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Study On Coal Mine Drilling Concerning Multiple Perspectives On Catastrophe Theory

Posted on:2018-09-25Degree:MasterType:Thesis
Country:ChinaCandidate:R Z YuanFull Text:PDF
GTID:2321330533462601Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The nonlinear theory plays an increasingly important role in the development of today's society.In this paper,the catastrophe theory of the nonlinear system theory is used as the tool to study the mutability of the drilling under the load,analyzed the types of catastrophe in the uniaxial compression data of the pre-drilling coal and the mutation rule around the hole and gived the scientific management suggestions of the coal mine drilling workers based on the catastrophe theory.Based on the aspects of qualitative and quantitative,this thesis analyze the stress of the hole in the external load,and,the energy function of the hole under the load is constructed by the load of the yield zone.The load of the elastic zone and the load formula of the section coal seam is been studied.By using the Taylor formula,truncation,the cusp catastrophic model is obtained,and the existence of the root of the mutation function is analyzed theoretically.The relationship between the existence of the mutation in the drilling and the load is obtained.Then,the article put up with pulverized coal,fly ash and water with the ratio of 11:2:7,uses the DDL200 electronic universal testing machine to experiment with the uniaxial compression experiment to get strain data.Multiple time strain data of mesh map is gotten by using the mathematical software MATLAB,and find the data change severely area,through the study of the function to do data fitting,the function formula can satisfy the condition of the mutation model.Based on the comparison of the cusp catastrophic model and butterfly mutation model,the more suitable butterfly mutation model is selected to analyze the strain data,with drilling coal sample is obtained strain numerical mutation point in time,as well as the function changes of the root and analyze the stability of the surrounding drilling changes.In addition,this article investigate the local drilling miners psychological state by the form of questionnaires for the study of safety effects of drilling abruptness,and draw a conclusion that the rigidity of the drilling mutation caused by the safety of miners will cause a sudden response,which is reflected in the drilling of minersresignation and work between the choice.The article uses the cusp catastrophic model to discuss drilling miners between work hard with resignation of psychological activity,for the safety in production and for the miners management,and put forward the proposal to eliminate the psychological mutation of drilling miners.In this paper,by using of catastrophe theory model,this thesis propose ideas of mutability applied in drilling of coal mines,and making people to understand the coal mine drilling mutation,analyzed drilling coal samples with mutation regularity,and provide theoretical support for the changes of mental activity of drilling miners for people to have a better understanding of the coal mine drilling,and lay the foundation for analyzing the drilling well and understanding the theory of coal mine drilling mutation problem.
Keywords/Search Tags:Catastrophe theory, Cusp catastrophic, Butterfly mutation, Uniaxial compression, Data fitting, Questionnaire
PDF Full Text Request
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