Larionov G. Mathematical modeling of "anchor bar - fixing compound - rock" system and the parameter designing

The thesis is devoted to a solution of the important scientific problem: anchor spacing with taking into account the load transfer mechanism in "anchor bar - resin - rock" system. The mine opening depth location, bolt pretension, construct and technological system parameters are the base to create a new efficiency bolt supporting system. The system parameter influence evaluating on strain - stress state is obtained as a result of two task solving. Shear borehole surface stress distribution is obtained with modified general N.E. Zhukovsky task solving and is taken as boundary condition for strain - stress state in anchor vicinity task. Anchor space dependence on mine opening depth, pretension value, length and bolt diameter and shear stress intensity is obtained. The sequence approximation method was developed to apply to mathematical model result analyses. As a result, a radius of influence on stress-strain state rock dependence is obtained. Scientific results are applied in state coal mine department control document as: The system of providing a reliable and safe functioning of rock bolted mining opening. General technical requirements.