Magistracy
Speciality Code:
7M05404
Speciality Name:
Mechanics
Faculty:
Mechanics and Mathematics
Qualification:
- Scientific and pedagogical direction - Master of Natural Sciences
- Model of graduating student
- Mandatory disciplines
- Elective disciplines
- Professional
1.ON1 understand and evaluate the role of science in the development of society, describe the current problems of mechanics, the current trends in the development of mechanics as a science;
2. ON2 to formulate and solve modern scientific and practical problems of mechanics, determining and evaluating the relevance of the chosen topic in theoretical and practical terms;
3. ON3 to apply computer modeling in solving modern problems of mechanics with the subsequent visualization of the processes occurring in the object of study;
4. ON4 to apply modern technologies of high-performance computing to solve problems of mechanics and critically analyze and evaluate the results obtained;
5. ON5 to analyze and apply analytical, qualitative and numerical methods used to solve problems of modern celestial mechanics, nonlinear dynamics of space flight, nonholonomic mechanics, perturbation theory, resonant multi-frequency systems;
6. ON6 analyze and apply analytical and numerical methods used to solve problems of hydrodynamics, turbulent and reacting flows, gas dynamics, as well as to study structures having nano-dimensions;
7. ON7 analyze and apply analytical and numerical methods used to solve problems of dynamics and control of mechanical and technical systems, machines and mechanisms;
8. ON8 analyze and apply analytical and numerical methods used to solve problems of the theory of elasticity, the theory of impact, the theory of rods, plates and shells, the study of mechanical processes in soils and rocks;
9. ON9 to plan and conduct research activities on the chosen scientific topic, starting with the competent formulation of the problem, determining the appropriate mathematical model, reasonable choice of methods for solving and completing the interpretation of the results with the development of recommendations for solving the problem;
10. ON10 to assess the interdisciplinarity of the problems studied, explain the research results and the proposed recommendations to specialists and non-specialists, as well as reasonably defend their point of view, critically and benevolently assessing the opinions of the listeners;
11. ON11 to demonstrate the ability to do research independently and successfully work in a team, to determine and analyze further ways of professional development, assessing the limitations and requirements of society;
12. ON12 to give lectures and teach students in special disciplines in universities and colleges applying the knowledge of pedagogy and psychology in higher education in their educational activities.
2. ON2 to formulate and solve modern scientific and practical problems of mechanics, determining and evaluating the relevance of the chosen topic in theoretical and practical terms;
3. ON3 to apply computer modeling in solving modern problems of mechanics with the subsequent visualization of the processes occurring in the object of study;
4. ON4 to apply modern technologies of high-performance computing to solve problems of mechanics and critically analyze and evaluate the results obtained;
5. ON5 to analyze and apply analytical, qualitative and numerical methods used to solve problems of modern celestial mechanics, nonlinear dynamics of space flight, nonholonomic mechanics, perturbation theory, resonant multi-frequency systems;
6. ON6 analyze and apply analytical and numerical methods used to solve problems of hydrodynamics, turbulent and reacting flows, gas dynamics, as well as to study structures having nano-dimensions;
7. ON7 analyze and apply analytical and numerical methods used to solve problems of dynamics and control of mechanical and technical systems, machines and mechanisms;
8. ON8 analyze and apply analytical and numerical methods used to solve problems of the theory of elasticity, the theory of impact, the theory of rods, plates and shells, the study of mechanical processes in soils and rocks;
9. ON9 to plan and conduct research activities on the chosen scientific topic, starting with the competent formulation of the problem, determining the appropriate mathematical model, reasonable choice of methods for solving and completing the interpretation of the results with the development of recommendations for solving the problem;
10. ON10 to assess the interdisciplinarity of the problems studied, explain the research results and the proposed recommendations to specialists and non-specialists, as well as reasonably defend their point of view, critically and benevolently assessing the opinions of the listeners;
11. ON11 to demonstrate the ability to do research independently and successfully work in a team, to determine and analyze further ways of professional development, assessing the limitations and requirements of society;
12. ON12 to give lectures and teach students in special disciplines in universities and colleges applying the knowledge of pedagogy and psychology in higher education in their educational activities.
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Foreign language (professional)
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose is to acquire and improve competencies by international standards of foreign language education and to communicate in an intercultural, professional, and scientific environment. A master's student must integrate new information, understand the organization of languages, interact in society, and defend his point of view.
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History and Philosophy of Science
- Number of credits: 3
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The course forms knowledge about the history and theory of science; on the laws of the development of science and the structure of scientific knowledge; about science as a profession and social institution; оn the methods of conducting scientific research; the role of science in the development of society.
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Qualitative Methods for the Study of Problems of Mechanics
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Aim of the discipline – in the formation of knowledge and professional competence in studies of dynamic systems. In this course the methods for the qualitative study of mechanical problems, the integration of dynamic systems in the analysis of phase space, autonomous and non-autonomous theory of bifurcation in multidimensional systems, periodic and transient dynamic systems, conditionally periodic motions, spatial and temporal values are considered.
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Organization and Planning of Scientific Research (in English)
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to train masters in conducting scientific research, carrying out scientific and methodological work, socializing young students and their participation in the corporate governance system of Organization of higher and postgraduate education (OHPE). Undergraduates learn to interact with OHPE stakeholders, participate in research projects.
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Pedagogy of Higher education
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose is the formation of the ability of pedagogical activity through the knowledge of higher education didactics, theories of upbringing and education management, analysis, and self-assessment of teaching activities. The course covers the educational activity design of specialists, Bologna process implementation, acquiring a lecturer, and curatorial skills by TLA-strategies.
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Psychology of Management
- Number of credits: 3
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The course reveals the subject, the basic principles of management psychology, personality in managerial interactions, personal behavior management, psychology of managing group phenomena and processes, psychological characteristics of the leader's personality, individual management style, psychology of influence in management activities, conflict management.
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Modern Management Methods
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: As a result of studying the discipline masters students will be able to: demonstrate knowledge of the control theory principles, models and methods for the study of linear and nonlinear systems; determine the stability, static and dynamic accuracy of control systems; create a system with the desired properties; analyze and apply the principles of construction and operation of control systems.
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Similarity and Dimension Methods in Mechanics
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The aim of the discipline is to build knowledge and professional competence of students on the theory of similarity and dimension in mechanics. Will be studied: system of defining dimensionless parameters, dimension theory, similarity theory, dimension theory for different quantities, dimensional quantities, dimensionless quantities, basic units of measurement, derived units of measurement, dimension formula, similarity numbers, dynamic similarity, modeling of physical processes.
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Modern High-Performance Computing Technology in Mechanics
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of modern high-performance computing in mechanical engineering, familiarize undergraduates with modern numerical methods for solving mechanical problems, teach the principles of mathematical modeling of mechanical problems, introduce modern techniques for constructing numerical schemes used for numerical solving partial derivatives, and their numerical implementation on a computer. As a result of studying this module, students will be able to apply modern numerical methods in solving problems of mechanics; Will be aware of the principles of mathematical modeling of problems in mechanics; Will be acquainted with modern methods of constructing numerical schemes.
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Modern Problems of Mechanics
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Forming a systemic representation of the basic concepts and trends in the development of mechanics as a science, mastering traditional analytical methods for solving a number of theoretical and applied problems in mechanics, acquiring knowledge using the method of calculating the main parameters of the considered objects. Abstract оf discipline: This course introduces the basic concepts and terms, the main trends and actual directions in the development of mechanics as a science, allows mastering the basic principles of calculating structures and traditional analytical methods for solving a number of theoretical and applied problems in mechanics, acquiring knowledge using the method of calculating the main parameters of the considered objects and analyzing the obtained results
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Dynamics Synthesis of Mechanisms and Machines
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form knowledge and professional competence in the field of dynamic synthesis of mechanisms and machines, to give knowledge and understanding in the field of dynamic synthesis of flat mechanisms with lower pairs, dynamic synthesis of cam mechanisms, dynamic synthesis of gear mechanisms and the basics of designing the above mechanisms. This course covers the basics of dynamic synthesis of flat mechanisms with lower pairs and methods for solving them, the problems of dynamic synthesis of cam mechanisms, the basics of dynamic synthesis of gear mechanisms and methods for solving problems, as well as an idea of the basics of designing mechanisms and machines.
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Perturbation methods
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form knowledge and professional competence in the field of perturbation methods, to study methods of perturbation theory in mechanics and cosmodynamics, to apply these methods to study the motion of spacecraft and a solid body with one fixed point. In this course, the classical methods of perturbation theory (Lindstedt, Poincare, Zeipel, Birkhoff methods), modern perturbation methods (modifications of the Hori-Deprit method), the Delaunay-Hill schemes and of their features will be considered.
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Mechanical Processes in Soils and Rocks
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form the initial knowledge and professional competence in the field of mechanics of soils and rocks. This course discusses: basic introductory concepts, research methods, equations of state of soils and rocks with elasticity, plasticity and creep foundations, Hooke's law, the basics of isotropic and anisotropic models. The States of equilibrium of soil slopes, slopes, landslide processes, filtration and infiltration phenomena, some algorithms of practical application of FEM, solutions of some practical problems will be considered.
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Optimal Design of Mechanical Systems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of optimal design of pivotal mechanisms, to familiarize undergraduates with modern concepts of optimal synthesis of pivotal mechanisms. This course examines the main methods for solving problems of structural, kinematic, dynamic analysis and approximation synthesis of the theory of machines and mechanisms, modeling the problem of optimal design of mechanisms and solving them with analytical and numerical methods, developing algorithms.
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Subterranean Hydrodynamics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form knowledge and professional competence in the field of underground hydrodynamics, to acquaint them with the basic concepts and terms of underground hydrodynamics, characteristics of rocks, to teach them to derive basic equations and to acquaint with the fundamental axioms, hypotheses and modern approaches in modeling underground hydrodynamics. The discipline of " Subterranean hydrodynamics " is to teach master students the basic concepts and effects encountered in problems of underground hydrodynamics, such as absolute and effective porosity, absolute and relative permeability, wettability, capillary effect, saturation of different phases, etc. Masters will learn to derive equations and build mathematical and computer models of aquifers / reservoirs and define boundary conditions for such tasks as near well flow, pollution propagation in a porous medium, displacement of one phase by another, finding effective permeability of heterogeneous rock structures, etc.
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Application of Computer Systems in the Design of Mechanisms and Machines
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to teach doctoral students modern methods of computer-aided calculation and design, the formation of knowledge and professional competencies in the field of machines and mechanisms. This course discusses: modern methods of automated calculation and design of machines and mechanisms.. Will be considered a computer recording system and solutions of the terms of kinetostatical equations and dynamics, finite element calculation and 3D designing of machines and mechanisms.
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Synthesis of Basic Types of Linkages
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Objective: the study by undergraduates of the basic methods of synthesis of linkages of transmission, guide and transfer type as the basis of their preliminary design. Solve problems of dynamic synthesis of mechanisms by analytical and numerical methods, apply methods of synthesis of mechanisms according to the condition of the best power transfer The course provides knowledge of the role and place of linkages in solving problems of robotization and automation of production, modern analytical and numerical methods for the synthesis of gear, guide and moving linkages. The problems of kinematic synthesis of linkages and modern methods for their solution in two, three and an arbitrary number of given positions of the output link. The methods of structural-kinematic synthesis, analytical methods for the approximation synthesis of flat and spatial mechanisms, software for practical synthesis based on quadratic and best approximation are considered. The practical aspects of the synthesis of approximate generators of direct, regulated mechanisms, musculoskeletal mechanisms of walking robots. Analytical and numerical methods of balancing and dynamic synthesis of mechanisms, synthesis according to the condition of the best power transfer are studied. Practical problems of optimal dynamic balancing of the drive of sucker-rod pumping units with rotary and combined methods of balancing, dynamic synthesis of the mechanisms of vibrators of pulse action, multi-criteria synthesis of load-lifting mechanisms are considered.
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Elasticity Theory
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the course is mastering the basics of theoretical positions, concepts, principles, equations and problem statements of elasticity theory , mastering the basic analytical methods for solving a number of problems for calculating elastic deformable bodies.
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Technical Systems Management
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of control systems of robotic complexes, familiarize undergraduates with devices, design principles, information-measuring systems and control systems of robots. The objectives of the course are to acquire the knowledge and skills that will allow undergraduates to solve the problems of designing and designing robotic systems and their management. As a result of studying the discipline, undergraduates will know the device of robots, the principles of design, information-measuring and control systems of robots, be able to design manipulators and robots, program manipulators and robots, as well as speak control languages of manipulators and robots on computers.
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Computational Methods for Turbulent Flows
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of computational methods for turbulent flows, to familiarize undergraduates with the basic principles of the theory of turbulent flows and methods of mathematical modeling of their main statistical characteristics.
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Modeling of Reacting Flows
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form students' knowledge and professional competence in the field of modeling reacting flows, in mastering the laws of hydrodynamics and basic methods for modeling reacting flows, to teach them to understand the basic equations and fundamental axioms, hypotheses and modern approaches in modeling chemically reacting flows, as well as to familiarize students with the main reacting currents with practical examples.
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Nanotechnologies
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The aim of the discipline is to for knowledge and professional competence in the field of nanotechnologies, is introducing the main principles of measuring, study, obtaining and modification of the structure with size of 0.1 – 100 nm, as well as fundamental knowledge for studying flows at the nanoscale.
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Computational gas dynamics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of computational gas dynamics, in the structure of mathematical models, in understanding the basics of gas dynamics, such as compressibility, shock waves, Mach number, diffusion, etc. and instill skills to recognize the specific behavior of these effects while solving internal and external flow problems. To teach students the basic and modern computational technics in Gas Dynamics, to teach them to understand the basic equations and to solve these equations using numerical procedures. Concept of the course is based on the book “Computational Gasdynamics (CGD)” by Culbert B. Laney. As a result of studying the course, students should know the basic system of equations for compressible flows, numerical methods of solution these equations, pros and cons of that numerical methods.
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Simulation of Hydrodynamics Problems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of modeling problems of hydrodynamics, to familiarize undergraduates with the capabilities of the Comsol Multiphysics software package. Also undergraduates will get acquainted with the fundamental axioms, hypotheses and modern approaches in modeling problems of hydrodynamics; learn how to derive difference schemes for discretization of differential equations. The discipline "Modeling of hydrodynamics problems" is to teach the master students to build mathematical and computer models for hydrodynamic problems and to set the boundary conditions. The students will learn how to use Comsol Multiphysics software in simulation of such problems as Poiseuille flow, Couette flow, single-phase Darcy law (core experiment), two-phase Darcy law (displacement problem), visualization of scalar and vector fields, analysis and optimization of obtained results. One-dimensional transport equations (problems for application of convection and diffusion equations) and the classical cavern problem with the derivation of streamlines and vorticity lines.
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Nonlinear Dynamics of Space Flight
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form knowledge and professional competence in the field of nonlinear dynamics of space flight, to study the basic concepts and theorems, the main tasks of nonlinear dynamics of space flight and methods for solving them, to apply these methods to study the unmounted spacecraft motion. In this course, the perturbed translational and rotational motions of the spacecraft , and methods for their investigation will be considered.
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Nonlinear Dynamics of Machines and Mechanisms
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of teaching the discipline is – to acquaint undergraduates with the basic principles and universal methods of research of nonlinear systems that can be used in solving other problems along with General methods the course discusses special methods suitable for the calculation of chain systems with nonlinear position functions. The objectives of the discipline are to familiarize students with the mathematical methods of research and the basic principles of construction and application of nonlinear dynamics of machines and mechanisms, as well as the basic information of their practical application. The discipline represents the basic fundamental problems of modern nonlinear dynamics of different systems and illustrates a number of applied aspects on the examples of problems. The course begins with the consideration of methods for determining periodic solutions, the study of their stability, free and forced oscillations, self-oscillations, parametric resonance, methods for determining the frequencies of free oscillations. Adequately considers the dynamic models of mechanisms, and analyzes the distortion in the reproduction of the original kinematic dependencies
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Modern Celestial Mechanics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to build knowledge and professional competence in the field of modern celestial mechanics, in mastering the undergraduates of mathematical methods for the study of modern celestial mechanics. In particular, topological methods of dynamic systems, KAM - theory and systems of symbolic calculations. Analytical methods with application of the variational principles of theoretical mechanics are the basis for the numerical analysis of the secular evolution of the three-body problem. As a result of studying this discipline, undergraduates will: know modern methods of theoretical and celestial mechanics, apply modern mathematical methods to solve problems of celestial mechanics of bodies with variable masses, visualize the results of analyzing the dynamics of gravitating systems, master the principles of theoretical and celestial mechanics.
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Theory of Rods, Plates and Shells
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The Aim of the course is mastering the basic concepts of equations, tasks and methods for calculating the theory of rods, plates and shells, acquiring the skills of carrying out their calculations for strength, rigidity and stability under the action of various loads and factors. This course introduces the basic concepts and terms, equations, tasks and methods of calculating the Theory of rods, plates and shells, allows you to master analytical methods for solving a number of theoretical and applied problems of this course to calculate the considered deformable structural elements for strength, rigidity and stability under the action of various loads and factors.
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Pedagogical
- Type of control: Защита практики
- Description: Aim оf discipline: formation of the ability to carry out educational activities in universities, to design the educational process and conduct certain types of training sessions using innovative educational technologies.
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Research
- Type of control: Защита практики
- Description: The purpose of the practice: gaining experience in the study of an actual scientific problem, expand the professional knowledge gained in the learning process, and developing practical skills for conducting independent scientific work. The practice is aimed at developing the skills of research, analysis and application of economic knowledge.