Skip to main content
Skip header

Numerical Methods of Mechanics II

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code330-0533/02
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionEnglish
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
FUS76doc. Ing. Martin Fusek, Ph.D.
HAL22prof. Ing. Radim Halama, Ph.D.
POR05doc. Ing. Zdeněk Poruba, Ph.D.
MAW007doc. Ing. Pavel Maršálek, Ph.D.
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.
Learning Outcomes of the Course Unit
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.
Course Contents
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
Recommended or Required Reading
Required Reading:
[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5
[1] LENERT,J. Základy matematické teorie pružnosti. 1. vyd. Ostrava : VŠB-TU, 1997. 96 s. ISBN 80-7078-437-7
[2] LENERT,J. Úvod do metody konečných prvků. 1. vyd. Ostrava : VŠB-TU, 1999. 110 s. ISBN 80-7078-686-8
[3] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 1. Praha : Vydavatelství ČVUT, 1992. 310 s. ISBN 80-01-00855-X.
[4] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 2. Praha : Vydavatelství ČVUT, 1992. 261 s. ISBN 80-01-00901-7.
[5] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5
Recommended Reading:
[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3
[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 20
        ExaminationExamination65 25