330-0550/01 – FEM in Mechanics (MKPVM)
| Gurantor department | Department of Applied Mechanics | Credits | 4 |
| Subject guarantor | doc. Ing. Zdeněk Poruba, Ph.D. | Subject version guarantor | doc. Ing. Zdeněk Poruba, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2020/2021 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The aim of the subject is:
- to understand basic principles of finite element method as the tool for the solution of engineering problems
- to analyse the technical problem given and to assess possibilities of its solution using the finite element method, to choose the proper approach of the solution (linear vs. non-linear analysis)
- to solve real linear engineering problems with the focus on structural and thermal tasks - the ability to propose and create the proper model and to interpret results obtained
Teaching methods
Lectures
Tutorials
Summary
324/5000
The course aims to acquaint students of the follow-up study of design with the finite element method as a tool for solving practically oriented linear problems of technical practice. Theoretical teaching of the basic principles of the method is supplemented by solving specific engineering problems by the method of computer modeling.
Compulsory literature:
Recommended literature:
[1] RAO, Singiresu S. The finite element method in engineering. Oxford: Pergamon Press, 1982.
Additional study materials
Way of continuous check of knowledge in the course of semester
Zápočet: Zpracování a obhajoba programu - MKP analýza zadané strojní součásti.
Zkouška písemná a ústní: ověření teoretických znalostí.
E-learning
Other requirements
Nejsou další požadavky
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1) Approximation technique by the method of weighted residuals
2) Weighted residuals for weak formulation
3) Approximation by parts by a continuous function
4) Galerkin formulation of the finite element method
5) Boundary conditions
6) Bar element - differential equations, weak formulation
7) Bar element - mass matrix, stiffness matrix
8) Bar structure - localization table, global mass matrix, global stiffness matrix
9) Beam element - differential equations, weak formulation
10) Beam element - mass matrix, stiffness matrix
11) Beam structure - localization table, global mass matrix, global stiffness matrix
12) Engineering view of FEM - frequent applications of FEM
13) Problems of 2D finite elements
14) Problems of 3D finite elements
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction