PhD courses
Speciality Code:
8D05403
Speciality Name:
Mechanics
Faculty:
Mechanics and Mathematics
Qualification:
- Scientific and pedagogical direction - Doctor of Philosophy (PhD)
- Model of graduating student
- Mandatory disciplines
- Elective disciplines
- Professional
As a result of studying the discipline, PhD students will be able to:
1. ON1 to critically analyze modern analytical and numerical methods for solving problems of theoretical and celestial mechanics and choose appropriate methods taking into account the limitations in the formulation of a specific physical problem;
2. ON2 to comprehensively analyze the physicochemical properties of nanomaterials, analyze the principles of constructing models of turbulent flows, simulate problems of the fluid dynamics with a high order of accuracy using high-performance calculations and parallel calculations;
3. ON3 to simulate heat and mass transfer problems, construct models taking into account the chemical reactions occurring, conduct research on complex physical processes in COMSOL Multiphysics software where several modules are involved;
4. ON4 to design actuators, manipulators, stationary and mobile robots using modern methods of modeling robotic systems, design calculations, diagnostics and control of mechatronic systems, including methods for studying modern intelligent systems of robots;
5. ON5 to apply analytical and numerical methods to solving problems of the theory of plasticity and creeping flow, special problems of the mechanics of a deformable solid, the mechanics of underground structures, the mechanics of brittle fracture, the mechanics of composites;
6. ON6 to analyze and interpret scientific data from various fields of mechanics using modern data processing methods, including visualization, and develop practical recommendations based on them;
7. ON7 to distinguish between the conditions of stability and instability, the chaos inception, the definition of the hotbeds of chaos and their boundaries, applying this knowledge to solve problems of specific areas of mechanics;
8. ON8 to write independently scientific projects, setting a theoretical or practical problem of mechanics which is a matter of public interest, and develop an algorithm for research activities necessary for its solution;
9. ON9 to implement and correct/adjust, if necessary, the process of independent scientific research, selecting the methods that most accurately meet the problem’s solution;
10. ON10 to critically analyze and evaluate the results obtained, to formulate reasonable conclusions even in conditions of incomplete or limited information;
11. ON11 to write scientific articles and communicate to the wide scientific community the results of their research, critically highlighting their significance;
12. ON12 to determine the direction and intensity of their professional development in the chosen scientific field, be able to work in a team and promote the development of the collective and society as a whole.
1. ON1 to critically analyze modern analytical and numerical methods for solving problems of theoretical and celestial mechanics and choose appropriate methods taking into account the limitations in the formulation of a specific physical problem;
2. ON2 to comprehensively analyze the physicochemical properties of nanomaterials, analyze the principles of constructing models of turbulent flows, simulate problems of the fluid dynamics with a high order of accuracy using high-performance calculations and parallel calculations;
3. ON3 to simulate heat and mass transfer problems, construct models taking into account the chemical reactions occurring, conduct research on complex physical processes in COMSOL Multiphysics software where several modules are involved;
4. ON4 to design actuators, manipulators, stationary and mobile robots using modern methods of modeling robotic systems, design calculations, diagnostics and control of mechatronic systems, including methods for studying modern intelligent systems of robots;
5. ON5 to apply analytical and numerical methods to solving problems of the theory of plasticity and creeping flow, special problems of the mechanics of a deformable solid, the mechanics of underground structures, the mechanics of brittle fracture, the mechanics of composites;
6. ON6 to analyze and interpret scientific data from various fields of mechanics using modern data processing methods, including visualization, and develop practical recommendations based on them;
7. ON7 to distinguish between the conditions of stability and instability, the chaos inception, the definition of the hotbeds of chaos and their boundaries, applying this knowledge to solve problems of specific areas of mechanics;
8. ON8 to write independently scientific projects, setting a theoretical or practical problem of mechanics which is a matter of public interest, and develop an algorithm for research activities necessary for its solution;
9. ON9 to implement and correct/adjust, if necessary, the process of independent scientific research, selecting the methods that most accurately meet the problem’s solution;
10. ON10 to critically analyze and evaluate the results obtained, to formulate reasonable conclusions even in conditions of incomplete or limited information;
11. ON11 to write scientific articles and communicate to the wide scientific community the results of their research, critically highlighting their significance;
12. ON12 to determine the direction and intensity of their professional development in the chosen scientific field, be able to work in a team and promote the development of the collective and society as a whole.
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Academic writing
- Number of credits: 2
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of students' skills in writing academic texts, skills in creating reports and presentations, compiling a bibliographic description. Objectives: Creation of academic texts: abstract, annotations, review, literature review, conference abstracts, scientific articles; presentations of reports. Contents: Academic writing as a practical discipline. Scientific language and scientific text. Plagiarism. Scientific citation rules. Forms of presentation of the results of scientific research. Substantiation of the research topic. Introduction. Literature review. Bibliographic description.
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Scientific Research methods
- Number of credits: 3
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal and objectives of the discipline: the formation of the ability to determine the method (analytical, experimental, numerical) of scientific research in accordance with the task; analyze, interpret scientific data, work with databases; process the data obtained in simulations, experiments, observations, use visualization methods and statistical data analysis. Contents: methods of scientific research, methods of processing and analysis of data, methods of processing empirical information, stages of data analysis, interpretation of the data obtained.
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Order and chaos in dynamic systems
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of systemic knowledge on methods for determining order and chaos in dynamic systems. Objectives: to solve the problems of mechanics, developing algorithms for calculating the cross sections in the phase space, to determine the centers of the birth of chaos in the phase space, their boundaries. Contents: order and chaos, causes of chaos in dynamical systems, research methods, boundaries of order and chaos, bifurcation characteristics of specific problems, restructuring of the phase space when changing a parameter.
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PhD thesis writing and defence
- Number of credits: 12
- Type of control: Докторская диссертация
- Description: The main purpose of "PhD thesis writing and defence": of a doctoral dissertation is the formation of the doctoral students' ability to disclose the content of research work for the defense of the thesis. During the study of course, doctoral student's should be competent in: 1. to substantiate the content of new scientifically grounded theoretical and experimental results that allow to solve a theoretical or applied problem or are a major achievement in the development of specific scientific directions; 2. explain the assessment of the completeness of the solutions to the tasks assigned, according to the specifics of the professional sphere of activity; 3. they can analyze alternative solutions for solving research and practical problems and assess the prospects for implementing these options; 4. apply the skills of writing scientific texts and presenting them in the form of scientific publications and presentations. 5. to plan and structure the scientific search, clearly highlight the research problem, develop a plan / program and methods for its study, formalize, in accordance with the requirements of the State Educational Establishment, the scientific and qualification work in the form of a thesis for a scientific degree Doctor of Doctor of Philosophy (PhD) on specialty «8D07502 – Standardization and certification (by industry)». During the study of the discipline doctoral student will learn following aspects: Registration of documents for presentation of the thesis for defense. Information card of the dissertation and registration-registration card (in the format Visio 2003). Extract from the minutes of the meeting of the institution, in which the preliminary defense of the thesis took place. Cover letter to the Higher Attestation Commission. Expert conclusion on the possibility of publishing the author's abstract. Expert opinion on the possibility of publishing a dissertation. Minutes of the meeting of the counting commission. Bulletin for voting. A shorthand record of the meeting of the dissertational council. List of scientific papers. Response of the official opponent. A review of the leading organization. The recall of the scientific adviser.
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Hardware support of robotic systems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of systemic knowledge and professional competence in the hardware and software of robotic systems among doctoral students. Objectives: solve problems in the field of creating tools and systems of robotics using modern hardware and information technologies; to develop simulation models of interaction of hardware elements of robotic systems. Contents: hardware, sensors, actuators and processors, control systems, computer control architecture of robotic systems, areas of automated control, algorithms; design and engineering activities.
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Vibroactivity, vibration and vibrodiagnostics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of skills and abilities to study vibration and vibration in machines and mechanisms; Objectives: balancing the rotor during design; determination of types and conditions of imbalance; analysis of the main provisions of methods of replacement masses; conclusions. Contents: the concept of the imbalance of the mechanism (link); methods of replacement masses; balancing of rotors; overview of typical technological processes of single-plane and high-frequency balancing schemes, balancing methods; conditions for static and dynamic balancing of the rotor during design.
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Dynamic control of robotic systems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of systemic knowledge and professional competence in the methods of dynamic control of robotic systems. Objectives: to investigate the basic kinematic relationships that allow determining the position of the robot arm in the workspace; solve the problems of the movement of its links; explore the dynamics of manipulators; Contents: theory of manipulative robots and methods of controlling them; basic kinematic relations, methods and algorithms for kinematic control of manipulators; basic information about the dynamics of manipulation mechanisms, mathematical models of movement.
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Intelligent Robotic Systems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of systemic knowledge and professional competence about intelligent systems of robots. Objectives: solve the task of planning actions of intelligent systems of robots and mobile robots based on the methods of intelligent human-machine interface; evaluate and analyze trends in the development of intelligent robotics, including miniaturization, bionic robotics, group control. Contents: intelligent systems, modern research methods for intelligent systems of robots, methods of artificial intelligence, expert systems, neural network structures, technical vision system
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Mathematical Methods of Theoretical and Celestial Mechanics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of the ability to apply modern mathematical methods to solve problems of theoretical and celestial mechanics. Objectives: to formulate the physical, mathematical formulation of the problem; apply modern mathematical methods to solving the problem; visualization of results; analysis and conclusions. Contents: modern mathematical methods of theoretical and celestial mechanics; classical methods in the modern language of computer algebra; foundations of modern KAM theory, resonant and non-resonant cases; translational-rotational movement in the osculating elements.
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Methods of Heat and Mass Transfer problems modelling
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competence in methods of modeling heat and mass transfer problems. Objectives: using the Fortran software package for solving problems of heat and mass transfer, to study the processes of heat and mass transfer; visualization of results, analysis, conclusions. Contents: models of heat and mass transfer processes, modeling of processes of convective and conductive heat transfer, diffusion, mass transfer in two-component media.
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Methods for calculating the tasks of mechanics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: mastering the basic analytical and numerical methods of calculation necessary for solving modern, urgent problems of the mechanics of deformable solids. Objectives: using effective analytical and modern numerical methods to solve the problems of mechanics of deformable solids; evaluate the accuracy of the results; analysis, conclusions. Contents: modern analytical calculation methods; numerical calculation methods; assessment of the stress-strain state, strength, stiffness and stability of the considered deformable objects, environments and structures
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Mechanics of underground structures
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competence in the field of mechanics of underground structures, Objectives: to formulate the problems of underground structures; to carry out calculations using mathematical modeling, analytical and numerical methods, computer programs. Contents: assessment of the interaction of an underground structure with the enclosing massif, analysis of the stress-strain state of the system, the basics of the theory of elements of underground structures, methods of calculating their strength and stability under the influence of various loads and factors.
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Calculation methods for turbulent flows
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: mastering the numerical methods of calculation necessary for the study of turbulent flows. Objectives: to formulate the physical formulation of the problem of turbulent flows, to choose a mathematical model of turbulence; using software packages to carry out a numerical study of turbulent flows; visualization of results; analysis, conclusions. Contents: turbulence problems, Boussinesq hypothesis, semi-empirical turbulence models, classifications of methods for calculating turbulent flows, Direct Numerical Simulation (DNS), Large Eddy Simulation Method (LES), Reynolds Equation Solution (RANS).
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Mechanics of brittle fracture
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of basic knowledge and professional competence in the field of the mechanics of brittle fracture of materials. Objectives:to study the problems of strength of machine parts and structures using the approaches of fracture mechanics; analysis of the causes of brittle fracture of materials, mechanisms of initiation and growth of main cracks; analysis of results, conclusions. Contents: the subject and problems of brittle fracture mechanics; the basic concepts of brittle fracture mechanics, theoretical and real strength of bodies; features of composites fracture.
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Modeling and control of mechatronic systems
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of systemic knowledge and professional competence in the modeling and management of mechatronic systems among doctoral students. Objectives: to design mechatronic systems based on the knowledge gained on modeling and control of mechatronic systems; simulate mechatronic motion modules; create modern control systems for mechatronic systems; analyze the results and give practical recommendations. Contents: design methods for mechatronic systems; methods of modeling mechatronic motion modules, modern control systems for mechatronic systems.
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Simulation of complex physical processes in COMSOL Multiphysics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of system knowledge and professional competence in modeling complex physical processes in COMSOL Multiphysics software. Objectives: to model and investigate complex physical and chemical processes, to solve engineering problems using the COMSOL Multiphysics software package; visualize research results; analysis of results and conclusions. Contents: an overview of the modules of hydrodynamics and heat transfer, solid mechanics, AC / DC, acoustics, chemistry, plasma; combining modules for solving multiphysics problems.
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Nanomechanics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of systemic knowledge and professional competence in the field of nanomechanics. Objectives:Tasks: to analyze the physicochemical properties of nanomaterials; apply quantum phenomena in quantum computers; develop algorithms and programs for computing on quantum computers; visualization of results, analysis of results and conclusions. Contents: basic methods of measurement, research, production and modification of structures with dimensions of 0.1 - 100 nm; quantum phenomena arising in nanostructures; quantum computers; quantum computing algorithms
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General theory of deformable media models
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of skills and abilities of mathematical and computer modeling problems of solid mechanics. Objectives: to solve the problems of solid mechanics by analytical methods, by the method of computer modeling, using modern computer technologies and applied software packages. Visualization of calculation results; analysis, conclusions. Contents: stress-strain state of solid deformable media; solid mechanics models; methods for solving problems of solid mechanics; stages of mathematical modeling, general requirements, features of building mathematical models problems of solid mechanics.
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General chemistry
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge about the mechanisms and general laws of the course of chemical processes. Objectives: to solve the problems of general chemistry, to investigate the chemical processes occurring during adsorption, combustion, heat and mass transfer during chemical transformations; analysis of results, conclusions. Contents: types of chemical bonds, chemical kinetics and equilibrium, adsorption equilibrium, general characteristics of chemical elements and their compounds, organic compounds, chemical combustion processes, heat and mass transfer during chemical transformations.
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Optimization methods of control
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competencies in optimization management methods. Objectives: to formulate the physical and mathematical formulation of the problem; apply optimization control methods to solving problems in mechanics; visualization of results, analysis of results and conclusions. Contents: basics of optimization, principles of optimal control, deterministic and stochastic problems of discrete and continuous systems, predictive control, dynamic programming, calculus of variations, Pontryagin's principle, application of the theory of optimization control for engineering systems.
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Fundamentals of symbolic computations "Mathematica"
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of basic knowledge and professional competence in the system of symbolic computing "Mathematica". Objectives: apply the package of analytical calculations "Mathematica" to solving problems of theoretical and applied mechanics; visualization of results, analysis and conclusions. Contents: the interface of the "Mathematica" system, the basics of the "Mathematica" system in the computation mode, visualization, data representation, vectors, matrices, mathematical functions, optimization problems, algebraic and transcendental equations, systems of equations, differential equations, calculation of integrals.
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Polymeric and composite materials
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of systemic knowledge about polymer and composite materials. Objectives: using modern methods of calculating polymer and composite materials, to calculate structural elements made of polymer and composite materials; determine the limits of long-term strength of polymer products, the strength of anisotropic composites; analysis of results, conclusions. Contents: polymers and composites; types, structures of polymer and composite materials, their physical, mechanical properties; methods for calculating the strength of materials, the scope of application of polymers and composites.
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Design of actuators and manipulators
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competence in the design of actuators and manipulators (DAM). Objectives: to design, develop diagrams and create DAM structures; prepare design documentation; file a patent application. Contents: patent information analysis of the current state and development of a specific type of DAM, a criterion for evaluating rational DAM, methods, algorithms and computer programs for modeling DAM; methods of making a prototype DAM; design and engineering documentation of the experimental and experimental structures of the DAM.
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Design of mobile robots
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competence in the design of mobile robots. Objektives: to program and solve the equations of kinematics, dynamics of movement of mobile robots in Matlab and Lego Maindstorms systems; create programs to control mobile robots. Contents: types and designs of mobile robots, equations of kinematics, dynamics of motion of mobile robots in Matlab and Lego Maindstorms systems; control programs for mobile robots in solving problems of navigation, localization and planning.
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Calculation of structures by the finite element method
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of knowledge and professional competence necessary for solving mechanical problems using the finite element method (FEM). Objectives: to apply FEM to solve problems of mechanics, taking into account the peculiarities of the stress-strain state of bodies; visualization of results; analysis, conclusions. Contents: features of deformation under load of bodies of various shapes, composition; approximate methods for solving problems in the mechanics of a deformable body; FEM theory; FEM for a rod finite element; an algorithm for calculating the FEM rod structure.
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Modern methods of designing robots
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: the formation of systemic knowledge and professional competence in the design of robots. Objectives: to design parts of robots in the INVENTOR environment; to carry out an automated calculation and design of machine parts, mechanisms, structural elements and assemblies in the ADAMS, EASY5 system, analysis of the results, conclusions. Contents: modern computer methods for automated calculation and design of robot parts, structural elements and assemblies, methods for performing finite element analysis in the ADAMS, EASY5 and INVENTOR environment.
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Theory of plasticity and creep
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Goals: formation of fundamental knowledge on the theory of plasticity and creep of materials. Objectives: to apply the theory of small elastoplastic deformations, the theory of plastic flow, deformation theory of plasticity and the theory of hardening to solving problems in the mechanics of deformable bodies; Contents: basic concepts and terms, basic equations and formulation of the problem of the theory of plasticity and creep, theoretical and applied problems for the calculation of inelastic, viscoelastic deformable objects, analytical methods for their solution.
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Numerical methods in fluid dynamics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The Goals:formation of the ability to apply modern methods of modeling fluid dynamics problems of a high order of accuracy, using high-performance computing and parallel calculations. The Objectives: to apply methods of high order of accuracy for solving problems of hydrodynamics; implement parallel computing on MultiGPU; visualization of results; analysis, conclusions. Contents: modern high-performance methods for modeling fluid dynamics problems, high-precision discretization schemes; methods for accuracy and convergence; parallel computing on MultiGPU.
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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.