470-8725/01 – Computer Modelling (PM AVAT)
| Gurantor department | Department of Applied Mathematics | Credits | 4 |
| Subject guarantor | doc. Ing. Dalibor Lukáš, Ph.D. | Subject version guarantor | doc. Ing. Dalibor Lukáš, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FS, USP | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Graduate students will be able:
- to use actively new terms in the field of computer modeling necessary for understanding of modern computational methods
- to solve standard engineering problems in mechanics using FEM
- to apply different discretization techniques to the numerical solution of selected engineering problems.
Teaching methods
Lectures
Tutorials
Summary
Within this subject students will become familiar with new terms in the field of computer modeling necessary for understanding of modern computational methods. They will study different approaches of solving basic problems in mechanics using Finite Element Method and further they will try their application to selected problems from technical practice.
Compulsory literature:
Recommended literature:
[1] REDDY, J. N. An introduction to the finite element method. 2nd Edition. McGraw-Hill, 1993.
Way of continuous check of knowledge in the course of semester
Test (10 pts.)
Project (20 pts.)
E-learning
Other requirements
There are no other requirements on a student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Content:
1. Principle of FEM in static problems, discretization, deformation parameters.
2. Stiffness matrix of a truss element, load vector.
3. Assembling of global matrices and vectors, fundamental matrix equation in statics.
4. Solution of displacement and reactions in practical exercises with truss elements.
5. Transformation from the local to the global coordinate system.
6. Applications for lattice design.
7. Beam element stiffness matrix and application statics on the plane frames.
8. Mathematical formulation of the Finite Element Method (weak formulation of the problem, its discretization, solving the linear system of equations).
9. Finite differences method and its application to solving selected statics and transient problems of mechanics.
10. Introduction of boundary element methods and its applications.
11. Introduction of discrete elements and its applications.
12. Error analysis (a prior and a posterior estimates), visualization tools.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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