基于突变理论的煤矿钻孔地物人突变性研究
[Abstract]:Nonlinear theory is playing a more and more important role in the development of society today. In this paper, the catastrophe of borehole under coal mine under load is studied with the catastrophe theory of nonlinear system theory as a tool. The types of mutation in the uniaxial compression data of pre-drilled coal samples and the mutation law around the boreholes are analyzed experimentally, and the scientific management suggestions based on the catastrophe theory for coal drillers are given. From qualitative and quantitative aspects, the paper analyzes the stress of borehole under external load in coal mine. The energy function of the hole under load is constructed by the yield zone load, elastic zone load and the load formula of the coal seam in the section. Then, by means of Taylor formula, the truncation model is obtained and the cusp catastrophe model is obtained. The existence of catastrophe function root is analyzed theoretically, and the relationship between catastrophe and load in borehole is obtained. Then, the paper uses the DDL200 electronic universal testing machine to carry out the experiment on the coal sample of pre-belt drilled coal which is made up of pulverized coal powder, fly ash and water at 11:2:7 mass ratio, and obtains the strain data by uniaxial compression method. The mesh diagram of strain data in many time periods is drawn by MATLAB software, and the region where the data changes dramatically is found. Through the function fitting of the data, the functional formula which can satisfy the condition of the sudden change model is obtained. By comparing the fitness of the cusp mutation model with the butterfly mutation model, the more suitable butterfly mutation model is selected to analyze the strain data, and the time point when the strain value of the pre-drilled coal sample mutates is obtained. The variation of the function root and the stability around the borehole are analyzed. In addition, in order to study the safety effect of borehole mutation, through the form of questionnaire, this paper investigates the local psychological state of drilling miner, and finds out the safety problem caused by drilling mutation, which will make miner psychological mutation reaction. This is manifested in the choice between the resignation and hard work of the drilling miners. In order to illustrate this problem, the psychological activities between the hard work and resignation of the drilling miners are discussed by using the cusp mutation model. The suggestion of eliminating psychological mutation of drilling miners is put forward. By using the catastrophe theory model, this paper provides ideas for the application of catastrophe in coal drilling, and provides theoretical support for people to understand coal drilling, analyze the law of coal sample mutation in pre-drilled holes, and solve the catastrophe of psychological activities of drilling miners. Thus, it lays a foundation for better analysis of boreholes and the use of theory to understand the sudden change of boreholes in coal mines.
【学位授予单位】:西安科技大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:TD79
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