330-0316/01 – Finite Element Methods 1 (MKP1)
| Gurantor department | Department of Applied Mechanics | Credits | 5 |
| Subject guarantor | doc. Ing. Martin Fusek, Ph.D. | Subject version guarantor | prof. Ing. Radim Halama, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 3 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Students gain the theoretical foundations of the finite element method (FEM) and the procedures for solving problems of elasticity using the numerical method. Basic training of FEM application on the selected tasks from engineering practice.
Teaching methods
Lectures
Tutorials
Project work
Summary
The subject forms the basis for the use of finite element method in engineering practice.
Contents are general formulation of continuum mechanics, fundamentals linearization, introduction to variational methods, finally FEM applications to specific types of problems of linear elasticity.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Test, example solutions
E-learning
no
Other requirements
Předmět zahrnuje výklad základů MKP pro lineární strukturální problémy a má praktické zaměření:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction