Ikonnikova N. Mathematical Modeling of Dynamic Processes in Assessments of the Conditions of Geotechnical Systems

The thesis is devoted to the development of mathematical models and methods of computer modeling which are the basis of regularities of development of dynamic processes within the system "mining technical object - rock mass" and of solution of topical scientific issue of assessing dynamic conditions of geotechnical system while preliminary working supports in unstable rocks of deep coal mines. Use of three-shoulder gravitational pendulums as well as standard, fully connected and predetermined nonlinearity k and mass systems of spring pendulums are proposed for mathematical modeling of dynamic processes in geotechnical systems. Peculiarities of mathematical modeling in determined and random systems including the parameters, criteria, and allowable errors of iteration are defined. Method of finite elements are used to assess the influence of a hole wall shape upon the anchor efficiency and to define the advantages of new technology providing proportional load of hole wall. The results of the research allow increasing level of mining efficiency and safety.