330-0903/01 – Finite Element Method in Mechanics (MKPME)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantordoc. Ing. Zdeněk Poruba, Ph.D.Subject version guarantordoc. Ing. Jiří Podešva, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFS, USPIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
MAW007 Ing. Pavel Maršálek, Ph.D.
POD10 doc. Ing. Jiří Podešva, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 2+2
Combined Examination 18+10

Subject aims expressed by acquired skills and competences

Students will extend and make deeper their theoretical knowledge of the background of FEM and the numerical procedures that lead to the practical use of the method. Especially the problematics of solving nonlinear tasks will be deepen.

Teaching methods

Lectures
Individual consultations
Project work

Summary

The subject deepens basic knowledge from the area of computational modeling by finite element method and focuses especially on geometrical, material and structural nonlinearities and further on advanced issues, e.g. FSI - Fluid Structure Interaction. The teaching process is realized both in theoretical and practical level on examples from technical practice.

Compulsory literature:

Cook R. D., Malkus D.S., Plesha M.E., Witt R.J. CONCEPTS AND APPLICATIONS OF FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002, p. 719, ISBN 0-471-35605-0 REDDY, J.N., An Introduction Nonlinear Finite Element Analysis, Oxford University Press, 2004, p. 463, ISBN 0-19-852529-X WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN 3-540-67747 BHATTI,M.A., Advanced Topics in Finite Element Analysis of Structures: with Mathematica and Matlab Computations, Wiley, 2006, p.590, ISBN-13 978-0-471- 64807-9

Recommended literature:

Examples for ANSYS solutions: http://www.mece.ualberta.ca/tutorials/ansys/ Zhi-Hua Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford University Press, 1993, p. 371, ISBN 0-19 856383-3 WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN 3-540-67747

Way of continuous check of knowledge in the course of semester

The workout of the individual project on the given theme.

E-learning

Další požadavky na studenta

Adequate appropriate knowledge in the area of finite element method.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Finite element method - the basic principles. 2. Formulation of the stiffness matrix and mass matrix for the dynamic task. 3. The finite element types, 1D beam or truss element, 2D shell element, 3D volume element. 4. The basic rules for building the model, geometry model, finite element model. 5. The boundary condition definition - the supports, loading. 6. The static case formulation basic rules, equations of equilibrium, solution methods. 7. The natural vibration task, modal analysis, natural frequencies and mode shapes, solution methods. 8. Harmonically excited forced vibration, vibration due to centrifugal force, phase shift, damping, solution methods. 9. Harmonically excited forced vibration, postprocessing, time curves, amplitude characteristics. 10. Numerical integration of the equations of motion, transient analysis, solution methods. 11. Numerical integration of the equations of motion, the solution set-up rules. 12 Spectral analysis, fourier decomposition, random excitation, “white noise”.

Conditions for subject completion

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

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Occurrence in study plans

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner