339-0312/03 – Introduction to FEM (UMKP)
| Gurantor department | Department of Mechanics of Materials | Credits | 5 |
| Subject guarantor | prof. Ing. Radim Halama, 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 | 2013/2014 | Year of cancellation | 2014/2015 |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Student should learn elementary procedures for solution of elasticity and strength problems by means of finite element method (FEM). Guaranty an understanding of a discussed topic. Student will gain theoretical knowledge of FEM, which they will learn to apply at a solution of selected problems out of a technical practice.
Teaching methods
Lectures
Tutorials
Project work
Summary
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.
Compulsory literature:
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.
Recommended literature:
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.
Way of continuous check of knowledge in the course of semester
Test, example solutions
E-learning
no
Other requirements
Lecture attendance, not another request
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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