228-0212/01 – Finite element method basics (ZMKP)
Gurantor department | Department of Structural Mechanics | Credits | 5 |
Subject guarantor | prof. Ing. Jiří Brožovský, Ph.D. | Subject version guarantor | prof. Ing. Jiří Brožovský, Ph.D. |
Study level | undergraduate or graduate | | |
| | Study language | Czech |
Year of introduction | 2010/2011 | Year of cancellation | 2021/2022 |
Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Understanding of basic principles of the finite element method. Ability to create simple computational programs which use finite element method. Ability to apply the method for structural mechanics problems.
Teaching methods
Lectures
Tutorials
Summary
Basic principles of the method. Derivation of simple finite elements. Use of finite element method for typical structural mechanics problems. Relation between Rith method and the finite element method. Principles of modelling. Verificatio of results.
Compulsory literature:
1. Cook R. D. et al., Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 1989
Recommended literature:
1. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005
2. Cook R. D. , Finite Element Modeling for Stress Analysis, John Wiley & Sons, 1995
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).
Tasks assigned on the exercises must be hand in within the dates set by the teacher.
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures
1. Variational methods in theory of elasticity, Ritz method
2. Basic principles of the finite element method.
3. Alghoritm ot the method.
4. Frame structures.
5. Plane problem: introduction.
6. Plane problem: types of problems, solution, interpretation of results.
7. Thin slabs - introduction.
8. Thin slabs (Kirchhoff theory).
9. Thick slabs (Mindlin theory).
10. Slabs on elastic fundament.
11. Shells - introduction.
12. Shells.
13. Volumes (3D finite elements)
14. Comparison on 1D, 2D, 3D elements.
Seminaries:
1. Repeating of structural mechanics and elasticity.
2. Ritz method on beams - indroduction.
3. Ritz method.
4. Link element - basic computational procedures.
5. Link element - complex example.
6. Constant strain triangle element - preparation.
7. Constant strain triangle - plane stress problem.
8. Constant strain triangle - plane strain.
9. Direct displacement load, elastic supports - inclusion into FEM routine.
10. Direct displacement load, elastic supports - custom example.
11. Combination of more finite element types in one model.
12. Modelling of loads - comparison of approaches.
13. Individual projects - consultations.
14. Final presentation of individual projects.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction