality to zero this durability. The mechanism of failure forming over the developed space with vertical pipe type walls is considered. The results received by the authors, can be useful as the offered approach allows to model the destructions localization in the massif of rocks, location and sizes of the arising cracks of stretching and shift if there are strength defects in the massif


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