| Course Unit Code | 330-0550/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| FUS76 | doc. Ing. Martin Fusek, Ph.D. |
| POR05 | doc. Ing. Zdeněk Poruba, Ph.D. |
| Summary |
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324/5000
The course aims to acquaint students of the follow-up study of design with the finite element method as a tool for solving practically oriented linear problems of technical practice. Theoretical teaching of the basic principles of the method is supplemented by solving specific engineering problems by the method of computer modeling. |
| Learning Outcomes of the Course Unit |
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The aim of the subject is:
- to understand basic principles of finite element method as the tool for the solution of engineering problems
- to analyse the technical problem given and to assess possibilities of its solution using the finite element method, to choose the proper approach of the solution (linear vs. non-linear analysis)
- to solve real linear engineering problems with the focus on structural and thermal tasks - the ability to propose and create the proper model and to interpret results obtained |
| Course Contents |
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1) Approximation technique by the method of weighted residuals
2) Weighted residuals for weak formulation
3) Approximation by parts by a continuous function
4) Galerkin formulation of the finite element method
5) Boundary conditions
6) Bar element - differential equations, weak formulation
7) Bar element - mass matrix, stiffness matrix
8) Bar structure - localization table, global mass matrix, global stiffness matrix
9) Beam element - differential equations, weak formulation
10) Beam element - mass matrix, stiffness matrix
11) Beam structure - localization table, global mass matrix, global stiffness matrix
12) Engineering view of FEM - frequent applications of FEM
13) Problems of 2D finite elements
14) Problems of 3D finite elements |
| Recommended or Required Reading |
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| Required Reading: |
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| [1] REDDY, J. N. An introduction to the finite element method. 3rd edition. New York: McGraw-Hill, 2006. Series in mechanical engineering (McGraw-Hill). ISBN 0-07-246685-5. |
[1] Kolář, Kratochvíl, Leitner, Ženíšek : Výpočet plošných a prostorových konstrukcí MKP, SNTL , Praha 1979.
[2]Bittnar, Řeřicha : MKP v dynamice konstrukcí, SNTL, Praha 1981.
[3] Bittnar, Šejnoha: Numerické metody mechaniky, vyd. ČVUT, Praha 1992. |
| Recommended Reading: |
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| [1] RAO, Singiresu S. The finite element method in engineering. Oxford: Pergamon Press, 1982. |
| [1] RAO, Singiresu S. The finite element method in engineering. Oxford: Pergamon Press, 1982. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 20 |
| Examination | Examination | 65 | 25 |