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.
RYB0077 Ing. David Rybanský, Ph.D.
SOT0036 Ing. Martin Šotola, 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

Additional study materials

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 pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  10
        Examination Examination 65  20 3
Mandatory attendence participation: The knowledge of students is continuously verified during each lesson in the form of discussion and questions with the aim of actively involving students in the lecture. Students elaborate semestral works according to an individual assignment. Students' knowledge is verified at the end of the semester by an oral exam.

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Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students must submit semestral works. On the basis of a successfully completed credit, they can take an oral exam.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2025/2026 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2019/2020 (N3923) Materials Engineering (3911T034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0715A270004) Materials and technologies for the automotive industry TAM P Czech Ostrava 1 Compulsory study plan
2018/2019 (N3923) Materials Engineering (3911T034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2017/2018 (N3923) Materials Engineering (3911T034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2016/2017 (N3923) Materials Engineering (3911T034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Summer
2022/2023 Summer
2021/2022 Summer