Course detail

Theory of Dynamic Systems, Modelling and Experiment

FSI-RZEAcad. year: 2011/2012

The course offers an overview of basic knowledge in these fields: theory of systems, structure of the world of technology, theory of modelling, theory of experiment, design of technical objects, theory of statistical data processing, theory of failures and limit states, theory of deterministic chaos, theory of synergetics. It offers a possibility of a comprehensive view of technical life of technical objects.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

prof. Ing. Přemysl Janíček, DrSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Knowledge on structures, properties and behaviour of various systems, above all technical, on approaches and methods of solving stress-strain, stability and reliability problems of these systems, especially by computational and experimental modelling with application of statistical methods. Basic knowledge on deterministic chaos in behaviour of non-linear dynamic systems.
Students will get abilities of correct and pragmatic formulation of problems concerning technical systems, basic knowledge on the "art of modelling", on effective exploitation of various types of modelling in solving problems, and the ability of investigation of all processes in systems in the sense of the possibility of a deterministic and stochastic chaos.

Prerequisites

Knowledge of previous courses in Mechanics (Statics, Kinematics, Dynamics), basics in programming recommended.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Graded course-unit credit. Conditions: written test (basic terms), semester project.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to learn a system approach for the solution of engineering tasks using computational and experimental modelling with the focus on dynamical properties of technical systems.

Specification of controlled education, way of implementation and compensation for absences

Active participation in exercises is necessary. Organization of lectures is specified by the teacher at the beginning of semester.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Habr, J., Vepřek, J.: Systémová analýza a syntéza, 1986,
Vlček, J.: Metody systémového inženýrství, 1984
Ondráček,E.,Janíček,P.: Výpočtové modely v technické praxi, , 0
Janíček, P.: Ondráček. E.: Řešení problémů modelování, (skriptum), 1995.
Janíček, P.: Systémové pojetí vybraných oborů pro techniky, 2006

Recommended reading

Ondráček,E.,Janíček,P.: Výpočtové modely v technické praxi, , 0
Janíček,P.,Ondráček,E.: Řešení problémů modelováním, , 0

Classification of course in study plans

  • Programme M2A-P Master's

    branch M-IMB , 1. year of study, winter semester, compulsory-optional
    branch M-MAI , 1. year of study, winter semester, elective (voluntary)
    branch M-MET , 1. year of study, winter semester, elective (voluntary)

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

prof. Ing. Přemysl Janíček, DrSc.

Syllabus

1. Systematic methodology (systematic approach, systematic thinking, syst. methods and algorithms……)
2. Definition of terms real and abstract system, classification of systems from various viewpoints.
3. Dynamic systems – classification (linear, non-linear, autonomous, non-autonomous), properties, behaviour, stability.
4. Technical objects as dynamic systems – a comprehensive view of technical products.
5. Comprehensive information on modelling (definition, history, axioms, attributes, generalized structure).
6. Comprehensive information on modelling (computational modelling – analytical, numerical, using artificial intelligence).
7. Comprehensive information on modelling (creation of computational models, simulation, identification, optimization).
8. Comprehensive information on technical experiment (definition, classification, generalized structure, decomposition).
9. Comprehensive information on technical experiment (measuring methods in general and in solid mechanics, diagnostics).
10. Comprehensively on design of technical objects (series and parallel engineering, computational supports, logistics).
11. Theory and applications of limit states at technical objects (definition, generalized structure, classification).
12. Theory and applications of mathematical statistics (definition, generalized structure, classification of statistical methods).
13. Deterministic chaos (definition, ways of chaos initiation, chaotic behaviour of non-linear systems, synergetics).