Modeling of Processes and Systems

Major: Mechanical Engineering Technologies
Code of subject: 7.131.03.M.18
Credits: 5.00
Lecturer: Slipchuk Andriy
Semester: 2 семестр
Mode of study: денна
Learning outcomes: 1. Fundamentals of construction of models for investigation and optimization of design, technology of manufacturing and operation of a cutting tool, equipment and parts of machines in production; 2. With the help of linear programming, I build and optimize the mathematical models of the design of the tools, cutting modes and machine parts; 3. Fundamentals of construction of mathematical models of design of tools and parts of machines, conditions of their operation, and optimization of models with the help of planning of the experiment; 4. Work in the multifunctional package MathCAD.
Required prior and related subjects: Higher mathematics Physics Theory of discretion Fundamentals of technology engineering Technological equipment Metal-cutting machine tools Technology of mechanical engineering
Summary of the subject: Classification of mathematical models. Fundamentals of Optimization Theory. Mathematical formulation of the optimization problem. Methods for solving linear programming problems. Simplex method for solving linear programming problems. Numerical methods for solving nonlinear programming problems Methods of solving multicriteria optimization problems. Mathematical modeling of power interaction in the cutting zone in the manufacture of parts on the machine tools. Mathematical modeling of elastic deformations in the technological system. Volume planning of work of technological machine tools.
Assessment methods and criteria: Protection of control work. Test carried out on completion of the course. The written component is composed of three level of task: test, theoretical and one practical tasks. Oral component is made based on the results of written components for thorough evaluation of knowledge. Current control (control work) - 20 points; Control examination - 80 points (written component - 60 points, the oral component - 20 points); Total - 100 points.
Recommended books: 1. Slipchuk A.M. Konspekt lektsiy "Matematicheskoye modelirovaniye v tekhnologii mashinostroyeniya". NU "LP", 2012g. 2. Bakhrushin V.Ye. Matematicheskoye osnovy modelirovaniya sistem: Uchebnik. - Zaporozh'ye: 2009. 224 s. 3. Komplekt dvukh uchebnikov "Matematicheskoye modelirovaniye protsessov i sistem mekhaniki". - Zhitomir: ZHITI, 2001. - 612s. i "Tenzornyye matematicheskiye modeli protsessov i sistem". - Zhitomir: ZHDTU, 2005. - 635s. avtor Strutinskiy V.B. 4. Dou SH. Matematika v ekonomicheskoy teorii: istoricheskiy i metodologicheskiy analiz // Voprosy ekonomiki. 2006. № 7. S. 53-73. 5. Komp'yuternoye modelirovaniye sistem i protsessov. metody vychisleniy. Chast' 1: uchebnoye posobiye / Kvetnyy G. N., Bogach I. V., Boyko O. G., Sofina O. YU., Shushura O.M .; pod obshch. red. R.N. Kvetnyy. - Vinnitsa: VNTU, 2012. - 193 s.