Course Unit Code | 330-0505/01 |
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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 * | 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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| ROJ71 | Ing. Jaroslav Rojíček, Ph.D. |
| FUS76 | doc. Ing. Martin Fusek, Ph.D. |
Summary |
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This subject forms the grounds for using of finite elements methods in technical praxis. The subject formulates the nonlinear mechanics of continuum. The grounds are: general formulations of continuum mechanics, the grounds of linearization, introduction to variational methods, finally the application of finite elements method for concrete types of problems of linear mechanics of materials. |
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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Subject includes an explication of FEM foundations for linear structural problems and also has practical focus:
1. Lecture – Elementary thought of FEM. Selection of interpolator functions. Types of elements. Derivation of stiffness matrix of a truss element. Equations of an elasticity mathematical theory. Minimal principle of potential energy. Process at FEM calculation. Conditions of convergence.
2. Lecture – assembly of global stiffness matrix and right side. Foundations of Ansys Workbench (description of individual models, work with help). Example 1: application example – beam in 3D.
3. Lecture – Computational modelling. Simplified exercises from 3D to 1D and 2D. Example 2: wrenche.
4. Lecture – Choice of boundary conditions. Singularity. Reading geometry from CAD model and its modification. Example 3: symmetry usage.
5. Lecture- Error of FEM calculation (aposteriori estimate). Adaptive FEM algorithm (h-method). Example 4: Think walled pressure tin.
6. Lecture - Seminary work.
7. Lecture – Seminary work.
8. Lecture – Seminary work.
9. Lecture – Final test, finalization and handing over a seminary work.
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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 Engineers, John Wiley & Sons,1992
[2] BROWN,D.K.: An Introduction to the Finite Element Method using BASIC Programs, Surrey University Press, Blackie & Son Ltd, 1990, 2nd ed.
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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. |
Recommended Reading: |
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1] BEER,G.-WATSON,J.O.: Introduction to Finite and Boundary Element Methods for Engineers, John Wiley & Sons,1992
[2] BROWN,D.K.: An Introduction to the Finite Element Method using BASIC Programs, Surrey University Press, Blackie & Son Ltd, 1990, 2nd ed.
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[1] BEER,G.-WATSON,J.O.: Introduction to Finite and Boundary Element Methods for Engineers, John Wiley & Sons,1992
[2] BROWN,D.K.: An Introduction to the Finite Element Method using BASIC Programs, Surrey University Press, Blackie & Son Ltd, 1990, 2nd ed.
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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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Graded credit | Graded credit | 100 | 51 |