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Main menu for Browse IS/STAG
Course info
KME / MKP
:
Course description
Department/Unit / Abbreviation
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KME
/
MKP
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Finite Element Method
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
4
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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4 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
Yes
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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KME/TMKP
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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Introduction into Finite Element Method (FEM) problems, utilizing approximate methods in technology. FEM modelling and solution of the technical problems.
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Requirements on student
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Credit requirements:
Working up and defending term project at an appropriate level
Credit obtained in previous years of study is not accepted.
Examination requirements:
Active knowledge of delivered problems, ability to apply FEM to simple problem solution
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Content
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1st week: Introduction into FEM. Solution problems with modelling. Basic classification of problems of discrete and continuous mechanical systems
2nd week: Approximate methods in technology, simple examples.
3rd week: Fundamental mathematical formulation of continuum mechanics problems.
4th week: Governing equations of selected continuum mechanics problems.
5th week: Approximate function, global and local coordinates.
6th week: One-dimensional FEM models of discrete and continuous mechanical systems
7th week: FEM discretization and modelling of beams.
8th week: Finite elements, transformation relations.
9th week: Two- dimensional elements, global coordinates.
10th week: Izoparametric elements, numerical integration.
11th week: Localization matrix, FEM discretization of simple structures.
12th week: Modelling of simple elastostatic problems.
13th week: Modelling of simple thermo and hydromechanical problems
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Kim, Nam-Ho; Sankar, Bhavani V. Introduction to finite element analysis and design. New York : John Wiley & Sons, 2009. ISBN 978-0-470-12539-7.
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Recommended:
CHUNG, T., J. Finite Elemente in der Stroemungsmechanik. Carl Hanser Verlag, Munchen, 1983.
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Recommended:
Steinke, Peter. Finite-Elemente-Methode : rechnergestützte Einführung. 3., neu bearbeitete Aufl. Berlin Springer, 2010. ISBN 978-3-642-11204-1.
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Recommended:
Bathe, Klaus-Jürgen. Finite-Elemente-Methoden. 2. Aufl. Berlin : Springer, 2002. ISBN 3-540-66806-3.
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Recommended:
Dankert, J. Numerische Methoden der Mechanik. VEB Fachbuchverlag, Leipzig, 1978.
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Recommended:
Kolář, VLadimír. Výpočet plošných a prostorových konstrukcí metodou konečných prvků. Praha, SNTL, 1972.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for an examination (30-60)
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45
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Contact hours
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39
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Undergraduate study programme term essay (20-40)
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30
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Total
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114
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
klasifikovat diskrétní a spojité mechanické soustavy |
orientovat se v numerické analýze, numerické integraci a tenzorovém počtu |
identifikovat základní vztahy z mechaniky tuhého a poddajného tělesa |
rozpoznat časovou a prostorovou diskretizaci problému |
vysvětlit klasickou mechaniku hmotných bodů a těles |
popsat aproximaci funkcí a význam obyčejných diferenciálních rovnic |
rozpoznat parciální diferenciální rovnice |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
řešit základní úlohy mechaniky diskrétních soustav |
řešit obyčejné diferenciální rovnice prvního a druhého řádu (analyticky i numericky) |
vytvořit a sestavit pohybové rovnice diskrétních mechanických soustav |
analyzovat deformačně napjatostní stav těles s využitím tenzorového počtu |
řešit základní úlohy mechaniky těles s využitím software Matlab |
vytvořit matematický model základních úloh technické fyziky |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
rozpoznat modelování diskrétních a spojitých mechanických systémů |
identifikovat základní typy konečných prvků |
definovat základní úlohy mechaniky kontinua pomocí metody konečných prvků |
orientovat se v numerických metodách řešení diferenciálních rovnic |
Skills - skills resulting from the course: |
navrhnout řešení základních úloh mechaniky kontinua pomocí metody konečných prvků |
řešit deformačně napjatostní analýzu konstrukcí pomocí metody konečných prvků |
vytvořit slabou formulaci úloh mechaniky kontinua |
vybrat vhodný typ konečných prvků pro řešení konkrétní úlohy mechaniky kontinua |
sestavit celkový algoritmus řešení úloh mechaniky kontinua včetně programového vybavení |
analyzovat a realizovat validaci a verifikaci řešených problémů mechaniky kontinua |
Competences - competences resulting from the course: |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Combined exam |
Competences - competence achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Combined exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture with visual aids |
Practicum |
Individual study |
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