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G. A. Kolton
G. A. Kolton

Articles

Mining
  • Date submitted
    2014-07-15
  • Date accepted
    2014-09-01
  • Date published
    2014-12-22

Mathematical modeling of the impact of blast waves on underground pipelines

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Mathematical modeling of the impact of blast waves on the underground pipeline was composed from general equations of continuum mechanics, shell theory and hydraulics equations. The problem is formulated in the plane formulation for direct integration of the native system of equations chosen method of finite differences. At the contact of the array and the pipeline, boundary conditions of slippage and rigid clamping are considered.

How to cite: Gospodarikov A.P., Kolton G.A., Buldakov E.L. Mathematical modeling of the impact of blast waves on underground pipelines // Journal of Mining Institute. 2014. Vol. 210. p. 37.
Manufacturing machinery and equipment
  • Date submitted
    2013-09-29
  • Date accepted
    2013-11-22
  • Date published
    2014-03-01

Mathematical modeling of movement of the bottom device during its transporting by flexible traction element

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The interaction of the flexible traction element with bottom mining device by the solution of the set of equations, which allows to determine the nature of the movement and the force between them, and also described the situation flexible traction element as it moves in the water.

How to cite: Kolton G.A., Korolev I.A., Timofeev I.P. Mathematical modeling of movement of the bottom device during its transporting by flexible traction element // Journal of Mining Institute. 2014. Vol. 209. p. 55.
Humanities and fundamental researches
  • Date submitted
    2013-01-16
  • Date accepted
    2013-03-19
  • Date published
    2013-07-01

Visualization of the mathematic model of explosion, spreading in a rock mass with excavations and solid inclusions

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The mathematic model of explosion, spreading in a rock mass with excavations and solid inclusions was visualized. The program displays the input data with the ability to control the process of visualization.

How to cite: Vykhodtsev Y.N., Ivanchenko E.P., Kolton G.A. Visualization of the mathematic model of explosion, spreading in a rock mass with excavations and solid inclusions // Journal of Mining Institute. 2013. Vol. 206. p. 213.
Applied and fundamental research in physics and mathematics
  • Date submitted
    2009-09-06
  • Date accepted
    2009-11-14
  • Date published
    2010-03-01

The estimation of mass velocities in a layered roof and dividing pillars of the mining system in the time of influence of shock stress waves

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The mass velocity diagrams transformation in the layered border zone of the mining system in the time of tension explosion waves influence is considered. The explosion wave front is suggested to be parallel to the proximate handing roof environs discontinuity. Under the admitted assumption the mass velocity epures transformation is investigated in the layered roof stone of the mining system and in the dividing pillar.

How to cite: Karpenko V.V., Kolton G.A. The estimation of mass velocities in a layered roof and dividing pillars of the mining system in the time of influence of shock stress waves // Journal of Mining Institute. 2010. Vol. 187. p. 70-74.
Fundamental Sciences: applied and interdisciplinary research
  • Date submitted
    2004-10-24
  • Date accepted
    2004-11-07
  • Date published
    2005-05-01

Mathematical modeling of joint action of mining pressure and explosive stress waves on mine workings

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In this paper, the joint effect of static and dynamic stress fields on the excavations is considered, and tensile stress regions in the contour zones of the excavations are modeled.

How to cite: Karpenko V.V., Gospodarikov A.P., Kolton G.A. Mathematical modeling of joint action of mining pressure and explosive stress waves on mine workings // Journal of Mining Institute. 2005. Vol. 163. p. 175-178.
Modern problems of geomechanics and geotechnology
  • Date submitted
    2003-06-10
  • Date accepted
    2003-07-05
  • Date published
    2004-01-01

Mathematical modeling of the action of explosive stress waves on mine workings

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The joint impact of static and dynamic stress fields on the mine workings is considered, tensile stress zones are determined, and the process of brittle failure of rock in the contour areas of the mine workings is modeled. The study of such influences on the mine workings is based on the methodological principles of mathematical modeling of physical processes in complex systems formulated in the article [1].

How to cite: Karpenko V.V., Karpenko A.V., Kolton G.A. Mathematical modeling of the action of explosive stress waves on mine workings // Journal of Mining Institute. 2004. Vol. 156. p. 39-43.
Without section
  • Date submitted
    2000-07-19
  • Date accepted
    2000-08-24
  • Date published
    2001-02-01

Mathematical modeling of physical processes in some problems of geomechanics

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Finite-difference and numerically analytical methods for solving dynamic and elastic-plastic problems of geomechanics are proposed. Using the finite difference method and on the basis of the principles of the mathematical modeling of physical processes the tensor components, which characterize the dynamic stress field in rocks around the vaulted excavation of the type under the oblique action of the stress wave on it, were determined. An iterative process, which allows calculating the components of the stress tensor and the velocity of the plastic flow of rocks around mine workings at great depths, is designed with the help of numerical analytical method. Reliability and validity of the method is confirmed by comparing the obtained calculations with the results of solutions found by other authors and experimental data.

How to cite: Gospodarikov A.P., Karpenko V.V., Kolton G.A. Mathematical modeling of physical processes in some problems of geomechanics // Journal of Mining Institute. 2001. Vol. 147. p. 198-202.
Without section
  • Date submitted
    1973-09-03
  • Date accepted
    1973-11-17
  • Date published
    1974-03-01

Обтекание конуса гиперзвуковым потоком вязкого излучающего газа |

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При движении тела в газе с большой сверхзвуковой скоростью газ, находящийся в области между поверхностью тела и ударной волной нагревается до температуры нескольких тысяч градусов. При такой температуре на параметры потока может оказывать существенное влияние теплообмен излучением между частицами газа, а также между газом и поверхностью обтекаемого тела. Теплоизлучение газа в ударном слое приводит к понижению его температуры и увеличению плотности ...

How to cite: Kolton G.A. // Journal of Mining Institute. 1974. Vol. № 3 52. p. 78.
Without section
  • Date submitted
    1973-09-26
  • Date accepted
    1973-11-25
  • Date published
    1974-03-01

К вопросу о нахождении частот поперечных свободных колебании круглой пластины

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Рассмотрим упругие поперечные (изгибные) свободные колебания пластины, имеющей форму кругового кольца, защемленного по внутрен­нему контуру радиуса Ь, со свободным наружным контуром радиуса с ...

How to cite: Zhuravlev P.A., Kolton G.A. // Journal of Mining Institute. 1974. Vol. № 3 52. p. 101.
Without section
  • Date submitted
    1967-09-04
  • Date accepted
    1967-11-25
  • Date published
    1968-03-01

Об уравнениях сверхзвуковых трехмерных течений невязкого газа

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При исследовании некоторых задач обтекания тел сверхзвуковым пото­ком газа систему уравнений гидромеханики удобнее записывать не в декар­товых, а в естественных координатах. Аналогичные координаты были ис­пользованы при решении задач обтекания плоских и осесимметричных тел гиперзвуковым потоком газа методом «пограничного слоя» ...

How to cite: Kolton G.A. // Journal of Mining Institute. 1968. Vol. № 3 48. p. 105.
Without section
  • Date submitted
    1963-09-15
  • Date accepted
    1963-11-09
  • Date published
    1964-03-01

Учет излучения в задачах обтекания тупоносого осесимметричного тела гиперзвуковым потоком газа

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При движении тел с большими сверхзвуковыми скоростями газ, на­ходящийся между поверхностью тела и ударной волной, нагревается до нескольких тысяч градусов. При таких температурах теплообмен излуче­нием между частицами газа, а также между газом и поверхностью тела, оказывает существенное влияние на параметры газа в ударном слое. В этом случае для решения задачи обтекания тупоносого тела гипер­звуковым потоком газа необходимо привлечь полную систему уравнений газовой динамики с учетом вязкости и теплопроводности газа и радиа­ционного поля.

How to cite: Kolton G.A. // Journal of Mining Institute. 1964. Vol. № 3 44. p. 80.