Course detail
Stochastic Mechanics
FSI-RSOAcad. year: 2020/2021
Statistical techniques play indispensable roles in the fields of engineering disciplines, as well as in meteorology, biology and medicine. In this course we discuss the structure of probability space, characteristics of random data, probability function, correlation and spectral density functions, system identification and response, and basic engineering applications of correlation and spectral analysis.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Bolotin, V.V.: Použití metod teorie pravděpodobnosti a teorie spolehlivosti při navrhování konstrukcí. SNTL - nakladatelství technické literatury, Praha, 1978. (299 s)
Kratochvíl, C. a kol.: Stochastická mechanika, I. Část, studijní podpory FSI, Ústav mechaniky, mechatroniky a biomechanika, 2004
Kropáč, O.: Náhodné jevy v mechanických soustavách, SNTL Praha, 1987
Sun, J.: Stochastic Dynamics and Control, Elsevier, 2006
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Basic terms of mathematical statistics and probability
Analysis of the process in the technical systems
Basic theory of dynamic systems
Stationary and non-stationary processes, deterministic chaos
Basic features of stationary process, algebra of stationary processes
Models of non-stationary processes and their phenomena
Correlation and spectral analysis in engineering
Solving of simple stochastic problems in the time and frequency domain
Computer-assisted exercise
Teacher / Lecturer
Syllabus
Calculation of stationary processes characteristics
Calculation of statistical characteristics for simple static problems
Calculation of response characteristics for dynamic system- passage of random signal.
Mechanical system responses - multiple inputs and multiple outputs
Elearning