330-0533/01 – Numerical Methods of Mechanics II (MKPII)
Gurantor department | Department of Applied Mechanics | Credits | 5 |
Subject guarantor | doc. Ing. Martin Fusek, Ph.D. | Subject version guarantor | doc. Ing. Martin Fusek, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2021/2022 | Year of cancellation | |
Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis.
Teaching methods
Lectures
Tutorials
Summary
The course builds on the course FEM1. It extends the foundations for the use of the finite element method in technical practice by the issue of stationary and non-stationary tasks. Furthermore, students will become familiar with the solution of tasks falling in the field of thermal stress (multiphysical problem) and thus extend their knowledge of the basic course on this issue. Further numerical methods applicable in the mechanics of flexible bodies (finite difference method, BEM) will be discussed.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
project development and its defense,
combined exam
E-learning
Other requirements
There are no further requirements for the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction, revision (matrix calculus, continuum mechanics, numerical methods, modeling)
2. Finite element method - basic concepts, stationary and non-stationary problems
3. Linear loss of shape stability
4. Motion equations of elastic systems, Dynamics and FEM
5. Eigen frequencies and eigenmodes of oscillation
6. Solution of mechanical system response by the method of development into eigenmodes - proportional damping matrix
7. Direct integration methods of motion equations - implicit methods
8. Direct integration methods of motion equations - explicit methods
9. Basic terms of thermomechanics, material and temperature
10. Basic equations of thermoelasticity, FEM in thermal problems
11. Heat transfer
12. Mutltiphysical problems
13. Introduction to the network method
14. Introduction to boundary element method
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