Course Unit Code | 330-0533/02 |
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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 * | First 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 | English |
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Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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Name of Lecturer(s) | Personal ID | Name |
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| FUS76 | doc. Ing. Martin Fusek, Ph.D. |
| HAL22 | prof. Ing. Radim Halama, Ph.D. |
| POR05 | doc. Ing. Zdeněk Poruba, Ph.D. |
| MAW007 | doc. Ing. Pavel Maršálek, Ph.D. |
Summary |
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The course builds on the course FEM1. It extends the foundations for the use of the finite element method in technical practice by the issue of stationary and non-stationary tasks. Furthermore, students will become familiar with the solution of tasks falling in the field of thermal stress (multiphysical problem) and thus extend their knowledge of the basic course on this issue. Further numerical methods applicable in the mechanics of flexible bodies (finite difference method, BEM) will be discussed.
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Learning Outcomes of the Course Unit |
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Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis. |
Course Contents |
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1. Introduction, revision (matrix calculus, continuum mechanics, numerical methods, modeling)
2. Finite element method - basic concepts, stationary and non-stationary problems
3. Linear loss of shape stability
4. Motion equations of elastic systems, Dynamics and FEM
5. Eigen frequencies and eigenmodes of oscillation
6. Solution of mechanical system response by the method of development into eigenmodes - proportional damping matrix
7. Direct integration methods of motion equations - implicit methods
8. Direct integration methods of motion equations - explicit methods
9. Basic terms of thermomechanics, material and temperature
10. Basic equations of thermoelasticity, FEM in thermal problems
11. Heat transfer
12. Mutltiphysical problems
13. Introduction to the network method
14. Introduction to boundary element method |
Recommended or Required Reading |
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Required Reading: |
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[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5
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[1] LENERT,J. Základy matematické teorie pružnosti. 1. vyd. Ostrava : VŠB-TU, 1997. 96 s. ISBN 80-7078-437-7
[2] LENERT,J. Úvod do metody konečných prvků. 1. vyd. Ostrava : VŠB-TU, 1999. 110 s. ISBN 80-7078-686-8
[3] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 1. Praha : Vydavatelství ČVUT, 1992. 310 s. ISBN 80-01-00855-X.
[4] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 2. Praha : Vydavatelství ČVUT, 1992. 261 s. ISBN 80-01-00901-7.
[5] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5
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Recommended Reading: |
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[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3 |
[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3 |
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 |