Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
EXCAVATION OF PITS (CHANNELS) BY IMPACT OF PULSE POWER LOADING
The paper provides an innovative hydromechanical solution of the problem of profiles development of pits and channels by impact of pulse (blasting) power load on a surface of homogeneous soil mass, for example, when excavating solid rocks, frozen soil, etc. Thus, soil would be considered as an ideal heavy liquid (disregarding its mechanical strength and plastic properties). The solution of this problem is achieved by the method of consecutive conformal mappings of physical flow region (in the form of Kirchhoff complex) on the region of complex potential (in the form of a rectangle). Thus, the new technique of geometrical image generation of the latter in the presence in the flow region of a fixed point with discontinuous variations of pressure head-flow function and the direction of speed of flow and representation of an elliptic sine of Jacobi by means of elementary functions are used. The received analytical functional dependencies allow to determine an outline of a funnel of the soil ejection and all the required hydromechanical characteristics of flow (head-flow function, function of flow, speed of flow, etc.). Thus, the soil ejection funnel outline (for a benchmark problem) completely coincides with subproduct of the known rigorous solution of Lavrentyev-Kuznetsov.
EXCAVATION OF PITS (CHANNELS) BY IMPACT OF PULSE POWER LOADING
The paper provides an innovative hydromechanical solution of the problem of profiles development of pits and channels by impact of pulse (blasting) power load on a surface of homogeneous soil mass, for example, when excavating solid rocks, frozen soil, etc. Thus, soil would be considered as an ideal heavy liquid (disregarding its mechanical strength and plastic properties). The solution of this problem is achieved by the method of consecutive conformal mappings of physical flow region (in the form of Kirchhoff complex) on the region of complex potential (in the form of a rectangle). Thus, the new technique of geometrical image generation of the latter in the presence in the flow region of a fixed point with discontinuous variations of pressure head-flow function and the direction of speed of flow and representation of an elliptic sine of Jacobi by means of elementary functions are used. The received analytical functional dependencies allow to determine an outline of a funnel of the soil ejection and all the required hydromechanical characteristics of flow (head-flow function, function of flow, speed of flow, etc.). Thus, the soil ejection funnel outline (for a benchmark problem) completely coincides with subproduct of the known rigorous solution of Lavrentyev-Kuznetsov.
EXCAVATION OF PITS (CHANNELS) BY IMPACT OF PULSE POWER LOADING
Anakhaev Koshkinbai Nazirovich (Autor:in)
2017
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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