| Course Unit Code | 228-0316/01 |
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| Number of ECTS Credits Allocated | 5 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 * | Second Year |
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| Semester when the Course Unit is delivered | Winter 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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| BRO12 | prof. Ing. Jiří Brožovský, Ph.D. |
| LEH061 | Ing. Petr Lehner, Ph.D. |
| Summary |
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| In this subject is focused on use of the Finite Element Method for numerical modeling of problems of statics, non-linear statics and dynamics in the civil engineering. Main principles of heat transfer analysis in civil engineering problems are also given. The practical part of the subject is based on solution of sample problems with use of software. |
| Learning Outcomes of the Course Unit |
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| Understanding of the method principles. Ability to define boundary conditions and loads, ability to select the proper model for problems of statics, non-linear statics, dynamics and heat transfer in civil engineering problems. |
| Course Contents |
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- Úvod, silová metoda a deformační metoda.
- Energetické metody, základní principy MKP.
- Vztah MKP a deformační metody, možnosti kontroly výpočtů.
- Příklad odvození matice tuhosti konečného prvku.
- Izoparametrické konečné prvky.
- Výstižnost, přesnost a konvergence řešení MKP.
- Idealizace výpočetních modelů, vliv na výsledky.
- Nelineární úlohy v MKP.
- Fyzikální nelinearita - plasticita.
- Stabilita, imperfekce a geometrická nelinearita.
- Kontaktní úlohy.
- Úlohy dynamiky konstrukcí.
- Modelování vedení tepla.
- Sdružené úlohy v MKP |
| Recommended or Required Reading |
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| Required Reading: |
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ZIENKIEWICZ, O. C., Robert L. TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. Seventh edition. Amsterdam: Elsevier, Butterworth-Heinemann, 2013. ISBN 978-1856176330.
RUSSELL C. HIBBELER, Mechanics of Materials (10th Edition), 896 pages, 2016, ISBN-13: 978-0134319650, ISBN-10: 0134319656. |
KOLÁŘ, Vladimír, Ivan NĚMEC a Viktor KANICKÝ. FEM: principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 80-7226-021-9.
ZIENKIEWICZ, O. C., Robert L. TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. Seventh edition. Amsterdam: Elsevier, Butterworth-Heinemann, 2013. ISBN 978-1856176330. |
| Recommended Reading: |
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BATHE, Klaus-Jürgen. Finite element procedures in engineering analysis. Englewood Cliffs, N.J.: Prentice-Hall, c1982. ISBN 978-0133173055.
HUGHES, Thomas J. R. The finite element method: linear static and dynamic finite element analysis. Mineola, NY: Dover Publications, 2000. ISBN 978-0486411811. |
BATHE, Klaus-Jürgen. Finite element procedures in engineering analysis. Englewood Cliffs, N.J.: Prentice-Hall, c1982. ISBN 978-0133173055.
HUGHES, Thomas J. R. The finite element method: linear static and dynamic finite element analysis. Mineola, NY: Dover Publications, 2000. ISBN 978-0486411811. |
| 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 | 18 |
| Examination | Examination | 65 | 30 |