330-3004/01 – Modelling in Elastic Body Mechanics I (MODEMPT)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantorprof. Ing. Radim Halama, Ph.D.Subject version guarantorprof. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2016/2017Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 prof. Ing. Radim Halama, Ph.D.
POD10 doc. Ing. Jiří Podešva, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3

Subject aims expressed by acquired skills and competences

The aim of the course is to teach students the basic procedures for solving problems of mechanics of flexible body by the finite element method (FEM). Students will acquire the theoretical knowledge of FEM and subsequently they will learn to solve selected problems from technical practice.

Teaching methods

Lectures
Tutorials

Summary

The aim of the course is to teach students the basic procedures for solving problems of mechanics of flexible body by the finite element method (FEM). Students will acquire the theoretical knowledge of FEM and subsequently they will learn to solve selected problems from technical practice.

Compulsory literature:

[1] Zienkiewicz, O. C., Taylor, R. L.: The Finite Element Method (Volume 1 - 3), Butterworth-Heinemann, Oxford 2000, ISBN 0-7506-5049-4 [2] Lenert, J.: Úvod do metody konečných prvku, VŠB – TU Ostrava, 1999, ISBN 80 – 7078 – 686 – 8 [3] Bittnar, Z., Šejnoha, J.: Numerické metody mechaniky 1, Vydavatelství CVUT, Praha, 1992.

Recommended literature:

[1] Bittnar, Z., Šejnoha, J.: Numerické metody mechaniky 1, Vydavatelství CVUT, Praha, 1992. [2] Beer, G., Watson, J., O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992. ISBN 0-471-92813-5

Way of continuous check of knowledge in the course of semester

test

E-learning

Other requirements

Lecture attendance, not another request

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Problematika modelování, analytické a numerické přístupy k řešení problémů 2. Opakování matematiky potřebné pro další studium (vektory, matice, řešení soustav rovnic, transformace) 3. Numerická matematika (interpolace, aproximace, řešení soustav rovnic, chyby). 4. Opakování základních poznatků mechaniky (statika, kinematika, dynamika, pružnost a pevnost) 5. Metoda konečných prvků – základní myšlenky, přímá tuhostní metoda (úvod). 6. Přímá tuhostní metoda (dokončení). 7. Variační formulace úlohy pružnosti – princip minima potenciální energie 8. Obecná formulace MKP – analýza prvků 9. Obecná formulace MKP – analýza konstrukce 10. Typy prvků a jejich použití 11. Stacionární a Nestacionární úlohy řešené pomocí MKP (statické analýzy, stabilita) 12. Stacionární a Nestacionární úlohy řešené pomocí MKP – (modální analýza, transientní analýza) 13. Úvod do nelineárního MKP, Teplotní úlohy v MKP, Kombinované úlohy 14. Praktické připomínky při řešení úloh pomocí MKP

Conditions for subject completion

Full-time form (validity from: 2016/2017 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  10
        Examination Examination 65  20
Mandatory attendence parzicipation:

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner