Course detail
Stochastic Mechanics
FSI-RSOAcad. year: 2015/2016
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
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Basic terms of mathematical statistics and probabilistic
Analyse of process in the technical systems
Basic theory of dynamic systems
Steady and unsteady processes, deterministic chaos
Basic features of steady phenomena, algebra of steady processes
Models of unsteady processes and their phenomena
Correlation and spectral analysis and their features in engineering
Solving of simple stochastic problems in the time and spectral domain
Solving of simple stochastic problems in the time and spectral domain
Computer-assisted exercise
Teacher / Lecturer
Syllabus
Basic problems of probabilistic theory
Computation of steady processes features
Computation of steady processes features
Computation of statistic characteristics of simple problems
Computation of statistic characteristics of simple problems
Computation of responses characteristics for dynamics problems – passage random signal with one degree of freedom
Computation of responses characteristics for dynamics problems – passage random signal with one degree of freedom
Responses of mechanical systems with more inputs and more outputs
Responses of mechanical systems with more inputs and more outputs