337-0009/01 – Finite Element Method in Mechanics (MKPME)

Gurantor departmentDepartment of MechanicsCredits4
Subject guarantorprof. Ing. Petr Horyl, CSc., dr.h.c.Subject version guarantorprof. Ing. Petr Horyl, CSc., dr.h.c.
Study levelundergraduate or graduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction1996/1997Year of cancellation2007/2008
Intended for the facultiesFSIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
SZW73 Ing. Jan Szweda, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 8+6

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

Compulsory literature:

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. P:Vznik metody konečných prvků (MKP), diskretizace mechanických struktur, variační počet v mechanice, Ritzova metoda řešení. C:Seznámení s obsluhou počítačů a řádem počítačové učebny, spuštění výpočetního systému, ukázka vyřešených úloh. 2. P: Deformační varianta MKP, funkce tvaru u ohybu, matice tuhosti, vektor ekvivalentního uzlového zatížení, vnitřní silové účinky. C:Práce s preprocesorem, body a prvky, kopírování a posuvy. 3. P:Matice tuhosti a vektor zatížení systému, optimalizace šířky pásu, základní statická rovnice MKP, způsob ukládání matic v paměti počítačů. C:Typy prvků, materiálové a průřezové charakteristiky prvků. 4. P:Transformace v MKP, matice tuhosti jednorozměrných prvků rovinných a prostorových rámů, vliv pos. síly na deformaci u ohybu. C:Řízení výpočtu, práce s postprocesorem, ukládání text. a grafických výsledků do souborů. 5. P:Hierarchie rovinných a prostorových prvků. C:Zadání programu č.1, samostatné řešení 6. P:Dynamické úlohy a MKP, matice hmotnosti jednorozměrných prvků, C:Staticky určité a neurčité prutové soustavy, zatěžovací stavy. 7. P:Vlastní frekvence a tvary kmitání netlumených systémů. C:Soustavy těles, modelování vazeb. 8. P:Metody výpočtu vlastních frekvencí a tvarů, iterační metody, metody snižování řádů matic. C:Kontrola a hodnocení 1. programu, zadání programu č.2, řešení. 9. P:Metoda modální analýzy, tlumení konstrukcí. C:Modelování s 3D prvky. 10. P:Duhamellův integrál a jeho řešení,odezva pružného systému na impulsní buzení. C:Modelování se skořepinovými prvky. 11. P:Metody přímé integrace pohybových rovnic v dynamice. C:Vlastní kmitání. 12. P:Ztráta stability tvaru. C:Řešení úloh dynamiky formou přímé integrace pohybových rovnic. 13. P:Obecné vyjádření problematiky MKP. C:Řešení problému s teplotním namáháním, hodnocení 2. programu. 14. P:Nelineární úlohy v MKP (kontaktní prvky, materiálová nelinearita). C:Řešení úloh s materiálovou, resp. strukturální nelinearitou, zápočet. Literatura : - Kolář, Kratochvíl, Leitner, Ženíšek : Výpočet plošných a prostorových konstrukcí MKP, SNTL , Praha 1979. - Bittnar, Řeřicha : MKP v dynamice konstrukcí, SNTL, Praha 1981. - Horyl,P. : Úvodní kapitoly MKP, pomocné texty, kat. 337, VŠB Ostrava, 1992. - Bittnar, Šejnoha: Numerické metody mechaniky, vyd. ČVUT, Praha 1992. - Manuály programu ANSYS v elektronické formě - Petruška, J. Počítačové metody v mechanice II . ( ve formátu *.pdf přístupno na adrese: http://www.umt.fme.vutbr.cz/SKRIPTA/petruska/PocitacovaMechanikaII.pdf )

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

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Occurrence in study plans

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2006/2007 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
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2006/2007 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
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2005/2006 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2005/2006 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan
2005/2006 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2005/2006 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2005/2006 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
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2005/2006 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2005/2006 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2301) Mechanical Engineering (2302T032) Minig Equipment P Czech Ostrava 4 Optional study plan
2004/2005 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2004/2005 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling P Czech Ostrava 4 Choice-compulsory study plan
2004/2005 (M2301) Mechanical Engineering (3708T018) Design Operation and Maintenance of Vehicles (10) Building Operation and Maintenance of Railway Vehicles P Czech Ostrava 4 Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2004/2005 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2301) Mechanical Engineering (2302T032) Minig Equipment P Czech Ostrava 4 Optional study plan
2003/2004 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2003/2004 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling P Czech Ostrava 4 Choice-compulsory study plan
2003/2004 (M2301) Mechanical Engineering (3708T018) Design Operation and Maintenance of Vehicles (10) Building Operation and Maintenance of Railway Vehicles P Czech Ostrava 4 Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2003/2004 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
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2002/2003 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2002/2003 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling P Czech Ostrava 4 Choice-compulsory study plan
2002/2003 (M2301) Mechanical Engineering (3708T018) Design Operation and Maintenance of Vehicles (10) Building Operation and Maintenance of Railway Vehicles P Czech Ostrava 4 Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2301) Mechanical Engineering (2302T032) Minig Equipment P Czech Ostrava 4 Optional study plan
2001/2002 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2001/2002 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling P Czech Ostrava 4 Choice-compulsory study plan
2001/2002 (M2301) Mechanical Engineering (3708T018) Design Operation and Maintenance of Vehicles (10) Building Operation and Maintenance of Railway Vehicles P Czech Ostrava 4 Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2000/2001 (M2301) Mechanical Engineering (2302T032) Minig Equipment P Czech Ostrava 4 Optional study plan
2000/2001 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling K Czech Ostrava 5 Choice-compulsory study plan
2000/2001 (M2301) Mechanical Engineering (2301T001) Transport and Material Handling P Czech Ostrava 4 Choice-compulsory study plan
2000/2001 (M2301) Mechanical Engineering (3708T018) Design Operation and Maintenance of Vehicles (10) Building Operation and Maintenance of Railway Vehicles P Czech Ostrava 4 Choice-compulsory study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava 5 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner