516-0203/01 – Theoretical Mechanics ()

Gurantor departmentInstitute of PhysicsCredits4
Subject guarantorRNDr. Jana Viliamsová, Ph.D.Subject version guarantorRNDr. Jana Viliamsová, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year3Semesterwinter
Study languageCzech
Year of introduction2000/2001Year of cancellation2005/2006
Intended for the facultiesFASTIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
VIL66 RNDr. Jana Viliamsová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

Theoretical mechanics is specialized in mechanics of unattached primary elements (kinematics and Newtons dynamics) and bound primary elements ( Lagrange and Hamilton equations of motion, principle of virtual displacements). Below is occupy oneself by calculus of variations, theory of Hamilton (canonical transformation, Poisson brackets, and Hamilton –Jacobi equation). For solid is defined tensor of inertia and Euler equations.

Compulsory literature:

Brandbury,T.C.: Teoretical Mechanics. J.Wiley. New York- London- Sydney 1968

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. Předmět a rozdělení teoretické mechaniky. 2. Mechanika volných hmotných bodů. Newtonovy pohybové zákony. Zákon zachování: hybnosti, momentu hybnosti, mechanické energie. 3. Vazby a jejich klasifikace. Lagrangeovy pohybové rovnice I. druhu. Princip virtuální práce. Zobecněné souřadnice. Lagrangeovy pohybové rovnice II.druhu. Lagrangeova funkce. 4. Variační principy: Hamiltonův princip, Eulerův princip. Zákony zachování. 5. Hamiltonova funkce. Hamiltonova rovnice. Kanonické transformace. Poissonovy závorky. Pohyb jako kanonická transformace. Liouvillova věta. Hamiltonova – Jacobiho rovnice. 6. Mechanika tuhého tělesa. Kinetická energie. Tenzor setrvačnosti. Moment hybnosti. Eulerovy úhly a Eulerovy pohybové rovnice. 7. Mechanika kontiua. Tenzor napětí. Rovnováha kontinua. Tenzor deformace a tenzor rychlosti deformace. Pohybové rovnice. Podmínky kompatibility malých deformací.

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:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2004/2005 (M3607) Stavební inženýrství (3607T006) Geotechnical and Underground Engineering P Czech Ostrava 3 Choice-compulsory study plan
2003/2004 (M3607) Stavební inženýrství (3607T006) Geotechnical and Underground Engineering P Czech Ostrava 3 Choice-compulsory study plan
2002/2003 (M3607) Stavební inženýrství (3607T006) Geotechnical and Underground Engineering P Czech Ostrava 3 Choice-compulsory study plan
2001/2002 (M3607) Stavební inženýrství (3607T006) Geotechnical and Underground Engineering P Czech Ostrava 3 Choice-compulsory study plan
2000/2001 (M3607) Stavební inženýrství (3607T006) Geotechnical and Underground Engineering P Czech Ostrava 3 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner