Siroklin V. Modelling of systems and processes on the basis of optimum planning experiments

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U006645

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

23-11-2010

Specialized Academic Board

Д 64.052.02

Kharkiv National University Of Radio Electronics

Essay

Object of research - processes of effective modelling of technical and technological objects. Purpose of research - experimental investigation of systems and processes effectiveness increase by means of development and deployment methods and software-hardware modelling tools which provide opportunity for obtaining mathematical models of marked objects under condition of minimum time and cost expenses. Methods of research - hybrid analysis methods of multifactor experiment (MFE) plans classification, hybrid methods and theory of sets methods for generating optimal plan of experiment under condition of minimum cost, design of experiment methods and mathematical statistics for obtaining mathematical models of systems and processes, gradient method for mathematical models of systems and processes optimization, discrete devices synthesis methods for automation research and generating optimal design of experiment, hardware designing for multifactor experiment parameters monitoring. Research facility - personal computer, automobile. Theoretical and practical results - developed method for MFE plans classification problem solution which allows catalogues of typical representatives generation, what is especially actual for problems of typification and unification solution. Generation of combinatorial plans of MFE plans proposed method for number of experiments n > 8 and software-hardware for process research automation and optimal design of experiment generation permit automate problem solution process, terms of plans design with minimum cost decrease, reliability of obtained results improvement, decrease time and cost of experiments realization with full-scale objects models. Scientific originality - for the first time was developed method of MFE plans classification, based on invariant approach, providing possibility of generating catalogues of typical representatives, which are especially actual for design of experiments typification and unification problems solution; first obtained mathematical models of fuel consumption (petrol, gas) for different behaviour of internal combustion engine for evaluation of working capacity and efficiency of developed methods for classification and generating optimal combinatorics MFE plans, having appearance of polynomial and describing technical and economical correlation between factors like number of engine rotations per minute and inside temperature; optimal combinatorics MFE plans design method for number of experiments n < 8, n = 8 improved, that makes it possible to generate optimal combinatorics plans with number of experiments n > 8. Results of the thesis were implemented into inspection process automation and improvement of production processes and maintenance of aircraft engineering production reliability in Kharkov State Aviation Plant, into academic activities of the Experimental Research Automation Department in the National Technical University of Ukraine "Kyiv Polytechnic Institute" within theoretical courses "Multistage Systems for Information Processing", "Computing Devices and Microprocessor Systems" and in academic activities of Aviation Devices and Measures Department of the National Aerospace University within theoretical courses "Monitoring and Diagnostics of Measurement and Computing Complexes", "Experimental Design Theory", "Computer Systems for Automobile Diagnostics" what is confirmed by Deployment Certificates. Scientific and practical results of the thesis could be applied in academic activities while training specialists in the field of mathematical models and control systems; in scientific institutions and organizations conducting research activities in the field of mathematical models development on the base of experimental researches results.

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