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FEM Computations

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Course Unit Code330-0315/01
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *Third Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
POR05doc. Ing. Zdeněk Poruba, Ph.D.
MAW007doc. Ing. Pavel Maršálek, Ph.D.
Summary
The subject extends the students abilities to solve the technical problems via
computer modelling. The basic tool is the finite element method and appropriate
application software (Ansys). The subject is focused to these areas of computer
modelling, not covered by other subjects. They are specially : the non-linear
problems - geometric non-linearities, contact problems, the problems of
temperature dilatation, the heat conduction and convection - the steady-state
and the transient analysis, the advanced modelling techniques, the linear
buckling, parametric optimisation.
Learning Outcomes of the Course Unit
Students will gain insight in following topics:
Principle of volume discretization in the FEM.
Purpose of the shape function in approximation of displacement.
Features of different types of element and involving symmetry to computation.
Estimation of result accuracy and determination of inaccuracies causes.
Static equilibrium computation.
Quasi-static task solving heat convection including stresses caused by
heating.
Vibrations; solving modes of vibration and natural frequencies.
Linear buckling; introductory task.
Course Contents
Students will gain insight in following topics:
Principle of volume discretization in the FEM.
Purpose of the shape function in approximation of displacement.
Features of different types of element and involving symmetry to computation.
Estimation of result accuracy and determination of inaccuracies causes.
Static equilibrium computation.
Quasi-static task solving heat convection including stresses caused by
heating.
Vibrations; solving modes of vibration and natural frequencies.
Linear buckling; introductory task.
Recommended or Required Reading
Required Reading:
[1] ZIENKIEWICZ, O. C. a Robert L. TAYLOR. The finite element method. 5th ed. Boston: Butterworth-Heinemann, 2000. ISBN 0-7506-5055-9.
[2] ZIENKIEWICZ, O. C., Robert Leroy TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0..
[1] LENERT, J. Úvod do metody konečných prvků. Ostrava: VŠB - Technická univerzita Ostrava, 1999. ISBN 80-7078-686-8.
[2] SZWEDA, J., PORUBA, Z., SIKORA R. a FRANTIŠEK, O. Matematika v pozadí inženýrských úloh [online]. Ostrava: VŠB-TU Ostrava, 2012 [cit. 2018-01-11]. Dostupné z: http://mi21.vsb.cz
[3] FUSEK, M., HALAMA, R. Metoda konečných prvků a metoda hraničních prvků [online]. Ostrava: VŠB-TU Ostrava, 2011 [cit. 2018-01-11]. Dostupné z: http://mi21.vsb.cz
[4] ZIENKIEWICZ, O. C., Robert Leroy TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0..
Recommended Reading:
[1] KYTHE, P.K. a WEI,D. Introduction to linear and nonlinear finite element analysis: a computational approach. S.l.: Springer-Verlag New York, 2013. ISBN 9781461264668.
[1] KYTHE, P.K. a WEI,D. Introduction to linear and nonlinear finite element analysis: a computational approach. S.l.: Springer-Verlag New York, 2013. ISBN 9781461264668.
[2] KOLÁŘ, V, NĚMEC, I. a KANICKÝ, V. FEM: principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 80-7226-021-9.
Planned learning activities and teaching methods
Tutorials, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 51